Chapter_08.ipynb

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   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import stats\n",
    "\n",
    "import dowhy\n",
    "from dowhy import CausalModel\n",
    "\n",
    "from sklearn.linear_model import LinearRegression, LogisticRegression, LassoCV\n",
    "from sklearn.ensemble import GradientBoostingRegressor\n",
    "\n",
    "from tqdm import tqdm\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('fivethirtyeight')\n",
    "\n",
    "import graphviz"
   ]
  },
  {
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    {
     "data": {
      "text/plain": [
       "'0.8'"
      ]
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     "output_type": "execute_result"
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   ],
   "source": [
    "dowhy.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "COLORS = [\n",
    "    '#00B0F0',\n",
    "    '#FF0000'\n",
    "]"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 08\n",
    "\n",
    "In this chapter we focus on the assumptions we need to meet when working with causal inference. The chapter is of great importance as causal inference relies heavily on these assumptions and not meeting them might lead to biased results. We discuss positivity and exchangeability assumptions. Next, we discuss other assumptions. In the last part of the chapter we focus on unobserved variables and discuss them from yet another angle."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Not Enough Data - The Experiment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Construct the graph (the graph is constant for all iterations)\n",
    "nodes = ['S', 'Q', 'X', 'Y', 'P']\n",
    "edges = ['SQ', 'SY', 'QX', 'QY', 'XP', 'YP', 'XY']\n",
    "\n",
    "# Generate the GML graph\n",
    "gml_string = 'graph [directed 1\\n'\n",
    "\n",
    "for node in nodes:\n",
    "    gml_string += f'\\tnode [id \"{node}\" label \"{node}\"]\\n'\n",
    "\n",
    "for edge in edges:\n",
    "    gml_string += f'\\tedge [source \"{edge[0]}\" target \"{edge[1]}\"]\\n'\n",
    "    \n",
    "gml_string += ']'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
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      "  0%|                                                                                            | 0/4 [00:00<?, ?it/s]C:\\Users\\aleks\\anaconda3\\envs\\causal_book_py38\\lib\\site-packages\\tqdm\\auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
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     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
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      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
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      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      " 25%|█████████████████████                                                               | 1/4 [00:33<01:39, 33.28s/it]A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      " 50%|██████████████████████████████████████████                                          | 2/4 [01:01<01:00, 30.14s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n",
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      " 75%|███████████████████████████████████████████████████████████████                     | 3/4 [01:38<00:33, 33.62s/it]A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "100%|████████████████████████████████████████████████████████████████████████████████████| 4/4 [04:29<00:00, 67.33s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear_regression\n",
      "{'control_value': 0, 'treatment_value': 1, 'test_significance': None, 'evaluate_effect_strength': False, 'confidence_intervals': False, 'target_units': 'ate', 'effect_modifiers': []}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# Define the true effect\n",
    "TRUE_EFFECT = .7\n",
    "\n",
    "# Define experiment params\n",
    "sample_sizes = [30, 100, 1000, 10000]\n",
    "noise_coefs = [.1, .2, .3, .4, .5, .6, .7, .8]\n",
    "n_samples = 20\n",
    "\n",
    "# Record the results\n",
    "results = []\n",
    "\n",
    "# Run the experiment\n",
    "for sample_size in tqdm(sample_sizes):\n",
    "    for noise_coef in noise_coefs:\n",
    "        for i in range(n_samples):\n",
    "        \n",
    "            # Generate the data\n",
    "            S = np.random.random(sample_size)\n",
    "            Q = 0.2*S + noise_coef*np.random.random(sample_size)\n",
    "            X = 0.14*Q + noise_coef*np.random.random(sample_size)\n",
    "            Y = TRUE_EFFECT*X + 0.11*Q + 0.32*S + noise_coef*np.random.random(sample_size)\n",
    "            P = 0.43*X + 0.21*Y + noise_coef*np.random.random(sample_size)\n",
    "\n",
    "            # Encode as a pandas df\n",
    "            df = pd.DataFrame(np.vstack([S, Q, X, Y, P]).T, columns=['S', 'Q', 'X', 'Y', 'P'])\n",
    "\n",
    "            # Instantiate the CausalModel \n",
    "            model = CausalModel(\n",
    "                data=df,\n",
    "                treatment='X',\n",
    "                outcome='Y',\n",
    "                graph=gml_string\n",
    "            )\n",
    "\n",
    "            # Get the estimand\n",
    "            estimand = model.identify_effect()\n",
    "\n",
    "            # Get estimate (DML)\n",
    "            estimate_dml = model.estimate_effect(\n",
    "                identified_estimand=estimand,\n",
    "                method_name='backdoor.econml.dml.DML',\n",
    "                method_params={\n",
    "                    'init_params': {\n",
    "                        'model_y': GradientBoostingRegressor(),\n",
    "                        'model_t': GradientBoostingRegressor(),\n",
    "                        'model_final': LassoCV(fit_intercept=False),\n",
    "                    },\n",
    "                    'fit_params': {}}\n",
    "            )   \n",
    "\n",
    "            # Get estimate (Linear Regression)\n",
    "            estimate_lr = model.estimate_effect(\n",
    "                identified_estimand=estimand,\n",
    "                method_name='backdoor.linear_regression')\n",
    "\n",
    "            results.append(\n",
    "                {\n",
    "                    'sample_size': sample_size,\n",
    "                    'noise_coef': noise_coef,\n",
    "                    'estimate_dml': estimate_dml.value,\n",
    "                    'estimate_lr': estimate_lr.value,\n",
    "                    'error_dml': estimate_dml.value - TRUE_EFFECT,\n",
    "                    'error_lr': estimate_lr.value - TRUE_EFFECT\n",
    "                }\n",
    "            )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DpFarce7cOZ2CcOnSJbRv316nILRo0eJ/roKpYGv7D0ilp3XeLzcX6NAB2LED+PBDoKgIcHMDpk8HwsPLy+CC/Pyfoc+7DFgGiKhcRUVFGDZsGPLy8rBr1y7uBSejkJ+frzNaOTk5GaWlpTqjld966wYcHMY+dddAdDQwefLjKwFz5gBpaUBiYvmfJwgWKCxcB5VKf2/MZRkgomdSq9WYOHEiUlNTER0djXr16okdiajSXb9+XefqQUTEHwgLK3/nQEAAUFIC/PILkJoKNG/+7PcvLu6LoqI1lZy68rAMENFzCYKAefPmISYmBrGxsWjRooXYkYiqlJVVL1hY/FTu92/fBpycgLlzgTFjnv9+paXvobDwQCUmrFx8qDkRPZdEIsH06dMxfPhw+Pj44OTJk2JHIqoU9+/fR1paGtRqtc7XzczU5fzEYw0aAA4Oj+8feBFPW27QJ/p7NwMR6Z1hw4bB3t4evXv3xo4dO9ClSxexIxG9ku+++w5Dhw6FpaUlFAoFvL298c477+C11yr38CgI+v3kRpYBIqoQpVKJunXrIjQ0FKtXr4aXl5fYkYhempubG6ysrFBYWIijR4/it99+g1qtRkxMTVTmIE6NptHzXyQilgEiqrD3338f+/btQ9++fTFr1iz06dNH7EhELywnJ0e7i+DYsWMoLCzUfk8ikaBly5bo3DkCgvAJJJKSV/48QbCAStXtld+nKrEMENFLUSgUOHz4MJRKJXJychAZGSl2JKIyiouLkZGRoTPG+N69e9ophREREbh37x4yMjJgbW0NX19frFy5EpaWUmg0W8rMGfi7rKwXy6DROP31NEP9xTJARC+tbdu2SEpK0haCzz//nOOLSTSCIODy5cs6B/4zZ86gdevWUCgUeP/99zF58mS0adNG5/kFf/zxB06cOIHZs2djyJAh2q+XlnaHmdn5F3o4UfmZZCgt9YW+H265tZCIXtndu3cRFBSEtm3b4quvvoJMpt//8JFxyMvL084FePKrlZWVdnCQXC6Hu7s7rK2tn/k+d+7cwZ07d+Dq6qrz9cuXL6BOHV84Ot566YwqlScKCpLAZxMQkUkoKChA//79YWFhgc2bN1fLo2XJdJSWluLkyZM6Z/23bt1Cp06dtA8kUigUaPS/DweogEePHuGXX37BN998g8TERNy5cwdNmgi4dKkNzM3PV/j9+NRCIjJJJSUlGDVqFK5du4Y9e/agTp06YkciAyQIAq5evapz1p+ZmYnmzZvrPI2wXbt2lXYVShAEtGnTBgUFBSgqKoIgPD409u7dG9u2zYG1dTik0rQXWjIQBBnUancUFm41iCIAsAwQUSXTaDSYNm0ajh49ipiYGDRs2FDsSKTnHj58iOPHj+sc/AVB0HlWgIeHB2rVqlWlOfbt24cxY8agqKgIAGBtbY24uDh4enoCUMPScj7Mzb+BmdnFp+4yEAQLaDROKC31RXHxVOj70sDfsQwQUaUTBAFLly7F9u3bERsbCycnJ7EjkZ5Qq9U4ffq0zoH/ypUrcHV11Tnrb9asWbXfjJqTk4O3334bt2/fhlqtRpMmTXDixIkyTzOUyQ5BKv0WR49GoV69OmjfvhM0mkZQqbr9tWvA8O6ZMbzERKT3JBIJJkyYAAcHB3Tv3h179+6Fu7u72LFIBLdu3cKxY8e0B//09HQ0aNBAe9Y/ePBgdOjQAebm4k7ou3LlCpRKJUJDQ1FUVISVK1di6NChTykkMqhU/tizR43hw6Mgk+XjzJlNsLOzEyV3ZeGVASKqUocOHcL48eOxefNmvP3222LHoSpUWFiI9PR07Q1+KSkpKCgo0N7Z/+TXunXrih1Vx6lTpxAYGIjRo0dj+PDhEAQBGzduRGBg4FPve1Gr1XBzc8P169chk8kwcuRIzJ49u/qDVyKWASKqcv/3f/+HQYMGYenSpejZU7+Hr9CL0Wg0uHDhgs7d/efPn4eLi4vOWn+rVq30evbEf/7zH/Tr1w/z5s1DQEDAC/1MdHQ0xo4di4KCAgCAlZUVTp48adBXB1gGiKhapKenIzg4GFOnTkV4eLjYcaiCcnNzteN7U1JScPz4cdSpU0fnrN/NzQ01atQQO+oLO3LkCEaNGoX169fjgw8+eKGfEQQBrq6uuH79uvZrZmZmGD16ND7//PMqSlr1eM8AEVWLTp06ISEhAf7+/sjJycGECRP0+ozRlBUXFyMzM1PnrP/u3bvo3LkzFAoFhg0bBoVCgXr16okd9aXt2bMHn332Gfbu3QuFQlGhnw0ODsaDBw/www8/oGXLlmjVqpXB3xPDKwNEVK1u3boFpVKJrl27Yt68eTpjYan6CYKArKwsnQP/6dOn0apVK51hPs7Ozkbz32rVqlVYt24dYmJi0LZt25d+n/DwcPTq1Qt+fn6VmE4cvDJARNWqYcOGiI+PR58+fTBs2DCsWbMGFhYWYscyGXl5eTh+/LjOCF9LS0vttr6ePXvC3d0dNjY2YketdIIgYNasWUhMTERSUhKaNjWMgUDVgWWAiKpdnTp1EBsbi0GDBqFPnz7Yvn27UR58xPZkhO/f9/TfuHEDbm5uUCgUCA0NxbJly9C4cWOxo1Y5lUqFsWPH4syZM0hMTDTom/2qAssAEYnCysoKO3bswJgxY9CrVy9ERUXxH+hXIAgCrl27pnPgz8jIQLNmzSCXy/Haa69h5MiRcHFxMbkHST169AiDBg1CSUkJ4uLiWDyfwrT+RBCRXpHJZFi1ahVmzZoFb29vxMTE8NLtC3r48CFSU1N1Dv5qtVq7xj9lyhR4eHigdu3aYkcVVV5eHvr06YOmTZti9erVXJIqB8sAEYlKIpHg888/h729Pby8vF75pi5jpFarcfbsWZ2b/LKysrQjfP39/fHll1+iefPm3KHxN7xZ9cWxDBCRXoiMjISDgwN69OiB3bt3V3i7lzG5ffu2zoE/LS0N9evX1571h4eHw9XVlWe5z3Dp0iX4+/ujX79+GD9+PEvSc7AMEJHe6NOnD+zs7BAcHIyvv/76hQfBGLJHjx4hPT1dZ35/fn6+dpjP6NGjIZfLeT9FBTwZcDVt2jQMGDBA7DgGgWWAiPTKxx9/jF27dlV4RKwh0Gg0uHjxos5Z/7lz59C2bVt4enrCy8sLn3zyCZycnHgm+5J+/vlnDBw4kKOvK4hlgIj0TpcuXRAXF4fAwEDk5ORgxIgRYkd6Kbm5udqz/Sc3+dWqVUs7tz8oKAhubm6wsrISO6pR4EOxXh7LABHppfbt2+uML54xY4Zeny2XlJRoR/impKTg2LFjyM3Nhbu7Ozw9PTFkyBCsW7cO9evXFzuqUdq2bRvmzZuHmJgYdOrUSew4BodlgIj0VosWLZCUlKS9QrBkyRJIpVKxY0EQBFy5ckXncv+pU6fQsmVLKBQKdO3aFePGjYOzs7Ne5DVmgiBg6dKl2L59OxISEtCqVSuxIxkklgEi0mv16tXD4cOHERYWhvDwcGzYsKHan4x3//597QjfJ2f+5ubm2rv7P/vsM3h4eMDW1rZac5k6jUaD6dOn4+eff8aRI0fQsGFDsSMZLJYBItJ7NWvWRFRUFIYPH47AwEDs2rULtWrVqpLPUqlUZUb4Xrt2TTvCt2/fvli6dCmaNGlSJZ9PL6akpASjRo3CtWvXEB8fjzp16ogdyaCxDBCRQbC0tMSmTZswefJk+Pr6Yv/+/ZWy/n79+nWdy/0ZGRlo2rSp9qx/+PDhaN++PczNzSvhd0GVoaCgAAMGDIC5uTliY2N5A2YlYBkgIoMhlUqxePFizJ8/H15eXoiNjYWjo+ML/3x+fn6ZEb4lJSXau/snT54MDw8PnmXqsbt37yIoKAht27bFV199ZXLPWagq/H+RiAyKRCLBtGnT4ODgAB8fH0RFRcHV1bXM69RqNc6dO6czzOfy5cto3749FAoFevfujTlz5qBFixZ6vUuB/uvatWtQKpXw9vbGZ599xv9ulYhlgIgM0tChQ2Fvbw8/Pz9s27YNTk5O2rP9JyN87e3t4enpCblcjv79+8PV1RWWlpZiR6eXcPbsWSiVSgwfPhyRkZFixzE6LANEZHAePXqEjIwM3LhxA87OzvD19UWNGjXQpUsXKBQK/POf/4RcLoe9vb3YUakSJCcno2/fvpg1axb69OkjdhyjxDJARHpNEIQyI3zPnj0LZ2dnKBQKhIWFYejQoZgyZQr8/f0RFhYmdmSqRD/88AOGDRuGNWvW4OOPPxY7jtFiGSAivXL37t0yI3xtbW21D+4JCAhAp06dytxB3r59eyiVSuTm5mLMmDEipafKtH//fkybNg27du1Cly5dxI5j1FgGiEg0JSUlOHHihM5Zf3Z2Ntzd3aFQKDBw4ECsXr36hYbJODs7IykpCUqlEjk5OZg1axafX2/A1q9fjxUrViAuLg7t27cXO47RYxkgomrxZITv38/6T548CUdHR+0I3zFjxqBdu3YvPcK3SZMmSExMRHBwMEaNGoUVK1ZwPoCBEQQBX375JWJjY5GQkIAWLVqIHckksAwQUZW4f/8+UlNTdS73m5mZaff0f/rpp/Dw8EDNmjUr9XPr1q2LAwcOIDw8HGFhYdiyZQusra0r9TOoaqjVakycOBGpqalISkpCvXr1xI5kMlgGiOiVqVQqnDp1SmeYz59//olOnTpBLpcjJCQEixYtQtOmTatlb7iNjQ12796NUaNGwd/fH3v37uUgIT1XXFyMoUOH4v79+zh8+HCll0R6NpYBIqqwGzdu6AzzycjIQKNGjbRn/UOHDkWHDh1EvURvbm6OdevWYcaMGfDx8UFMTAwaNWokWh4q34MHDxAWFgY7OztERUVxFoQIWAaI6JkKCgrKjPAtKirSHvgnTpyIzp076+WZt5mZGb788kssX74cH3/8MWJjY9G6dWuxY9HfZGdnIyAgAAqFAgsXLuQjn0XCMkBEWhqNpswI34sXL6J9+/aQy+Xo2bMnZs+eDUdHR4MZBSuRSDBu3DjY29uje/fu2LdvH9zd3cWORQCysrKgVCoREBCAqVOnGsyfKWPEMkBkwrKzs3W29aWmpsLOzk67pz8sLAwdO3Y0isu2/fv3h52dHQICArBp0ya88847YkcyaSdOnEBQUBDGjRuHoUOHih3H5LEMEJmIoqIiZGRk6Bz88/LyIJfLIZfLMXLkSMjlcjg4OIgdtcr4+vqiTp06CA8Px5IlS9CrVy+xI5mkX3/9FQMGDMCCBQvg7+8vdhwCywCRURIEAZcuXdI58J85cwZt2rSBQqHABx98gKlTp6J169YmN5ina9euiI2NRXBwMHJzczFo0CCxI5mUxMREREZGYsOGDXjvvffEjkN/YRkgMgL37t0rM8LXxsYGcrkcCoUCfn5+cHd35377v7i5uSEhIQF+fn7IycnBpEmTuF5dDXbt2oXZs2cjKioKnTt3FjsO/Q3LAJGBKSkpwcmTJ3XO+m/fvq0d4TtgwACsXLmS2+ieo2XLljhy5AiUSiWys7OxYMECk7tKUp1WrFiBDRs24PDhw3B2dhY7Dv0PlgEiPSYIAv7880+dbX2ZmZlwdHSEXC7Hm2++icjISLi4uHBL1kto0KAB4uPj0adPHwwdOhRr166FhYWF2LGMiiAImDlzJr777jskJSWhSZMmYkeip2AZINIjDx48KDPCF4B2T//06dPh4eGBWrVqiZzUeNSuXRuxsbEYPHgwgoODsWPHDtja2oodyyioVCpERkbi4sWLSExMRN26dcWOROVgGSASiUqlwunTp3XO+q9cuYKOHTtCoVAgKCgICxYsQLNmzbieXcVq1KiBbdu2Ydy4cejZsyeio6Nhb28vdiyDVlhYiIEDB0Kj0eDAgQOwsbEROxI9A8sAUTW5efOmzjCf9PR0NGzYEHK5HJ6enhgyZIjoI3xNmUwmw4oVK/DFF1/Ay8sLsbGxaNasmdixDFJeXh769OmDZs2aYfXq1fwzbQBYBoiqQGFhIdLS0nQu9xcWFmqH+YwfPx6dO3fmZVM9I5FIMHPmTNjb28Pb2xv79+9Hu3btxI5lUG7evAmlUol33nkHc+fO5U2ZBoJlgOgVaTQanD9/Xufu/gsXLsDFxQVyuRzdu3fH559/jpYtW/Jyv4EYNWoUHBwc0KNHD+zatQuvvfaa2JEMwsWLF+Hv74/w8HCMHTuWf94NCMsAUQXl5OToHPiPHz+OunXras/6+/bti44dO6JGjRpiR6VXEBwcjLp166JPnz5Yt24dPvzwQ7Ej6bW0tDSEhIRg+vTp6N+/v9hxqIJYBoieobi4uMwI33v37qFz585QKBQYPnw4FAoF6tWrJ3ZUqgIfffQR9uzZg9DQUMydOxdBQUFiR9JLP/30EwYPHozly5fD19dX7Dj0ElgGiP4iCAIuX76sc+A/ffo0WrduDYVCgffeew+TJk2Cs7Mz10FNyGuvvYZDhw4hICAAubm5iIiIEDuSXomLi8PEiROxdetWdO3aVew49JJYBshk5eXl6WzrS05ORo0aNbR7+nv16gV3d3duiSK4uLggMTER/v7+yMnJwSeffML1cABbtmzBwoULERMTAzc3N7Hj0CtgGSCTUFpaqjPCNyUlBTdv3kSnTp2gUCgQFhaG5cuXo3HjxmJHJT3VvHlzJCUlISgoCNnZ2Vi6dClkMtP8J1QQBCxatAi7d+9GQkICWrZsKXYkekWm+SeZjJogCLh27ZrOgT8zMxPNmjWDQqFAly5dMGrUKLi4uJjsP+b0chwcHHDo0CH069cP4eHh2Lhxo8ndKKrRaDBlyhT89ttvOHLkCBo0aCB2JKoE/JeQDN7Dhw9x/PhxnUv+Go1GO8xn2rRpcHd3R+3atcWOSkbA1tYWe/fuRUREBJRKJXbv3m0yf7ZKSkoQERGBmzdvIj4+3mR+36aAZYAMilqtxpkzZ3TO+rOysuDq6gq5XI6AgADMmzcPzZs355ouVRlLS0ts2LABU6dOha+vL/bv32/0Z8j5+fno378/rKysEBsba3JXRIwdywDptVu3bunc3Z+eno769etDLpdDoVBg0KBB6NChA580R9VOKpVi4cKFWLhwoXZ8sbGunefm5iIoKAjt27fHsmXLuLxmhPhflPRGYWEh0tPTdc768/PztcN8xowZA7lcDjs7O7GjEgF4PL54ypQpcHBwgI+PD/bt22d0d9VfvXoVSqUSvr6++PTTT3nFzUixDJAoNBoNLly4oD3oHzt2DOfPn0e7du2gUCjg7e2NmTNnolWrVvzHh/Te4MGDYW9vD39/f6Pab3/mzBkEBAQgIiICo0aNEjsOVSGWAaoWubm5ZUb41q5dW3vWHxQUBDc3N1hZWYkdleil9O7dG3Xq1EF4eDi++uordO/eXexIr+TYsWMIDQ3FF198geDgYLHjUBVjGaBKV1xcjMzMTJ2z/rt378LDwwMKhQJDhw6FQqFA/fr1xY5KVKneffddREdHIyQkBHfv3kW/fv3EjvRSvv/+e4wYMQJr1qzBRx99JHYcqgYsA/RKBEFAVlaWzjr/yZMn0apVK3h6euLtt9/G+PHj4ezsDKlUKnZcoirn4eGB+Ph4+Pv7Izc3F2PGjDGopa7o6GjMmDEDu3fv5tMaTQjLAFVIXl4ejh8/rjPC18LCQrunv0ePHnB3d4etra3YUYlE07p1ayQlJUGpVCI7OxtffPGFQTzPYt26dVi1ahXi4uLg4uIidhyqRiwDVC6VSlVmhO/169fh5uYGT09P9O3bF0uXLkWTJk3Ejkqkdxo3boyEhASEhIQgIiICq1atgrm5udixnkoQBMydOxdxcXFITExEs2bNxI5E1YxlgAA8/sfg+vXrOgf+jIwMNG3aFHK5HK+99hoiIiLQvn177jEmekF169bFgQMHMHDgQISGhmLr1q2wtrYWO5YOlUqFCRMmIDMzE0lJSbC3txc7EomA/6qbqPz8fKSmpuoc/FUqlXaYz5QpU+Dh4cFxo0SvyNraGjt37kRkZCT8/Pywd+9e1K1bV+xYAICioiIMGTIEBQUFOHToEJf3TBjLgAlQq9U4e/aszta+rKwsdOjQAXK5HH5+fpg7dy5atGhhUDc6ERkKc3NzrFmzBjNnzoSPjw9iYmJEf0Lm/fv30bdvXzRo0ACbNm2CpaWlqHlIXCwDRuj27ds62/rS0tJQr1497Z7+AQMGwNXVlX/5iaqRmZkZ5syZg/r16+Pjjz9GbGws2rRpI0qWO3fuQKlUokuXLpg/fz53+hDLgKF79OiRdoTvk4N/fn4+5HI55HI5IiMjIZfLuQ5IpCdGjx4NOzs7+Pr6Ys+ePejcuXO1fn5WVhb8/PwQEhKCyZMn82ogAWAZMCgajQYXL17U2dZ39uxZtG3bFgqFAh999BGmT58OJycng9jGRGSqwsLCYGdnh8DAQGzcuBHvvfdetXxuZmYmgoKCMHHiRAwePLhaPpMMA8uAHrt7967ODX4pKSmwtbWFp6en9nG9nTp14ghfIgPk4+OD2rVrY8CAAVi0aBH8/Pyq9PN++eUXDBgwAIsXL0bv3r2r9LPI8LAM6ImSkhKdEb7JycnIzs6Gu7s7PD09MWjQIKxZs8bon5lOZEreeustHDhwAEFBQcjNzcWQIUOq5HPi4+MxZswYbNy4Ee+++26VfAYZNpYBEQiCgCtXrpQZ4evo6AiFQoGuXbti7NixaNu2LW/sITJyHTt2RGJiIvz8/JCdnY2pU6dW6jr+jh07MGfOHERHR8PDw6PS3peMi4GXARVkskOQyb6DmdlNSCQqCIIMGk0jqFQfQqXqCX34Ld6/fx+pqak4duyY9uAvk8m0I3xnzpwJDw8P7vElMlGOjo44cuQIlEolcnNzsWDBglc+ERAEAStWrMCmTZsQHx+P1q1bV1JaMkaSvLw8QewQFaeGpeU8mJvHw8zsAiSS0jKvEAQLaDROKC3tjuLiaQCq5wxbpVLh1KlTOmf9165dg5ubm/bgL5fL0aRJE97FS0Q67t+/j9DQUNSrVw/r1q176e2/Go0GM2fOxI8//oj9+/eLPtPAWIWHh6NXr15Vfr9HdRD/tLmCJJJrsLYeCKk0FRKJ6hmvK4FUehpmZuchk/2EwsItEISmlZ7n7yN8k5OTkZGRgSZNmmgn+Q0fPhzt27fX25nkRKQ/ateujf3792PIkCEIDg7Gjh07ULNmzQq9R2lpKSIjI5GVlYWEhATUqVOnasKSUTGoMiCRXIONjRJS6dkK/IwKMtkx2NgoUVAQ80qFoKCgAKmpqdr9/CkpKSgpKdEO85k0aRI6d+7Mv3xE9NJq1KiBbdu2Yfz48ejZsyeio6Ph4ODwQj9bWFiIgQMHAgBiY2P17jkIpL8MqAyoYW0dXqEi8HdS6VlYW4ejoOAIXmTJQKPRaEf4Pjn4X7p0STvCt1evXvjiiy/g6OjIy/1EVKmkUimWL1+OuXPnwsvLC7GxsWjevPkzf+bevXsICQlBy5YtsXLlSl6NpAoxmDJgaTkPUmnaU7939CgweTJw8iQglQIuLsDy5YCnp+7rpNI0WFrOR3HxjDLvcefOHZ1tfampqbCzs9Ou8YeFhaFjx44c4UtE1UIikeCTTz6Bvb09vL29sX//fri4uDz1tTdu3IBSqcQHH3yA2bNnc+gYVZiBlAEVzM3jn3qPwIMHgK8vsHYtEBQElJQAP/8MPO2YLZGoYG7+De7fH4P09JM6B/+8vDztOv/IkSMhl8tf+NIcEVFViYiIgIODA3r27ImdO3fi9ddf1/n++fPn4e/vj6FDh2L06NEipSRDZxBlQCY7BDOzC0/93rlzj3/t0+fxr1ZWwEcflf9eKtVpTJjQEpmZLvD09ES3bt0wdepUtG7dmm2aiPRSYGAg6tati9DQUKxZswYf/fWPXGpqKkJCQvDpp58iLCxM5JRkyAykDHz31O2DAODs/HhpYMAAICQE6NIFeNajwi0tga+/9kNp6ddVlJaIqPJ169YNe/fuRd++fTF79mw0bNgQQ4YMwYoVK+Dj4yN2PDJwBlEGzMxulvu9WrUe3zOwYAEwdChw6xbg4wNs2ACUN7nX3DwbpU/vFkREekuhUODw4cPw9vZGcXExoqKi8NZbb4kdi4yAQVwXf9Y8AeDxDYNbtwLXrgEnTgA3bgBjxz7r/dgEiMgwHT16FDKZDA4ODvjuu+8gCAY4N470jkGUAUF48QsY7doB4eGPS0H578ctN0RkWARBwPz587Fq1Sp8++23+PHHH/Hzzz8jMjISKtWzT5iInscgyoBG06jc7505AyxZ8viqAABcvQrs2fP43oGXeT8iIn2jVqsxadIkxMfH48iRI3B0dIS9vT3i4uJw48YN9OvXD48ePRI7JhkwgygDKtWHEASLp36vZk3g99+B118HbGwelwBX18cF4WkEwQIqVbcqTEtEVHmKi4sxZMgQnDlzBt988w3q16+v/Z6trS327t0La2tr+Pv7Iy8vT7ygZNAMpAz0hEbj9NTvNWkCREUB168DBQWPf12//vGNhU+j0Tj99TRDIiL99vDhQwQHB6O0tBT79+9H7dq1y7zGwsICGzZsgKurK7p3745bt26JkJQMnUGUAUCG0tLuFbp34GkEQYbSUl8YyCYKIjJhOTk56NWrF1q0aIFt27ahRo0a5b7WzMwMCxcuRO/eveHl5YXLly9XY1IyBgZSBoDi4mlQqz1e6T1KSzuhuHhqJSUiIqoaf/75J7y9vfH+++9j+fLlkEqf/zwViUSCSZMmYcyYMfD29kZ6eno1JCVjYTBlAJCisHAL1Oq2L/XTV6/WRHAwcP9+fiXnIiKqPKdPn4aPjw8GDx6MTz75pMIPQhs4cCAWLFgApVKJn3/+uYpSkrExoDIACEJTFBTEQKVSvPCSgSDIoFIpYGv7C+rV64zu3bvj9u3bVZyUiKjifv/9d/Tq1QufffYZRowY8dLv06tXL2zatAkDBw7E4cOHKzEhGSuDKgPAk0JwBMXF46BWu5S7y0AQLKBWu6C4eBwKCo7AzKw5Fi5ciB49enBNjYj0zrfffqt99kBgYOArv98777yD/fv3Y9KkSdi+fXslJCRjZqB30klRXDwDxcVTIJMdgkz2PczMbkIiKYUgmEOjaQSVqttfuwb++1uUSCSYMmUK6tWrBx8fH+zbtw9ubm7i/TaIiADs3bsXM2fOxN69e6FQKCrtfd3d3REfHw9/f3/k5ORg3LhxFV52INNgoGXgCRlUKn+oVP4V+qlBgwbB3t4e/v7+2Lp1K7p27VpF+YiInm316tVYu3YtDh8+jLZtX+6eqGdxcnJCUlISlEolsrOzMXfuXD6hlcow2T8RT9bUwsPDER8fL3YcIjIxgiBg1qxZ2LZtGxITE6ukCDzRqFEjJCQkIC0tDSNGjEBJSUmVfRYZJpMtA8B/19TGjx/PNTUiqjYqlQqRkZH4v//7PyQmJqJZs2ZV/pl16tRBbGwsHjx4gL59+6KgoKDKP5MMh0mXAeC/a2qLFy/GsmXL+AQwIqpSjx49Qv/+/XHjxg3ExcXB3t6+2j7bysoKO3fuRP369dGrVy/cvXu32j6b9JvJlwEAaN26NY4cOYLo6GjMmDEDGo1G7EhEZITu378PpVIJKysr7N27F7a2ttWeQSaTYfXq1XjzzTfh7e2Na0+e8kYmjWXgL0/W1I4fP44RI0agtLRU7EhEZERu376N7t27o0OHDtiwYQMsLJ6+Lbo6SCQSzJ49G6GhofDy8sK5c+dEy0L6gWXgb56sqd2/f59rakRUaS5fvoyPP/4YvXr1wsKFC/Xmbv7Ro0dj2rRp8PX1RUpKithxSET68SdSj1hbW2Pnzp2wt7eHn58f7t27J3YkIjJgGRkZ8PHxwZgxYzBp0iS92+cfGhqKr776CkFBQfjxxx/FjkMiYRl4CnNzc6xZswavvfYavL29cf36dbEjEZEBOnr0KJRKJebPn4+BAweKHadc3t7e2LlzJ4YNG4aYmBix45AIDHzoUNUxMzPDnDlzUL9+fXh5eSE2NhZt2rQROxYRGYhvvvkGY8eOxebNm/H222+LHee53njjDRw8eBBBQUHIzc3FsGHDxI5E1Yhl4DlGjx4NOzs7+Pr6Ys+ePejcubPYkYhIz23fvh1ffvkl9u/fD3d3d7HjvDBXV1ckJCRoxxdPmzZN75Y1qGpwmeAFhIWFYdmyZQgKCsK//vUvseMQkZ4SBAFLly7FkiVLEB8fb1BF4AlHR0ccOXIER44cwYQJE6BWq8WORNWAZeAF+fj4YPv27Rg2bBgOHDggdhwi0jMajQbTp0/H/v37kZSUBCcnJ7EjvbR69erh8OHDuHDhAgYNGoTi4mKxI1EVYxmogDfffBMHDhzAjBkzsHHjRrHjEJGeKC0txYgRI5CWloaEhAQ0atRI7EivrFatWoiOjgYABAYG4uHDhyInoqrEMlBBT9bU1qxZg3nz5nF8MZGJKygoQN++ffHgwQPExsaiTp06YkeqNJaWlti8eTOcnJzQo0cPZGdnix2JqgjLwEtwdHREUlISEhMTMWnSJK6pEZmoe/fuoXfv3qhXrx527twJKysrsSNVOqlUiqVLl+Kjjz6Cl5cXsrKyxI5EVYBl4CXVr18f33zzDc6ePYvBgwdzTY3IxFy/fh3e3t544403sHr1ashkxrs5SyKRYPr06Rg+fDh8fHxw8uRJsSNRJWMZeAVP1tTUajWCgoK4pkZkIs6dOwcvLy/07dsXs2fPNpntd8OGDcMXX3yB3r1747fffhM7DlUiloFXVKNGDWzduhUtW7ZEjx49kJOTI3YkIqpCKSkp8PX1xdSpUzF69Gix41Q7pVKJ9evXIywsDImJiWLHoUrCMlAJpFIpli1bhm7dusHLywtXrlwROxIRVYF//etfCA4OxldffYXQ0FCx44jm/fffx759+zBmzBjs3r1b7DhUCYx3kauaSSQSfPLJJ3BwcICPjw+io6PRvn17sWMRUSWJjY3FlClTsGPHDrzxxhtixxGdQqHA4cOHoVQqkZubi8jISLEj0StgGahkI0aMgL29PXr16oUdO3agS5cuYkciole0YcMGLFu2DAcPHkSHDh3EjqM32rZti6SkJCiVSmRnZ2PWrFkmc/+EseEyQRUIDAzE2rVrERoaiiNHjogdh4hekiAI+PLLL7Fu3TokJiayCDxF06ZNkZiYiF9//RWjRo2CSqUSOxK9BJaBKtKtWzfs27cPkZGR2LNnj9hxiKiC1Go1JkyYgCNHjiApKQktWrQQO5LesrOzQ1xcHG7fvo2wsDA8evRI7EhUQSwDVejJmtrcuXOxatUqseMQ0QsqLi7GoEGDcOHCBRw+fBj16tUTO5Les7GxwZ49e1CzZk34+/sjLy9P7EhUASwDVezJmtr27dvx+eefc3wxkZ57+PAhAgMDAQDR0dGoVauWyIkMh4WFBdavX49OnTrBx8cHt27dEjsSvSCWgWrQtGlTJCUl4ejRo4iMjOSaGpGeys7ORo8ePeDk5ITNmzfD0tJS7EgGx8zMDPPmzUNAQAA+/vhjXLx4UexI9AJYBqqJnZ0dDh48iJs3b6Jfv35cUyPSM1euXIGXlxc++ugjLF26FFKpVOxIBksikWD8+PGYMGECunfvjrS0NLEj0XOwDFQjW1tb7NmzBzY2NlxTI9IjJ0+ehI+PD4YPH47p06dze1wl6d+/PxYtWoSAgAD89NNPYsehZ2AZqGYWFhb4+uuv0bFjR3Tv3p1rakQi+89//oPevXtj9uzZGDZsmNhxjE6PHj2wZcsWDB48GHFxcWLHoXKwDIjAzMwMCxYsgJ+fH7y8vHD58mWxIxGZpKSkJISGhmL9+vVQKpVixzFa//jHPxATE4MpU6Zgy5YtYsehp+AEQpFIJBJMnDgRDg4O8Pb2xr59+9CpUyexYxGZjD179uCzzz7Dvn37oFAoxI5j9Dp16oSEhAT4+/sjJycHEydO5HKMHmEZEFl4eDjq1q0LpVKJLVu24B//+IfYkYiM3sqVK7F+/XocPnwYbdu2FTuOyWjVqpXO+OL58+fDzIwXqPUB/yvogV69emHz5s0YOHAgDh06JHYcIqMlCAI+++wz7Ny5E0lJSSwCImjYsCHi4+ORmZmJYcOGoaSkROxIBJYBvfH2229j//79mDx5MrZt2yZ2HCKjo1Kp8M9//hO//PILEhMT0bRpU7Ejmaw6deogNjYWBQUFCAkJQX5+vtiRTB7LgB5xd3dHfHw8li5diiVLlnBaIVElefToEfr164dbt24hLi4OdnZ2YkcyeVZWVtixYwcaNWqEXr16ITc3V+xIJo1lQM84OTkhKSkJMTExmDZtGjQajdiRiAxaXl4e/P39deZ8kH6QyWRYtWoV/vGPf8Db2xtXr14VO5LJYhnQQ40aNUJCQgLS09MxfPhwrqkRvaRbt26he/fu6NSpE9avXw8LCwuxI9H/kEgk+Pzzz9GvXz94e3vj7NmzYkcySSwDeurJmtrDhw/Rt29fFBQUiB2JyKBcvHgRH3/8MZRKJebNm8e71vVcZGQkZsyYgR49eiA5OVnsOCaHfzv0mJWVFXbu3In69eujV69euHv3rtiRiAxCWloaunfvjgkTJmD8+PHcz24g+vTpg5UrVyIkJAQ//PCD2HFMCsuAnpPJZFi9ejXeeusteHt749q1a2JHItJr//d//4eAgAAsWrQI/fv3FzsOVdDHH3+MXbt2YcSIEdi/f7/YcUwGhw4ZAIlEglmzZsHBwQFeXl6IjY2Fs7Oz2LGI9M6hQ4cwfvx4DvAycK+//jri4uIQGBiInJwcjBgxQuxIRo9lwIBERkbC3t4evr6+2LNnD+RyudiRiPTG1q1bMX/+fMTExHC0txFo3749EhMTteOLZ8yYweWeKsRlAgPTt29frFixAkFBQfjxxx/FjkMkOkEQsHjxYixfvhwJCQksAkakefPmSEpKwg8//ICxY8dCrVaLHclosQwYIC8vL+zcuRPDhw9HTEyM2HGIRKPRaDB16lQcOHAASUlJaNWqldiRqJI5ODjg0KFDyMrKQnh4OIqKisSOZJRYBgzUG2+8gYMHD+LTTz/F+vXrxY5DVO1KSkowbNgwZGRkID4+Hg0bNhQ7ElWRmjVrIioqClKpFAEBAXjw4IHYkYwOy4AB69ChAxITE/H1119j7ty5HF9MJqOgoAB9+vRBQUEBYmNjUadOHbEjURWztLTEpk2b0LZtW/j6+uLOnTtiRzIqLAMGrkWLFkhKSsK3336L8ePHc02NjN7du3fRq1cvNGzYEDt27ICVlZXYkaiaSKVSLF68GN7e3vDy8kJWVpbYkYwGy4ARqFevHg4fPoyLFy9i4MCBKC4uFjsSUZW4du0avL290bVrV6xatQoyGTdEmRqJRIJp06YhIiIC3t7eOHHihNiRjALLgJGoVasWoqOjIZFIEBgYyDU1Mjpnz56Fl5cXwsLC8Pnnn3ObmYkbOnQo5s6di969e+PXX38VO47BYxkwIpaWlti8eTNat26NHj16IDs7W+xIRJUiOTkZPXr0wIwZMxAZGSl2HNIT/v7+2LBhA/r164eEhASx4xg0lgEjI5VKsWTJEnh5eXFNjYzCDz/8gODgYKxcuRJ9+vQROw7pmffeew/R0dEYO3Ysdu7cKXYcg8UFNyP0ZE3N3t4ePj4+iI6ORocOHcSORVRh+/fvx7Rp07B79268/vrrYschPdW5c2fEx8fD398fubm5GDNmjNiRDA7LgBEbNmwY7O3t0bt3b2zfvh1vvPGG2JGIXti6deuwcuVKxMXFoX379mLHIT3Xpk0bHDlyBEqlEjk5OZg1axYfW10B/H/KyCmVSqxfvx79+vVDYmKi2HGInksQBMyZMwcbN25EYmIiiwC9sMaNGyMhIQG///47Ro0ahdLSUrEjGQyWARPw/vvvY9++fRgzZgx2794tdhyicqnVaowbNw4//PADkpKS0Lx5c7EjkYGpW7cuDh48iNzcXISFhaGwsFDsSAaBZcBEyOVyfPPNN/jyyy+xcuVKseMQlVFUVITw8HBcvnwZhw4dgoODg9iRyEBZW1tj165dqF27Nvz8/JCXlyd2JL3HMmBCnJ2dceTIEezcuRMzZ87k+GLSGw8ePEBgYCCkUimioqJQs2ZNsSORgTM3N8e6desgl8vh4+ODGzduiB1Jr7EMmJgmTZogMTERv/32G0aNGgWVSiV2JDJxd+7cga+vL5ydnbFp0yZYWlqKHYmMhJmZGebOnYugoCB4eXnhwoULYkfSWywDJsjOzg4HDx7EnTt3uKZGosrKyoKXlxe8vb2xePFiSKVSsSORkZFIJBg7diwmTpyI7t27IzU1VexIeollwETZ2Nhgz549qFWrFpRKJdfUqNqdOHECPj4+iIiIwLRp0zhemKpU//79sWTJEgQGBuKnn34SO47eYRkwYU/W1Dp16gQfHx/cvHlT7EhkIn799Vf4+flhzpw5GDp0qNhxyET4+vpi69atGDx4MA4ePCh2HL3CMmDizMzMMG/ePAQEBMDLywsXL14UOxIZucTERPTv3x9ff/01/P39xY5DJqZr166IjY3FtGnTsGnTJrHj6A1OICRIJBKMHz8eDg4O6N69O/bu3Qt3d3exY5ER2rVrF2bPno2oqCh07txZ7Dhkotzc3JCQkAA/Pz/k5ORg8uTJJr9MxTJAWv3794ednR0CAgKwadMmvPPOO2JHIiOyYsUKbNiwAYcPH4azs7PYccjEtWzZUmd88YIFC0x6fLHp/s7pqf6+phYXFyd2HDICGo0Gn376KXbv3o2kpCQWAdIbDRo0QHx8PE6ePIkhQ4agpKRE7EiiYRmgMp6sqU2dOhVbtmwROw4ZsNLSUowaNQq///47EhMT0aRJE7EjEemoXbs2YmNjUVxcjODgYOTn54sdSRQsA/RUT9bUvvrqKyxatIjTCqnCCgsLERYWhpycHBw4cAB169YVOxLRU9WoUQPbtm1Ds2bN0LNnT+Tm5oodqdpJ8vLy+K88levWrVsICAjAm2++ifnz55v0mhq9uLy8PISEhKB58+ZYvXo1zM3NxY5E9FxPnph56NAhxMbGolmzZk95lQoy2SHIZN/h9Onv0aCBHRwcGkGjaQSV6kOoVD1hiLfjsQzQc+Xl5aFv375o3Lgx1qxZAwsLC7EjkR67efMmlEol3n33XcyZM4cFkgzOmjVrsGbNGkRHR8PFxeWvr6phaTkP5ubxMDO7AImk7OORBcECGo0TSku7o7h4GgDDmajJMkAv5NGjRxg8eDCKioqwfft22Nraih2J9NCFCxfg7++PQYMGYcyYMSa/XYsMV1RUFGbMmIFdu3bh9dcbw9p6IKTSVEgkz3+eiyDIoFZ7oLBwCwShaTWkfXUsA/TCVCoVxo4di9OnTyMqKgr29vZiRyI9kpaWhpCQEEyfPh39+/cXOw7RK/vuu+8wa9ZQHD1qg9q1r1f459XqtigoiDGIQsAyQBUiCAJmz56N+Ph4xMTElLOmRqbmp59+wuDBg7F8+XL4+vqKHYeokqghCG+hTp0zL/0OKpUCBQVHoO9LBlzMowqRSCT47LPP0L9/f3h7e+PMmZf/S0LGIS4uDoMHD8bWrVtZBMioWFrOQ+3auo89zs8HHB2B3bv/+7WHD4HmzYH9+8u+h1SaBkvL+VUbtBLwygC9tL1792LmzJnYtWsXPD09xY5DIti8eTMWLVqEffv2wc3NTew4RJVIBVvbf0AqPV3mO99+C4SGAqdOAfXqARERwO3bQGzs099JrXZBfv7P0OddBiwD9Eq+/fZbjBw5EuvWrUO3bt3EjkPVRBAELFq0CLt378aBAwfQsmVLsSMRVSqZLBbW1sOfumsAAMLDgeJiYPhwQKkETpwAGjV6+nsJggUKC9dBpdLfB3NxmYBeyUcffYTdu3cjIiIC0dHRYsehaqDRaDB58mQcOnQIR44cYREgoySTfVduEQCAZcuAf/8bCAgAFi8uvwgAgERSApns+8oPWYn095oFGYzXXnsNhw4dQkBAAHJzczFixAixI1EVKSkpQUREBG7evIn4+HjUrl1b7EhEVcLM7OYzv1+3LtChA/Drr8CLPIn7ee8nNl4ZoErh4uKCxMREbNy4EXPmzOH4YiOUn5+P4OBgFBUVITY2lkWAjML58+exdOlS/PHHHygt/e+VgOfNE9i5E8jKArp1A6ZMef7nPOsqgz7glQGqNM2bN0dSUhICAwORnZ2NpUuXQirV7+009GJyc3MRGBiIDh06YNmyZZDJ+E8HGYezZ8/iyy+/hJWVFUpKSuDh4YF33nkHEycWwsHh6T9z5w4wbhwQFQW0a/f4CkHfvsDbb5f/OYKg3yO5eWWAKpWDgwMOHTqEK1euIDw8HEVFRWJHold09epVeHl54d1338WKFStYBMiouLm5QSKR4OHDhyguLsZ//vMfLFiwAL/+erncn/nnP4HevYH33nt8r8DChcDQoY9vKCyPRvOMmwr0AMsAVbqaNWti3759kMlkCAgIwIMHD8SORC/pzJkz8Pb2Rnh4OGbOnMnxwmTQBEHApUuXEBUVhcmTJ+ODDz5Aly5doNFotK+xtLREREQE3ntvMQSh7HNYDh4Ejh4FFi3679eGDAGaNgVmzy7vcy2gUun3bituLaQqo1arMWXKFPzxxx/Yv38/6tevL3YkqoA//vgDYWFh+OKLLxAcHCx2HKIKy8vLQ0pKCpKTk7W/WllZQaFQQKFQQC6Xw93dHf3798f3338PKysrrFq1CkqlEs+aM1BRhjBnQH+TkcGTSqVYtGgRFixYAC8vL8TGxsLR0VHsWPQCvvvuO0RERGDt2rX48MMPxY5D9FylpaU4efIkkpOTtQf/mzdvolOnTlAoFOjXrx+++uorNHrKHsAPP/wQGRkZiI2Nhaur619flaG0tDvMzM6/0MOJyiMIMpSW+kLfD7e8MkDVYuPGjVi6dCmioqL+9peN9FFUVBQ++eQT7Ny5E6+99prYcYjKEAQB165dQ0pKCo4dO4aUlBRkZmaiefPmkMvl8PT0hFwuR7t27V7oHhe1Wg21Wv2Ux7OrYWPjBZns2EtnVak8UVCQBH1/NgHLAFWbAwcOYNKkSdi+fTvefPNNsePQU6xduxarV6/+n+e4E4nr4cOHSE1N1TnrFwQBcrlce8nfw8MDtWrVqvTPlkiuwcZGCan0bIV/lk8tJCrHv//9bwwZMgQrVqyAj4+P2HHoL4IgYM6cOTh06BBiY2P5NEoSjVqtxpkzZ3TO+rOystCxY0edg3+zZs2q7YZWieQarK3DIZWmvdCSgSDIoFa7o7Bwq0EUAYBlgERw/Phx9OnTB59++inCwsLEjmPyVCoVxo8fjxMnTiA6Ohr29vZiRyITcuvWLe3Z/rFjx5Ceno4GDRroHPg7dOjwlEv41U0NS8v5MDf/BmZmFyGRlJR5hSBYQKNxQmmpL4qLp0Lflwb+jmWARHH+/HkolUoMHjwYo0eP5pY1kRQVFWHIkCEoKCjAjh07YGtrK3YkMmKFhYVIT0/Xubu/oKBAe2f/k1/r1q0rdtRnUEEmOwSZ7HuYmd2ERFIKQTCHRtMIKlU3qFQ9oe83Cz4NywCJ5saNG1Aqlfjggw8we/ZsmJlx7EV1un//Pvr27YsGDRpg7dq1sLS0FDsSGRGNRoMLFy7oHPjPnTuHdu3aac/4FQoFWrVqxZMBPcAyQKK6d+8eQkJC0LJlS6xcuRLm5vo9stNY3LlzB0qlEl26dMH8+fM5NppeWW5urs4NfikpKahdu7b2zn6FQgE3NzfUqFFD7Kj0FCwDJLrCwkIMHDgQALBlyxZYW1uLnMi4ZWVlwc/PDyEhIZg8eTLPyqjCiouLkZmZqXPWn5ubCw8PD+3BXy6Xc9CYAWEZIL1QWlqKf/7zn8jKysK+fftQp04dsSMZpYyMDAQHB2PixIkYPHiw2HHIAAiCgCtXruDYsWPag/+pU6fQqlUrncv9zs7OXOozYCwDpDc0Gg0+/fRT/Otf/8L+/fvRuHFjsSMZlaNHjyI8PByLFy9G7969xY5DeiovLw+pqanabX3JycmwtLTUubvf3d0dNjY2YkelSsQyQHpFEASsWLECmzZtQmxsLFq3bi12JKMQHx+PMWPGYOPGjXj33XfFjkN6QqVS4eTJkzp7+m/cuAE3NzedO/ybNGkidlSqYiwDpJd27NiBOXPmYO/evfDw8BA7jkHj/5cEPC7a169f157tJycnIyMjA82aNdPZ1te+fXs+ptoEsQyQ3npyNrtp0ya88847YscxOIIg4KuvvsLmzZt5lcUE5efnIzU1Vefgr1ary4zwrV27tthRSQ+wDJBe++WXXzBgwACuc1fQk/svfvzxR8TExPD+CyOnVqtx9uxZnbv7L1++DFdXV52z/hYtWnD3CD0VywDpvczMTAQFBfEO+Bf0950Ze/fu1fNpbvQybt++rXPgT01NRb169XTu7nd1ddWDEb5kKFgGyCBwb/yLKSwsRHh4OCQSCWc2GIlHjx6VGeH78OFDncv9crkcdnZ2YkclA8YyQAbj9u3bCAgIQJcuXbBgwQLuaf4fnOZo+ARBwMWLF3W29Z07dw7Ozs46Z/1OTk4sxFSpWAbIoNy/fx+hoaGoX78+5+n/DZ/zYJju3r2rs60vJSUFNWvW1J7te3p6ws3NDVZWVmJHJSPHMkAG58mT9vLz87Fjxw7UrFlT7EiiOn/+PPz9/TF06FCMHj1a7DhUjpKSEpw4cUJ7Z39ycjJycnLg7u6uc7m/QYMGYkclE8QyQAZJrVZj/PjxyMzMRFRUFBwcHMSOJIrU1FSEhITg008/RVhYmNhx6C9PRvj+fVvfyZMn0bJlS52zfmdnZz4kivQCywAZLEEQMHfuXMTFxSEmJgbNmzcXO1K1+ve//40hQ4ZgxYoV8PHxETuOSbt//z5SU1ORnJysveQvk8l0zvg9PDxga2srdlSip2IZIIO3du1arF69GtHR0XBxcRE7TrU4cOAAJk2ahG3btuGtt94SO45JUalUOHXqlPasPyUlBVevXtWO8H1y8G/SpAlv8iODwTJARiEqKgqffPIJdu7ciddee03sOFVq48aNWLJkCaKiotCxY0ex4xi969ev62zry8jIQOPGjXUO/O3bt+fuDTJoLANkNL7//nuMGDECa9euxYcffih2nEonCALmz5+PqKgoHDhwAI6OjmJHMjoFBQU6I3xTUlJQXFyss63Pw8ODj9gmo8MyQEbl2LFjCA0NxRdffIHg4GCx41QatVqNKVOm4Pfff0dMTAzq168vdiSDp9FoyozwvXTpEtq3b69z8OcIXzIFLANkdM6cOYOAgACMHDkSI0eOFDvOKysuLsaIESOQnZ2NXbt28cEyLyk7O1tnW19qairs7e117u53dXXl7AoySSwDZJSuXr0KpVIJX19ffPrppwZ7Zvfw4UP069cPtra22LhxI2rUqCF2JINQVFSEjIwMnYP//fv3IZfLdR7cY6pbUon+F8sAGa3c3FwEBgaiQ4cOWLZsmcE9oz0nJweBgYFwc3PD0qVLuR+9HIIg4NKlSzoH/rNnz6JNmzY6Z/1OTk6czEhUDpYBMmr5+fno168frK2tsWnTJoM5s/7zzz/h7++P3r17Y8aMGQZ7ZaMq3Lt3T2eYT0pKCmxsbLQHfoVCgU6dOvEhTUQVwDJARq+kpAQjRozA7du3sXv3br1fcz99+jQCAgIQGRmJESNGiB1HVCUlJTh58qTOWf+dO3e0I3yfHPwbNmwodlQig8YyQCZBo9FgypQp+O233xATE6O3899///13hIWF4csvv0RgYKDYcaqVIAj4888/dbb1ZWZmwtHRUWdPf7t27bhkQlTJWAbIZAiCgMWLF2P37t2IjY1Fy5YtxY6k49tvv8XIkSOxbt06dOvWTew4Ve7BgwfaEb5PDv4SiaTMCF9TfxAVUXVgGSCTs2XLFixcuBD79u2Dm5ub2HEAAHv37sXMmTOxe/duKBQKseNUOpVKhdOnT+uc9f/555/o2LGjzsG/adOmvD+CSAQsA2SS4uLiMGHCBGzduhVdu3YVNcvq1auxdu1axMTEoG3btqJmqSw3b97UPrAnOTkZ6enpaNSokfbOfrlcjg4dOnCEL5GeYBkgk/XTTz9h8ODBWL58OXx9fav98wVBwKxZs5CQkICYmBg0a9as2jNUhsLCQqSlpelc7n/06JHOtr7OnTtzhC+RHmMZIJOWlpaGkJAQTJ8+Hf3796+2z1WpVBg7dixOnz6NqKgo2NvbV9tnvwqNRoPz58/r3N1/8eJFuLi4aO/s9/T0hKOjIy/3ExkQlgEyeRcvXoSfnx8GDhyIsWPHVvlB7NGjRxg0aBCKi4uxfft2vX7GfU5Ojs6B//jx47Czs9PZ1texY0eDmd9ARE/HMkCEx2vcSqUS7777LubMmQMAWLhwIcLCwtC0adNK+5y8vDz06dMHjRs3xtq1a2FhYVFp7/2qiouLtSN8U1JScOzYMdy7d09nhK9CoeAIXyIjxDJA9Je8vDyEhISgWbNmsLGxwbZt2zBy5EjMnTu3Ut7/1q1bUCqVePPNN7FgwQJRR+MKgoDLly/rrPOfPn0arVu31jnrb9OmDUf4EpkAlgGivyksLMTbb7+NS5cuQaPRoFatWrh06dL/PNdABZnsEGSy72BmdhMSiQqCIING0wgq1YdQqXoC0H0OwuXLl+Hn54fQ0FBMnDix2tfT8/LydLb1JScnw8rKSmdbn7u7O0f4Epkow3pyC1EV27dvH65fvw6NRgMAUKvV+P777+Hl5QVADUvLeTA3j4eZ2QVIJKVlft7CIgYazSKUlnZHcfE0AFKkp6cjODgYU6ZMwcCBA6v891BaWqozwjclJQU3b95Ep06d4OnpiX79+uGrr75Co0aNqjwLERkGXhkg+pvXX38dV65cgUajQUlJCQDgjTfeQFLSBlhbD4RUmgqJRPXc9xEEGdRqD/z73xHo02cylixZgl69elV6XkEQcO3aNZ0Df2ZmJpo3b66zp79du3YG99RGIqo+LANEfyMIAk6dOoUjR47g4MGDyMzMROPGAi5edIKl5cUKv9/Zs1JcubIer78eUCn5Hj58WGaEryAIOjf4eXh4oFatWpXyeURkGlgGiJ7hwYN7kMneRaNGV176PVQqBQoKjgCo2MN11Go1zpw5o3Pgv3LlClxdXXXO+ps1a8Y9/UT0SlgGiJ7B0nIOLC2Xv9DSQHkEQYbi4nEoLp7xzNfdunVLZ09/eno6GjRooDPMhyN8iagqsAwQlUsFW9t/QCo9/dTvbt0KLFkCXLwI1KoF+PsD8+YBtWuXfa1a7YL8/J/x5J7dwsJCpKen65z1FxQU6Gzrk8vlqFu3btX99oiI/sIyQFQOmSwW1tbDn7prYMkSYOFCYNs24IMPgOvXgZEjgdxc4OhR4H9P3jUac3z/fX9ERQHHjh3DhQsX0K5dO521/latWvFyPxGJgmWAqBw1akTA0nJPma8/eAA0bgxs3gwEBf336/n5QKtWwKJFwIABZd/vX/9qgf/8ZzgUCgXc3Nw4wpeI9AbLAFE5rK17w9z832W+npQE+PoCRUXA/+7WGzAAUKmAXbvKvl9p6XsoLDxQNWGJiF4B54wSlaO8mwZzcgAHh7JFAAAaNQKys8t7v7LLDURE+oBlgKgcgvD0IT0ODo8LgeopXeHmTaBevfLej7sAiEg/sQwQlUOjefq43jfeACwtgdhY3a8XFACJicA771Ts/YiIxMYyQFQOlepDCELZRwzXrg189hkQGfn4/oHSUiArCwgMfHzVIDS07HsJggVUqm5VH5qI6CXwBkKicj17zsCmTcCyZcCFC0Bx8eMrArt3P95p8L/+d84AEZE+4ZUBonLJUFravdx7BwYPBk6ceLyrYNOmx8OHnnYfgSDIUFrqCxYBItJXvDJA9Exq2Nh4QSY79txX7tjxeNhQSIju11UqTxQUJKGizyYgIqouLANEzyGRXIONjRJS6dkK/6xa3RYFBTEQhKZVkIyIqHJwmYDoOQShKQoKYqBSKcpdMij7M7K/nlbIIkBE+o9XBohemBqWlvNhbv4NzMwuQiIpKfMKQbCARuOE0lJfFBdPBZcGiMgQsAwQVZgKMtkhyGTfw8zsJiSSUgiCOTSaRlCpukGl6gneLEhEhoRlgIiIyMTxngEiIiITxzJARERk4lgGiIiITBzLABERkYljGSAiIjJxLANEREQmjmWAiIjIxLEMEBERmTiWASIiIhPHMkBERGTiWAaIiIhMHMsAERGRiWMZICIiMnEsA0RERCaOZYCIiMjEsQwQERGZOJYBIiIiE8cyQEREZOJYBoiIiEwcywAREZGJYxkgIiIycSwDREREJo5lgIiIyMSxDBAREZk4lgEiIiITxzJARERk4v4fWx2yNw5Q1eoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.view_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "results_df = pd.DataFrame(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sample_size</th>\n",
       "      <th>noise_coef</th>\n",
       "      <th>estimate_dml</th>\n",
       "      <th>estimate_lr</th>\n",
       "      <th>error_dml</th>\n",
       "      <th>error_lr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>30</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.438035</td>\n",
       "      <td>0.730024</td>\n",
       "      <td>-0.261965</td>\n",
       "      <td>0.030024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>30</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.970746</td>\n",
       "      <td>1.204836</td>\n",
       "      <td>0.270746</td>\n",
       "      <td>0.504836</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>30</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.498966</td>\n",
       "      <td>0.628442</td>\n",
       "      <td>-0.201034</td>\n",
       "      <td>-0.071558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>30</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.738042</td>\n",
       "      <td>0.767987</td>\n",
       "      <td>0.038042</td>\n",
       "      <td>0.067987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>30</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.651744</td>\n",
       "      <td>0.578280</td>\n",
       "      <td>-0.048256</td>\n",
       "      <td>-0.121720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>635</th>\n",
       "      <td>10000</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.681152</td>\n",
       "      <td>0.688706</td>\n",
       "      <td>-0.018848</td>\n",
       "      <td>-0.011294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>636</th>\n",
       "      <td>10000</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.705553</td>\n",
       "      <td>0.706600</td>\n",
       "      <td>0.005553</td>\n",
       "      <td>0.006600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>637</th>\n",
       "      <td>10000</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.705962</td>\n",
       "      <td>0.707856</td>\n",
       "      <td>0.005962</td>\n",
       "      <td>0.007856</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638</th>\n",
       "      <td>10000</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.703755</td>\n",
       "      <td>0.700631</td>\n",
       "      <td>0.003755</td>\n",
       "      <td>0.000631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>639</th>\n",
       "      <td>10000</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.680053</td>\n",
       "      <td>0.679696</td>\n",
       "      <td>-0.019947</td>\n",
       "      <td>-0.020304</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>640 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     sample_size  noise_coef  estimate_dml  estimate_lr  error_dml  error_lr\n",
       "0             30         0.1      0.438035     0.730024  -0.261965  0.030024\n",
       "1             30         0.1      0.970746     1.204836   0.270746  0.504836\n",
       "2             30         0.1      0.498966     0.628442  -0.201034 -0.071558\n",
       "3             30         0.1      0.738042     0.767987   0.038042  0.067987\n",
       "4             30         0.1      0.651744     0.578280  -0.048256 -0.121720\n",
       "..           ...         ...           ...          ...        ...       ...\n",
       "635        10000         0.8      0.681152     0.688706  -0.018848 -0.011294\n",
       "636        10000         0.8      0.705553     0.706600   0.005553  0.006600\n",
       "637        10000         0.8      0.705962     0.707856   0.005962  0.007856\n",
       "638        10000         0.8      0.703755     0.700631   0.003755  0.000631\n",
       "639        10000         0.8      0.680053     0.679696  -0.019947 -0.020304\n",
       "\n",
       "[640 rows x 6 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(\n",
    "    results_df[results_df['noise_coef'] == .3]['sample_size'],\n",
    "    (results_df[results_df['noise_coef'] == .3]['error_lr'] / TRUE_EFFECT) * 100,\n",
    "    color=COLORS[0],\n",
    "    alpha=.4,\n",
    "    label='Linear'\n",
    ")\n",
    "\n",
    "plt.scatter(\n",
    "    results_df[results_df['noise_coef'] == .3]['sample_size'],\n",
    "    (results_df[results_df['noise_coef'] == .3]['error_dml'] / TRUE_EFFECT) * 100,\n",
    "    color=COLORS[1],\n",
    "    alpha=.3,\n",
    "    label='DML'\n",
    ")\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.xscale('log')\n",
    "plt.legend()\n",
    "plt.xlabel('$Sample$ $size$', alpha=.5)\n",
    "plt.ylabel('% $error$', alpha=.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Positivity Assumption - An Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helpers\n",
    "def get_y(z, t):\n",
    "    return z + .2 * z**2 + 10*np.sin(z) + 9*t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bad case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set X values\n",
    "z_t0 = np.random.uniform(2, 5, 30)\n",
    "z_t1 = np.random.uniform(5.2, 9, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute Y\n",
    "y_t0 = get_y(z_t0, 0)\n",
    "y_t1 = get_y(z_t1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plt.fill_betweenx([-2, 42], 5, 9, color=COLORS[1], alpha=.2)\n",
    "plt.fill_betweenx([-2, 42], 2, 5, color=COLORS[0], alpha=.2)\n",
    "\n",
    "plt.scatter(z_t0, y_t0, color=COLORS[0], label='$T=0$', alpha=.6)\n",
    "plt.scatter(z_t1, y_t1, color=COLORS[1], label='$T=1$', alpha=.6)\n",
    "\n",
    "plt.xlabel('$Z$', alpha=.5, fontsize=12)\n",
    "plt.ylabel('$E[Y|T, Z]$', alpha=.5, fontsize=12)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Good case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set X values\n",
    "z_t0 = np.random.uniform(2, 9, 30)\n",
    "z_t1 = np.random.uniform(2, 9, 30)\n",
    "\n",
    "# Compute Y\n",
    "y_t0 = get_y(z_t0, 0)\n",
    "y_t1 = get_y(z_t1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plt.fill_betweenx([-2, 42], min(z_t1), max(z_t1), color=COLORS[1], alpha=.2)\n",
    "plt.fill_betweenx([-2, 42], min(z_t0), max(z_t0), color=COLORS[0], alpha=.2)\n",
    "\n",
    "plt.scatter(z_t0, y_t0, color=COLORS[0], label='$T=0$', alpha=.6)\n",
    "plt.scatter(z_t1, y_t1, color=COLORS[1], label='$T=1$', alpha=.6)\n",
    "\n",
    "plt.xlabel('$Z$', alpha=.5, fontsize=12)\n",
    "plt.ylabel('$E[Y|T, Z]$', alpha=.5, fontsize=12)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modularity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.46.0 (20210118.1747)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"278pt\" height=\"188pt\"\n",
       " viewBox=\"0.00 0.00 278.00 188.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 184)\">\n",
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    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['X', 'Y', 'R', 'Z']\n",
    "positions = ['1,2!', '4,.5!', '2.5,.5!', '1, 0!']\n",
    "\n",
    "edges = ['XR', 'ZR', 'RY', 'XY']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_08_modularity')\n",
    "\n",
    "graph"
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   "cell_type": "code",
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    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['X', 'Y', 'R', 'Z']\n",
    "positions = ['1,2!', '4,.5!', '2.5,.5!', '1, 0!']\n",
    "\n",
    "edges = ['RY', 'XY']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_08_modularity_mod')\n",
    "\n",
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selection Bias: Missing Holes & Abraham Wald"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 308,
   "metadata": {},
   "outputs": [
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    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['T', 'Y', 'C']\n",
    "positions = ['0,.5!', '1.5,0!', '3,.5!']\n",
    "\n",
    "edges = ['TY', 'TC', 'YC']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_08_selection')\n",
    "\n",
    "graph"
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  {
   "cell_type": "code",
   "execution_count": 333,
   "metadata": {},
   "outputs": [],
   "source": [
    "SAMPLE_SIZE = 1000\n",
    "\n",
    "# A hypothetical SCM\n",
    "T = np.random.uniform(20, 110, SAMPLE_SIZE)\n",
    "Y = T + np.random.uniform(0, 40, SAMPLE_SIZE)\n",
    "C = (T + Y < 100).astype('int')"
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   "cell_type": "code",
   "execution_count": 334,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(np.stack([T, Y, C]).T, columns=['T', 'Y', 'C'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 341,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare average damage (biased vs unbiased)\n",
    "plt.figure(figsize=(8, 4))\n",
    "\n",
    "plt.hist(df[df['C'] == 1]['Y'], label='Came back = 1', color=COLORS[0], alpha=.5)\n",
    "plt.hist(df[df['C'] == 0]['Y'], label='Came back = 0', color=COLORS[1], alpha=.5, bins=25)\n",
    "\n",
    "plt.xlabel('$Damage$ $severity$', alpha=.5, fontsize=12)\n",
    "plt.ylabel('$Frequency$', alpha=.5, fontsize=12)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More selection bias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 355,
   "metadata": {},
   "outputs": [
    {
     "data": {
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    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['T', 'Y', 'C', 'Z', 'W']\n",
    "positions = ['1.,1.5!', '0,0!', '3,0!', '3,2!', '0,2!']\n",
    "\n",
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    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_08_selection_02')\n",
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    "graph = graphviz.Digraph(format='png', engine='neato')\n",
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    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_08_selection_03')\n",
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