02: Exploratory_Data_Analysis_Techniques.ipynb

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  "metadata": {
    "colab": {
      "name": "Exploratory Data Analysis_Techniques.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.6"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/gulabpatel/EDA_Libraries/blob/main/Exploratory_Data_Analysis_Techniques.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mQFbageR7eSe"
      },
      "source": [
        "# Plotting for Exploratory data analysis (EDA)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KRHB4cUi7eSg"
      },
      "source": [
        "#1. Basic Terminology"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EahE8lDl7eSj"
      },
      "source": [
        "* What is EDA?\n",
        "* Data-point/vector/Observation\n",
        "* Data-set.\n",
        "* Feature/Variable/Input-variable/InDependent-varibale\n",
        "* Label/depdendent-variable/Output-varible/Class/Class-label/Response label\n",
        "* Vector: 2-D, 3-D, 4-D,.... n-D\n",
        "\n",
        "Q. What is a 1-D vector: Scalar\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "IYm45v1y7eSj"
      },
      "source": [
        "## Iris Flower dataset"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iW8l_61b7eSk"
      },
      "source": [
        "Toy  Dataset: Iris Dataset: [https://en.wikipedia.org/wiki/Iris_flower_data_set]\n",
        "* A simple dataset to learn the basics.\n",
        "* 3 flowers of Iris species. [see images on wikipedia link above]\n",
        "* 1936 by Ronald Fisher.\n",
        "* Petal and Sepal: http://terpconnect.umd.edu/~petersd/666/html/iris_with_labels.jpg\n",
        "*  Objective: Classify a new flower as belonging to one of the 3 classes given the 4 features.\n",
        "* Importance of domain knowledge.\n",
        "* Why use petal and sepal dimensions as features?\n",
        "* Why do we not use 'color' as a feature?\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "p2oKsGVW7eSm"
      },
      "source": [
        "import pandas as pd\n",
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "\n",
        "'''downlaod iris.csv from https://raw.githubusercontent.com/uiuc-cse/data-fa14/gh-pages/data/iris.csv'''\n",
        "#Load Iris.csv into a pandas dataFrame.\n",
        "iris = pd.read_csv(\"https://raw.githubusercontent.com/uiuc-cse/data-fa14/gh-pages/data/iris.csv\")"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qs8rT4Up7eSz",
        "outputId": "6c028ac0-2cfc-4c9d-bb49-8f032321152f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "# (Q) how many data-points and features?\n",
        "print (iris.shape)"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(150, 5)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3RT2Gdlq7eTC",
        "scrolled": true,
        "outputId": "c1e36bf6-39d2-4feb-ef19-718ea4ffe350",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 68
        }
      },
      "source": [
        "#(Q) What are the column names in our dataset?\n",
        "print (iris.columns)"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Index(['sepal_length', 'sepal_width', 'petal_length', 'petal_width',\n",
            "       'species'],\n",
            "      dtype='object')\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4ARdqlVj7eTH",
        "outputId": "dc9b9fae-c38d-4fcf-db69-b79ad1069e74",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        }
      },
      "source": [
        "#(Q) How many data points for each class are present? \n",
        "#(or) How many flowers for each species are present?\n",
        "\n",
        "iris[\"species\"].value_counts()\n",
        "# balanced-dataset vs imbalanced datasets\n",
        "#Iris is a balanced dataset as the number of data points for every class is 50."
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "versicolor    50\n",
              "virginica     50\n",
              "setosa        50\n",
              "Name: species, dtype: int64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uExhLJ1-7eTT"
      },
      "source": [
        "#(1.1) 2-D Scatter Plot"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m8fu7kKy7eTU",
        "scrolled": false,
        "outputId": "e67002c7-c562-4193-9b4b-376695464409",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        }
      },
      "source": [
        "#2-D scatter plot:\n",
        "#ALWAYS understand the axis: labels and scale.\n",
        "\n",
        "iris.plot(kind='scatter', x='sepal_length', y='sepal_width') ;\n",
        "plt.show()\n",
        "\n",
        "#cannot make much sense out it. \n",
        "#What if we color the points by thier class-label/flower-type."
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fCu1FPvO7eTc",
        "scrolled": true,
        "outputId": "c9a4725c-ba07-4297-c37a-897688585341",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 331
        }
      },
      "source": [
        "# 2-D Scatter plot with color-coding for each flower type/class.\n",
        "# Here 'sns' corresponds to seaborn. \n",
        "sns.set_style(\"whitegrid\");\n",
        "sns.FacetGrid(iris, hue=\"species\", size=4) \\\n",
        "   .map(plt.scatter, \"sepal_length\", \"sepal_width\") \\\n",
        "   .add_legend();\n",
        "plt.show();\n",
        "\n",
        "# Notice that the blue points can be easily seperated \n",
        "# from red and green by drawing a line. \n",
        "# But red and green data points cannot be easily seperated.\n",
        "# Can we draw multiple 2-D scatter plots for each combination of features?\n",
        "# How many cobinations exist? 4C2 = 6."
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:316: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n",
            "  warnings.warn(msg, UserWarning)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 372.75x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2L5YF3Tj7eTl"
      },
      "source": [
        "**Observation(s):**\n",
        "1. Using sepal_length and sepal_width features, we can distinguish Setosa flowers from others.\n",
        "2. Seperating Versicolor from Viginica is much harder as they have considerable overlap."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TdiZ9lLL7eTn"
      },
      "source": [
        "##(1.2) 3D Scatter plot\n",
        "\n",
        "https://plot.ly/pandas/3d-scatter-plots/\n",
        "\n",
        "Needs a lot to mouse interaction to interpret data.\n",
        "\n",
        "What about 4-D, 5-D or n-D scatter plot?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IZY0FJy4JR1e",
        "outputId": "0342e1ba-780f-4026-e054-e42db0696dbf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        }
      },
      "source": [
        "import plotly\n",
        "import plotly.express as px\n",
        "df = px.data.iris()\n",
        "fig = px.scatter_3d(df, x='sepal_length', y='sepal_width', z='petal_width',\n",
        "              color='species')\n",
        "fig.show()"
      ],
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        "outputId": "19b59324-115f-4cf9-ab6a-7d7d7974c4c4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        }
      },
      "source": [
        "import plotly.express as px\n",
        "df = px.data.iris()\n",
        "fig = px.scatter_3d(df, x='sepal_length', y='sepal_width', z='petal_width',\n",
        "                    color='petal_length', symbol='species')\n",
        "fig.show()"
      ],
      "execution_count": 29,
      "outputs": [
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\"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
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              "\n",
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              "\n",
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              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
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              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VaMXm4_1MXoY",
        "outputId": "8e67cb2c-cb4d-4513-953d-c7f27b74c0d3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        }
      },
      "source": [
        "import plotly.express as px\n",
        "df = px.data.iris()\n",
        "fig = px.scatter_3d(df, x='sepal_length', y='sepal_width', z='petal_width',\n",
        "              color='petal_length', size='petal_length', size_max=18,\n",
        "              symbol='species', opacity=0.7)\n",
        "\n",
        "# tight layout\n",
        "fig.update_layout(margin=dict(l=0, r=0, b=0, t=0))"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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              "                    Plotly.newPlot(\n",
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              "                        [{\"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"species=setosa<br>sepal_length=%{x}<br>sepal_width=%{y}<br>petal_width=%{z}<br>petal_length=%{marker.color}\", \"legendgroup\": \"species=setosa\", \"marker\": {\"color\": [1.4, 1.4, 1.3, 1.5, 1.4, 1.7, 1.4, 1.5, 1.4, 1.5, 1.5, 1.6, 1.4, 1.1, 1.2, 1.5, 1.3, 1.4, 1.7, 1.5, 1.7, 1.5, 1.0, 1.7, 1.9, 1.6, 1.6, 1.5, 1.4, 1.6, 1.6, 1.5, 1.5, 1.4, 1.5, 1.2, 1.3, 1.5, 1.3, 1.5, 1.3, 1.3, 1.3, 1.6, 1.9, 1.4, 1.6, 1.4, 1.5, 1.4], \"coloraxis\": \"coloraxis\", \"opacity\": 0.7, \"size\": [1.4, 1.4, 1.3, 1.5, 1.4, 1.7, 1.4, 1.5, 1.4, 1.5, 1.5, 1.6, 1.4, 1.1, 1.2, 1.5, 1.3, 1.4, 1.7, 1.5, 1.7, 1.5, 1.0, 1.7, 1.9, 1.6, 1.6, 1.5, 1.4, 1.6, 1.6, 1.5, 1.5, 1.4, 1.5, 1.2, 1.3, 1.5, 1.3, 1.5, 1.3, 1.3, 1.3, 1.6, 1.9, 1.4, 1.6, 1.4, 1.5, 1.4], \"sizemode\": \"area\", \"sizeref\": 0.021296296296296296, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"species=setosa\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [5.1, 4.9, 4.7, 4.6, 5.0, 5.4, 4.6, 5.0, 4.4, 4.9, 5.4, 4.8, 4.8, 4.3, 5.8, 5.7, 5.4, 5.1, 5.7, 5.1, 5.4, 5.1, 4.6, 5.1, 4.8, 5.0, 5.0, 5.2, 5.2, 4.7, 4.8, 5.4, 5.2, 5.5, 4.9, 5.0, 5.5, 4.9, 4.4, 5.1, 5.0, 4.5, 4.4, 5.0, 5.1, 4.8, 5.1, 4.6, 5.3, 5.0], \"y\": [3.5, 3.0, 3.2, 3.1, 3.6, 3.9, 3.4, 3.4, 2.9, 3.1, 3.7, 3.4, 3.0, 3.0, 4.0, 4.4, 3.9, 3.5, 3.8, 3.8, 3.4, 3.7, 3.6, 3.3, 3.4, 3.0, 3.4, 3.5, 3.4, 3.2, 3.1, 3.4, 4.1, 4.2, 3.1, 3.2, 3.5, 3.1, 3.0, 3.4, 3.5, 2.3, 3.2, 3.5, 3.8, 3.0, 3.8, 3.2, 3.7, 3.3], \"z\": [0.2, 0.2, 0.2, 0.2, 0.2, 0.4, 0.3, 0.2, 0.2, 0.1, 0.2, 0.2, 0.1, 0.1, 0.2, 0.4, 0.4, 0.3, 0.3, 0.3, 0.2, 0.4, 0.2, 0.5, 0.2, 0.2, 0.4, 0.2, 0.2, 0.2, 0.2, 0.4, 0.1, 0.2, 0.1, 0.2, 0.2, 0.1, 0.2, 0.2, 0.3, 0.3, 0.2, 0.6, 0.4, 0.3, 0.2, 0.2, 0.2, 0.2]}, {\"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"species=versicolor<br>sepal_length=%{x}<br>sepal_width=%{y}<br>petal_width=%{z}<br>petal_length=%{marker.color}\", \"legendgroup\": \"species=versicolor\", \"marker\": {\"color\": [4.7, 4.5, 4.9, 4.0, 4.6, 4.5, 4.7, 3.3, 4.6, 3.9, 3.5, 4.2, 4.0, 4.7, 3.6, 4.4, 4.5, 4.1, 4.5, 3.9, 4.8, 4.0, 4.9, 4.7, 4.3, 4.4, 4.8, 5.0, 4.5, 3.5, 3.8, 3.7, 3.9, 5.1, 4.5, 4.5, 4.7, 4.4, 4.1, 4.0, 4.4, 4.6, 4.0, 3.3, 4.2, 4.2, 4.2, 4.3, 3.0, 4.1], \"coloraxis\": \"coloraxis\", \"opacity\": 0.7, \"size\": [4.7, 4.5, 4.9, 4.0, 4.6, 4.5, 4.7, 3.3, 4.6, 3.9, 3.5, 4.2, 4.0, 4.7, 3.6, 4.4, 4.5, 4.1, 4.5, 3.9, 4.8, 4.0, 4.9, 4.7, 4.3, 4.4, 4.8, 5.0, 4.5, 3.5, 3.8, 3.7, 3.9, 5.1, 4.5, 4.5, 4.7, 4.4, 4.1, 4.0, 4.4, 4.6, 4.0, 3.3, 4.2, 4.2, 4.2, 4.3, 3.0, 4.1], \"sizemode\": \"area\", \"sizeref\": 0.021296296296296296, \"symbol\": \"diamond\"}, \"mode\": \"markers\", \"name\": \"species=versicolor\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.0, 6.4, 6.9, 5.5, 6.5, 5.7, 6.3, 4.9, 6.6, 5.2, 5.0, 5.9, 6.0, 6.1, 5.6, 6.7, 5.6, 5.8, 6.2, 5.6, 5.9, 6.1, 6.3, 6.1, 6.4, 6.6, 6.8, 6.7, 6.0, 5.7, 5.5, 5.5, 5.8, 6.0, 5.4, 6.0, 6.7, 6.3, 5.6, 5.5, 5.5, 6.1, 5.8, 5.0, 5.6, 5.7, 5.7, 6.2, 5.1, 5.7], \"y\": [3.2, 3.2, 3.1, 2.3, 2.8, 2.8, 3.3, 2.4, 2.9, 2.7, 2.0, 3.0, 2.2, 2.9, 2.9, 3.1, 3.0, 2.7, 2.2, 2.5, 3.2, 2.8, 2.5, 2.8, 2.9, 3.0, 2.8, 3.0, 2.9, 2.6, 2.4, 2.4, 2.7, 2.7, 3.0, 3.4, 3.1, 2.3, 3.0, 2.5, 2.6, 3.0, 2.6, 2.3, 2.7, 3.0, 2.9, 2.9, 2.5, 2.8], \"z\": [1.4, 1.5, 1.5, 1.3, 1.5, 1.3, 1.6, 1.0, 1.3, 1.4, 1.0, 1.5, 1.0, 1.4, 1.3, 1.4, 1.5, 1.0, 1.5, 1.1, 1.8, 1.3, 1.5, 1.2, 1.3, 1.4, 1.4, 1.7, 1.5, 1.0, 1.1, 1.0, 1.2, 1.6, 1.5, 1.6, 1.5, 1.3, 1.3, 1.3, 1.2, 1.4, 1.2, 1.0, 1.3, 1.2, 1.3, 1.3, 1.1, 1.3]}, {\"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"species=virginica<br>sepal_length=%{x}<br>sepal_width=%{y}<br>petal_width=%{z}<br>petal_length=%{marker.color}\", \"legendgroup\": \"species=virginica\", \"marker\": {\"color\": [6.0, 5.1, 5.9, 5.6, 5.8, 6.6, 4.5, 6.3, 5.8, 6.1, 5.1, 5.3, 5.5, 5.0, 5.1, 5.3, 5.5, 6.7, 6.9, 5.0, 5.7, 4.9, 6.7, 4.9, 5.7, 6.0, 4.8, 4.9, 5.6, 5.8, 6.1, 6.4, 5.6, 5.1, 5.6, 6.1, 5.6, 5.5, 4.8, 5.4, 5.6, 5.1, 5.1, 5.9, 5.7, 5.2, 5.0, 5.2, 5.4, 5.1], \"coloraxis\": \"coloraxis\", \"opacity\": 0.7, \"size\": [6.0, 5.1, 5.9, 5.6, 5.8, 6.6, 4.5, 6.3, 5.8, 6.1, 5.1, 5.3, 5.5, 5.0, 5.1, 5.3, 5.5, 6.7, 6.9, 5.0, 5.7, 4.9, 6.7, 4.9, 5.7, 6.0, 4.8, 4.9, 5.6, 5.8, 6.1, 6.4, 5.6, 5.1, 5.6, 6.1, 5.6, 5.5, 4.8, 5.4, 5.6, 5.1, 5.1, 5.9, 5.7, 5.2, 5.0, 5.2, 5.4, 5.1], \"sizemode\": \"area\", \"sizeref\": 0.021296296296296296, \"symbol\": \"square\"}, \"mode\": \"markers\", \"name\": \"species=virginica\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [6.3, 5.8, 7.1, 6.3, 6.5, 7.6, 4.9, 7.3, 6.7, 7.2, 6.5, 6.4, 6.8, 5.7, 5.8, 6.4, 6.5, 7.7, 7.7, 6.0, 6.9, 5.6, 7.7, 6.3, 6.7, 7.2, 6.2, 6.1, 6.4, 7.2, 7.4, 7.9, 6.4, 6.3, 6.1, 7.7, 6.3, 6.4, 6.0, 6.9, 6.7, 6.9, 5.8, 6.8, 6.7, 6.7, 6.3, 6.5, 6.2, 5.9], \"y\": [3.3, 2.7, 3.0, 2.9, 3.0, 3.0, 2.5, 2.9, 2.5, 3.6, 3.2, 2.7, 3.0, 2.5, 2.8, 3.2, 3.0, 3.8, 2.6, 2.2, 3.2, 2.8, 2.8, 2.7, 3.3, 3.2, 2.8, 3.0, 2.8, 3.0, 2.8, 3.8, 2.8, 2.8, 2.6, 3.0, 3.4, 3.1, 3.0, 3.1, 3.1, 3.1, 2.7, 3.2, 3.3, 3.0, 2.5, 3.0, 3.4, 3.0], \"z\": [2.5, 1.9, 2.1, 1.8, 2.2, 2.1, 1.7, 1.8, 1.8, 2.5, 2.0, 1.9, 2.1, 2.0, 2.4, 2.3, 1.8, 2.2, 2.3, 1.5, 2.3, 2.0, 2.0, 1.8, 2.1, 1.8, 1.8, 1.8, 2.1, 1.6, 1.9, 2.0, 2.2, 1.5, 1.4, 2.3, 2.4, 1.8, 1.8, 2.1, 2.4, 2.3, 1.9, 2.3, 2.5, 2.3, 1.9, 2.0, 2.3, 1.8]}],\n",
              "                        {\"coloraxis\": {\"colorbar\": {\"title\": {\"text\": \"petal_length\"}}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"b\": 0, \"l\": 0, \"r\": 0, \"t\": 0}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"sepal_length\"}}, \"yaxis\": {\"title\": {\"text\": \"sepal_width\"}}, \"zaxis\": {\"title\": {\"text\": \"petal_width\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('fcc7c62b-9848-4e3f-8fe8-b024e9c006d3');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B3V8WKlqMty0"
      },
      "source": [
        "##**3D Scatter Plot with go.Scatter3d**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Q4LiertwMn1q",
        "outputId": "964ff0d5-eb6c-44a7-9452-2b100195f434",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        }
      },
      "source": [
        "import plotly.graph_objects as go\n",
        "import numpy as np\n",
        "\n",
        "# Helix equation\n",
        "t = np.linspace(0, 10, 50)\n",
        "x, y, z = np.cos(t), np.sin(t), t\n",
        "\n",
        "fig = go.Figure(data=[go.Scatter3d(x=x, y=y, z=z,\n",
        "                                   mode='markers')])\n",
        "fig.show()"
      ],
      "execution_count": 31,
      "outputs": [
        {
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    {
      "cell_type": "code",
      "metadata": {
        "id": "llAKNn83M3gP",
        "outputId": "a6c719fa-d3d7-48b9-b015-ff2cd15de21f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
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        "import plotly.graph_objects as go\n",
        "import numpy as np\n",
        "\n",
        "# Helix equation\n",
        "t = np.linspace(0, 20, 100)\n",
        "x, y, z = np.cos(t), np.sin(t), t\n",
        "\n",
        "fig = go.Figure(data=[go.Scatter3d(\n",
        "    x=x,\n",
        "    y=y,\n",
        "    z=z,\n",
        "    mode='markers',\n",
        "    marker=dict(\n",
        "        size=12,\n",
        "        color=z,                # set color to an array/list of desired values\n",
        "        colorscale='Viridis',   # choose a colorscale\n",
        "        opacity=0.8\n",
        "    )\n",
        ")])\n",
        "\n",
        "# tight layout\n",
        "fig.update_layout(margin=dict(l=0, r=0, b=0, t=0))\n",
        "fig.show()"
      ],
      "execution_count": 32,
      "outputs": [
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          "metadata": {
            "tags": []
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ikdQY1fR7eTp"
      },
      "source": [
        "#(1.3) Pair-plot"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TkuKNKA37eTs",
        "outputId": "65e50ab7-9867-4ec3-c507-124dcfe5eed3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 901
        }
      },
      "source": [
        "# pairwise scatter plot: Pair-Plot\n",
        "# Dis-advantages: \n",
        "##Can be used when number of features are high.\n",
        "##Cannot visualize higher dimensional patterns in 3-D and 4-D. \n",
        "#Only possible to view 2D patterns.\n",
        "plt.close();\n",
        "sns.set_style(\"whitegrid\");\n",
        "sns.pairplot(iris, hue=\"species\", size=3);\n",
        "plt.show()\n",
        "# NOTE: the diagnol elements are PDFs for each feature. PDFs are expalined below."
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:1912: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n",
            "  warnings.warn(msg, UserWarning)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 948.75x864 with 20 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aJAPMfBU7eT1"
      },
      "source": [
        "**Observations**\n",
        "1. petal_length and petal_width are the most useful features to identify various flower types.\n",
        "2. While Setosa can be easily identified (linearly seperable), Virnica and Versicolor have some overlap (almost linearly seperable).\n",
        "3. We can find \"lines\" and \"if-else\" conditions to build a simple model to classify the flower types."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LWsvwUkL7eT4"
      },
      "source": [
        "# (1.4) Histogram, PDF, CDF"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wUvH2M817eT6",
        "scrolled": true,
        "outputId": "b6fd3569-4183-469f-9ba3-45db20daee43",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "# What about 1-D scatter plot using just one feature?\n",
        "#1-D scatter plot of petal-length\n",
        "import numpy as np\n",
        "iris_setosa = iris.loc[iris[\"species\"] == \"setosa\"];\n",
        "iris_virginica = iris.loc[iris[\"species\"] == \"virginica\"];\n",
        "iris_versicolor = iris.loc[iris[\"species\"] == \"versicolor\"];\n",
        "#print(iris_setosa[\"petal_length\"])\n",
        "plt.plot(iris_setosa[\"petal_length\"], np.zeros_like(iris_setosa['petal_length']), 'o')\n",
        "plt.plot(iris_versicolor[\"petal_length\"], np.zeros_like(iris_versicolor['petal_length']), 'o')\n",
        "plt.plot(iris_virginica[\"petal_length\"], np.zeros_like(iris_virginica['petal_length']), 'o')\n",
        "\n",
        "plt.show()\n",
        "#Disadvantages of 1-D scatter plot: Very hard to make sense as points \n",
        "#are overlapping a lot.\n",
        "#Are there better ways of visualizing 1-D scatter plots?"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gjZTt3WS7eUD",
        "scrolled": false,
        "outputId": "eff6538f-8b16-4d3b-de57-00063fbfd5c7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 661
        }
      },
      "source": [
        "sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
        "   .map(sns.distplot, \"petal_length\") \\\n",
        "   .add_legend();\n",
        "plt.show();\n",
        "\n"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:316: UserWarning:\n",
            "\n",
            "The `size` parameter has been renamed to `height`; please update your code.\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 444.75x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zHGF-B3h7eUK",
        "outputId": "e5c5c66a-297b-451c-e761-f3955b44965c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 661
        }
      },
      "source": [
        "sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
        "   .map(sns.distplot, \"petal_width\") \\\n",
        "   .add_legend();\n",
        "plt.show();"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:316: UserWarning:\n",
            "\n",
            "The `size` parameter has been renamed to `height`; please update your code.\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 444.75x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eKMrbu917eUU",
        "outputId": "51ca8cb1-b67f-48b1-b58d-22560fd1732d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 661
        }
      },
      "source": [
        "sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
        "   .map(sns.distplot, \"sepal_length\") \\\n",
        "   .add_legend();\n",
        "plt.show();"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:316: UserWarning:\n",
            "\n",
            "The `size` parameter has been renamed to `height`; please update your code.\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 444.75x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RyusT9e47eUb",
        "outputId": "5d2f3d22-aa2f-488a-e673-2294b404ebeb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 661
        }
      },
      "source": [
        "sns.FacetGrid(iris, hue=\"species\", size=5) \\\n",
        "   .map(sns.distplot, \"sepal_width\") \\\n",
        "   .add_legend();\n",
        "plt.show();"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/seaborn/axisgrid.py:316: UserWarning:\n",
            "\n",
            "The `size` parameter has been renamed to `height`; please update your code.\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n",
            "/usr/local/lib/python3.6/dist-packages/seaborn/distributions.py:2551: FutureWarning:\n",
            "\n",
            "`distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 444.75x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sUTbOpd67eUg"
      },
      "source": [
        "# Histograms and Probability Density Functions (PDF) using KDE\n",
        "# How to compute PDFs using counts/frequencies of data points in each window.\n",
        "# How window width effects the PDF plot.\n",
        "\n",
        "\n",
        "# Interpreting a PDF:\n",
        "## why is it called a density plot?\n",
        "## Why is it called a probability plot?\n",
        "## for each value of petal_length, what does the value on y-axis mean?\n",
        "# Notice that we can write a simple if..else condition as if(petal_length) < 2.5 then flower type is setosa.\n",
        "# Using just one feature, we can build a simple \"model\" suing if..else... statements.\n",
        "\n",
        "# Disadv of PDF: Can we say what percentage of versicolor points have a petal_length of less than 5?\n",
        "\n",
        "# Do some of these plots look like a bell-curve you studied in under-grad?\n",
        "# Gaussian/Normal distribution.\n",
        "# What is \"normal\" about normal distribution?\n",
        "# e.g: Hieghts of male students in a class.\n",
        "# One of the most frequent distributions in nature.\n"
      ],
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5w3mEOUR7eUk",
        "scrolled": true,
        "outputId": "f5acfb6f-984b-4f02-f0a9-7d741e64ce07",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        }
      },
      "source": [
        "# Need for Cumulative Distribution Function (CDF)\n",
        "# We can visually see what percentage of versicolor flowers have a \n",
        "# petal_length of less than 5?\n",
        "# How to construct a CDF?\n",
        "# How to read a CDF?\n",
        "\n",
        "#Plot CDF of petal_length\n",
        "\n",
        "counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "print(pdf);\n",
        "print(bin_edges);\n",
        "cdf = np.cumsum(pdf)\n",
        "plt.plot(bin_edges[1:],pdf);\n",
        "plt.plot(bin_edges[1:], cdf)\n",
        "\n",
        "\n",
        "counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=20, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "plt.plot(bin_edges[1:],pdf);\n",
        "\n",
        "plt.show();\n"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0.   0.04]\n",
            "[1.   1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KDX4yFj17eUq",
        "outputId": "9569b573-84a7-45ad-e626-208379b0ca07",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        }
      },
      "source": [
        "# Need for Cumulative Distribution Function (CDF)\n",
        "# We can visually see what percentage of versicolor flowers have a \n",
        "# petal_length of less than 1.6?\n",
        "# How to construct a CDF?\n",
        "# How to read a CDF?\n",
        "\n",
        "#Plot CDF of petal_length\n",
        "\n",
        "counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "print(pdf);\n",
        "print(bin_edges)\n",
        "\n",
        "#compute CDF\n",
        "cdf = np.cumsum(pdf)\n",
        "plt.plot(bin_edges[1:],pdf)\n",
        "plt.plot(bin_edges[1:], cdf)\n",
        "\n",
        "\n",
        "\n",
        "plt.show();"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0.   0.04]\n",
            "[1.   1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TjHpJqSz7eUw",
        "outputId": "fb11a8fa-f8be-4ae8-df6b-f23a5e372235",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 367
        }
      },
      "source": [
        "# Plots of CDF of petal_length for various types of flowers.\n",
        "\n",
        "# Misclassification error if you use petal_length only.\n",
        "\n",
        "counts, bin_edges = np.histogram(iris_setosa['petal_length'], bins=10, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "print(pdf);\n",
        "print(bin_edges)\n",
        "cdf = np.cumsum(pdf)\n",
        "plt.plot(bin_edges[1:],pdf)\n",
        "plt.plot(bin_edges[1:], cdf)\n",
        "\n",
        "\n",
        "# virginica\n",
        "counts, bin_edges = np.histogram(iris_virginica['petal_length'], bins=10, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "print(pdf);\n",
        "print(bin_edges)\n",
        "cdf = np.cumsum(pdf)\n",
        "plt.plot(bin_edges[1:],pdf)\n",
        "plt.plot(bin_edges[1:], cdf)\n",
        "\n",
        "\n",
        "#versicolor\n",
        "counts, bin_edges = np.histogram(iris_versicolor['petal_length'], bins=10, \n",
        "                                 density = True)\n",
        "pdf = counts/(sum(counts))\n",
        "print(pdf);\n",
        "print(bin_edges)\n",
        "cdf = np.cumsum(pdf)\n",
        "plt.plot(bin_edges[1:],pdf)\n",
        "plt.plot(bin_edges[1:], cdf)\n",
        "\n",
        "\n",
        "plt.show();"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.02 0.02 0.04 0.14 0.24 0.28 0.14 0.08 0.   0.04]\n",
            "[1.   1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n",
            "[0.02 0.1  0.24 0.08 0.18 0.16 0.1  0.04 0.02 0.06]\n",
            "[4.5  4.74 4.98 5.22 5.46 5.7  5.94 6.18 6.42 6.66 6.9 ]\n",
            "[0.02 0.04 0.06 0.04 0.16 0.14 0.12 0.2  0.14 0.08]\n",
            "[3.   3.21 3.42 3.63 3.84 4.05 4.26 4.47 4.68 4.89 5.1 ]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1JykhrwO7eUz"
      },
      "source": [
        "# (1.5) Mean, Variance and Std-dev"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7rhG9mB17eU0",
        "outputId": "bf9af6ef-b82c-4187-880e-408377bd7871",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 187
        }
      },
      "source": [
        "#Mean, Variance, Std-deviation,  \n",
        "print(\"Means:\")\n",
        "print(np.mean(iris_setosa[\"petal_length\"]))\n",
        "#Mean with an outlier.\n",
        "print(np.mean(np.append(iris_setosa[\"petal_length\"],50)));\n",
        "print(np.mean(iris_virginica[\"petal_length\"]))\n",
        "print(np.mean(iris_versicolor[\"petal_length\"]))\n",
        "\n",
        "print(\"\\nStd-dev:\");\n",
        "print(np.std(iris_setosa[\"petal_length\"]))\n",
        "print(np.std(iris_virginica[\"petal_length\"]))\n",
        "print(np.std(iris_versicolor[\"petal_length\"]))\n",
        "\n",
        "\n",
        "\n"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Means:\n",
            "1.464\n",
            "2.4156862745098038\n",
            "5.552\n",
            "4.26\n",
            "\n",
            "Std-dev:\n",
            "0.17176728442867115\n",
            "0.5463478745268441\n",
            "0.4651881339845204\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "abmP92Sn7eU4"
      },
      "source": [
        "# (1.6) Median, Percentile, Quantile, IQR, MAD"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cICgORTF7eU5",
        "outputId": "431e8134-fa36-4bec-d2ed-b313c7a44337",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 442
        }
      },
      "source": [
        "#Median, Quantiles, Percentiles, IQR.\n",
        "print(\"\\nMedians:\")\n",
        "print(np.median(iris_setosa[\"petal_length\"]))\n",
        "#Median with an outlier\n",
        "print(np.median(np.append(iris_setosa[\"petal_length\"],50)));\n",
        "print(np.median(iris_virginica[\"petal_length\"]))\n",
        "print(np.median(iris_versicolor[\"petal_length\"]))\n",
        "\n",
        "\n",
        "print(\"\\nQuantiles:\")\n",
        "print(np.percentile(iris_setosa[\"petal_length\"],np.arange(0, 100, 25)))\n",
        "print(np.percentile(iris_virginica[\"petal_length\"],np.arange(0, 100, 25)))\n",
        "print(np.percentile(iris_versicolor[\"petal_length\"], np.arange(0, 100, 25)))\n",
        "\n",
        "print(\"\\n90th Percentiles:\")\n",
        "print(np.percentile(iris_setosa[\"petal_length\"],90))\n",
        "print(np.percentile(iris_virginica[\"petal_length\"],90))\n",
        "print(np.percentile(iris_versicolor[\"petal_length\"], 90))\n",
        "\n",
        "from statsmodels import robust\n",
        "print (\"\\nMedian Absolute Deviation\")\n",
        "print(robust.mad(iris_setosa[\"petal_length\"]))\n",
        "print(robust.mad(iris_virginica[\"petal_length\"]))\n",
        "print(robust.mad(iris_versicolor[\"petal_length\"]))\n"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\n",
            "Medians:\n",
            "1.5\n",
            "1.5\n",
            "5.55\n",
            "4.35\n",
            "\n",
            "Quantiles:\n",
            "[1.    1.4   1.5   1.575]\n",
            "[4.5   5.1   5.55  5.875]\n",
            "[3.   4.   4.35 4.6 ]\n",
            "\n",
            "90th Percentiles:\n",
            "1.7\n",
            "6.3100000000000005\n",
            "4.8\n",
            "\n",
            "Median Absolute Deviation\n",
            "0.14826022185056031\n",
            "0.6671709983275211\n",
            "0.5189107764769602\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning:\n",
            "\n",
            "pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6OHiqoR-7eU9"
      },
      "source": [
        "# (1.7) Box plot and Whiskers"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "s4ZG6dZw7eU_",
        "scrolled": true,
        "outputId": "e0101809-334a-4de7-c229-904318c778b6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "source": [
        "#Box-plot with whiskers: another method of visualizing the  1-D scatter plot more intuitivey.\n",
        "# The Concept of median, percentile, quantile.\n",
        "# How to draw the box in the box-plot?\n",
        "# How to draw whiskers: [no standard way] Could use min and max or use other complex statistical techniques.\n",
        "# IQR like idea.\n",
        "\n",
        "#NOTE: IN the plot below, a technique call inter-quartile range is used in plotting the whiskers. \n",
        "#Whiskers in the plot below donot correposnd to the min and max values.\n",
        "\n",
        "#Box-plot can be visualized as a PDF on the side-ways.\n",
        "\n",
        "sns.boxplot(x='species',y='petal_length', data=iris)\n",
        "plt.show()"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEGCAYAAACAd+UpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAdpUlEQVR4nO3de1xUZf4H8M9wG0BQ46LmpRTBQkxdw9XyirvKgLpestVVN3RNbVPxiiFeIxJLdA17uemaecm10kg0ubi75t3cfooaMikoJCqiMhL3AWae3x/krHiBAefMMIfP+/XqFTNzznm+nAMfHp9zznMUQggBIiKSJRtLF0BERNJhyBMRyRhDnohIxhjyREQyxpAnIpIxO0sX8KBz585BqVRaugwiIqui1WrRvXv3x37WoEJeqVTC19fX0mUQEVkVtVr9xM84XENEJGMMeSIiGZN0uObq1auYO3eu4XV2djZCQ0MxadIkKZslIqJfSRryXl5eiI+PBwDodDr0798fgwcPlrJJIiJ6gNmGa06dOoV27dqhTZs25mqSiKjRM9vVNQcOHMCwYcNqXEar1dZ4lpiIiOrGLCFfXl6OQ4cOYf78+TUux0soiYjqrqbOsVlC/ujRo/Dz84OHh4c5miMiK5SUlISEhASTb1ej0QAA3NzcTL5tAAgODoZKpZJk26ZglpA/cOAAhg4dao6miIiqycvLAyBdyDd0CqkfGlJSUoKAgAD8+9//hqura43LqtVqDtcQkUmFhoYCAGJjYy1ciXRqyk7Je/LOzs44ffq01M0QEdFj8I5XIiIZY8gTEckYQ56ISMYY8kREMsaQJyKSMYY8EZGMMeSJiGSMIU9EJGMMeSIiGWPIExHJGEOeiEjGGPJERDLGkCcikjGGPBGRjDHkiYhkjCFPRCRjDHkiIhljyBMRyRhDnohIxhjyREQyxpAnIpIxhjwRkYwx5ImIZIwhT0QkY5KHfEFBAUJDQ6FSqRAUFISUlBSpmyQiol/ZSd3A+++/j379+iE2Nhbl5eUoKyuTukkiIvqVpD35wsJC/PDDDxgzZgwAwMHBAU2bNpWySSIieoCkPfnr16/Dzc0NixYtwk8//QQ/Pz8sXrwYzs7Oj11eq9VCrVZLWRIRNTIlJSUA0GizRdKQr6ysRFpaGpYuXYpu3bohKioKmzZtwpw5cx67vFKphK+vr5QlEVEjc79TKedsqekPmKTDNa1atUKrVq3QrVs3AIBKpUJaWpqUTRIR0QMkDXlPT0+0atUKV69eBQCcOnUKHTt2lLJJIiJ6gORX1yxduhQLFixARUUF2rVrh+joaKmbJCIJxcbGIiMjw9JlGC09PR0AEBoaauFK6sbb29skNUse8r6+voiLi5O6GSIyk4yMDKRcTAGaW7oSI/06XpFyw4ru0ck33aYkD3kikqHmgH6g3tJVyJbNYdONpHNaAyIiGWPIExHJGEOeiEjGGPJERDLGkCcikjGGPBGRjDHkiYhkjNfJE1GdaDQaIN+013LTQ/IBjZPGJJviUSIikjH25ImoTtzc3PBz6c+841VCNodt4ObmZpptmWQrRETUIDHkiYhkjCFPRCRjDHkiIhljyBMRyRhDnohIxhjyREQyxpAnIpIxhjwRkYwx5ImIZIwhT0QkYwx5IiIZY8gTEckYZ6EkWUlKSkJCQoLJt6vRVM3tbaqZAR8UHBwMlUpl8u1Kyprmky/79f+OFq2ibvIBtDHNpiQP+UGDBqFJkyawsbGBra0t4uLipG6SyOTy8vIASBPy1sbb29vSJdRJeno6AMCnjY+FK6mDNqbbzwohhDDJlp5g0KBB2LNnj1G/HGq1Gr6+vlKWQ1QvoaGhAIDY2FgLV0J11RiOXU3ZaSX/3iIiovowy5j8lClToFAoMHbsWIwdO/aJy2m1WqjVanOURFQnJSUlAMCfTyvU2I+d5CG/a9cutGzZEnl5eZg8eTK8vLzQs2fPxy6rVCo5XEMNkrOzMwDw59MKNYZjV9MfMMmHa1q2bAkAcHd3x+DBg3HhwgWpmyQiol9JGvIlJSUoKioyfH3ixAn4+FjRGW4iIisn6XBNXl4eZsyYAQDQ6XQYNmwY+vfvL2WTRET0AElDvl27dti3b5+UTRARUQ14CSURkYzVqSd/9uxZ3LhxAzqdzvDeyJEjTV4UERGZhtEhHxYWhuzsbLz44ouwtbUFACgUCoY8EVEDZnTIp6amIiEhAQqFQsp6iIjIhIwek/fx8cGdO3ekrIWIiEys1p78W2+9BQAoLi7G0KFD0bVrV9jb2xs+/+STT6SrjoiInkqtIf+Xv/zFHHVQIxIbG4uMjAxLl1En96ervT+jobXw9va2uprJtGoN+d/+9rcAgNWrVyMsLKzaZ6tXrzZ8TmSsjIwMXE49i+dcdLUv3EA0FVXnosqyfrBwJca7VmRr6RKoATD6xOvJkycfee/o0aOPBD+RMZ5z0WGJf5Gly5C1qP9zsXQJ1ADUGvL//Oc/sWvXLmRnZ2P48OGG94uLi9GjRw9JiyMioqdTa8gPHz4c/fv3x9q1azF//nzD+02aNEHz5s0lLY6IGg+pns8r9fmUhv6M3lpD3tXVFa6urli2bNkjn1VUVFS70oaIqKFxd3e3dAkWZfSY/OjRo5GTk4OmTZsCAAoKCuDh4QEPDw+899576NKli2RFEpH8qVSqBt0jtlZGh/yrr76KwMBA9OvXDwBw/PhxHDx4EKNHj8a7776L3bt3S1YkERHVj9F3vJ4/f94Q8ADQt29fpKSkoHv37igvL5ekOCIiejpG9+Q9PT2xadMmDB06FACQkJAADw8P6HQ62NhwxmIynkajwZ1CW17iJ7GfC23hqdFYugyyMKPTOSYmBrm5uZgxYwZmzJiBnJwcrFmzBjqdDuvWrZOyRiIiqieje/Jubm5YunTpYz97/vnnTVYQyZ+bmxucC67wZiiJRf2fCxzd3CxdBlmY0SGfmZmJLVu24MaNG6isrDS8v337dkkKIyKip2d0yM+ePRvjxo3D66+/zjF4IiIrYXTI29nZYfz48VLWQkREJmZ0lzwgIAA7d+7E7du3kZ+fb/iPiIgaLqN78t988w0A4NNPPzW8p1Ao8J///Mf0VRERkUkYHfKHDh2Ssg4iIpKA0cM1paWl2LBhg+EyyqysLHz33XdGravT6TBy5EhMnz69flUSEVG9GB3yixYtgr29PVJSUgAALVu2NPomqO3bt6Njx471q5CIiOrN6OGaa9euYd26dThw4AAAwMnJCUKIWte7desWDh8+jLfeegtbt26td6EkL9eKrGtag1/Kqx7/18yh9p/5huJakS06WboIsjijQ97BwQFlZWVQKKp+2K9duwYHB4da11u5ciXCwsJQXFxc67JarRZqtdrYkshKubm5oa3Xi9BbupA6yM/OBgC4tmhn4UqM17ZF1b7m71TjZnTIz5o1C2+++SZycnIwf/58pKSkIDo6usZ1vvvuO7i5uaFLly44ffp0rW0olUr4+voaWxJZqRUrVli6hDq7/1Sh2NhYC1dC9Kia/pAbHfJ9+vRB586dcf78eQghsHjxYrjVMi/G2bNncejQIRw9ehRarRZFRUVYsGABYmJijK+eiIjqrdaQv3jxYrXXnp6eAICcnBzk5OTAz8/vievOnz/f8FzY06dPY8uWLQx4IiIzqjXkV61a9cTPFAoFJygjImrAag35HTt2GLWhEydOoE+fPk/8vFevXujVq5fxlRER0VMz2XSSHIYhImp4TBbyxlwzT0RE5mWykL9//TwRETUcfPoHEZGMmSzk27RpY6pNERGRidR6dc3Bgwdr/HzIkCEAgI8//tg0FRERkcnUGvK1TSd8P+SJiKjhqTXka5ufhoiIGi6j564BgMOHDyM9PR1ardbw3syZM01eFBERmYbRJ16XLVuGhIQEfP755wCA5ORk3Lx5U7LCiIjo6Rkd8ikpKfjwww/RtGlTzJw5E1988QWysrIkLI2IiJ6W0SHv6OgIoOqJULm5ubC3t8edO3ckK4yIiJ6e0WPyAwcOREFBAaZMmYLRo0dDoVBgzJgxUtZGRERPyeiQnzp1KhwcHBAYGIiAgABotVoolUopayMioqdk9HDN2LFjDV87ODjA1dW12ntERNTw1NqTv3PnDnJzc1FWVoa0tDTDbJNFRUUoLS2VvEAiIqq/WkP++PHjiIuLw61bt6rdGOXi4oJ58+ZJWhwRET0dhTByIvjk5GQEBgZKWoxarYavr6+kbZC8JSUlISEhweTbTU9PBwD4+PiYfNvBwcFQqVQm3y41HjVlp9Fj8j169EBERATefPNNAEBGRgZ2795tmgqJGjh3d3e4u7tbugyiOjP66ppFixZh9OjR+OSTTwAA7du3x9y5c/H6669LVhxRXalUKvaKiR5gdE/+3r17CA4Oho1N1Sp2dnaGr4mIqGEyOqWdnZ1x7949w2P+zp07B1dXV8kKIyKip2f0cE14eDj++te/Ijs7G+PGjcO9e/fw0UcfSVkbERE9JaND3tvbG4MHD4aTkxOaNGmC3//+9+jQoYOUtRER0VMyerhm4cKFuHr1KqZPn46JEyciKysLYWFhUtZG1GDcvXsXs2bNQl5enqVLIaoTo3vy6enp1a4/7t27N4KDg2tcR6vVYsKECSgvL4dOp0NgYCBCQ0PrXy2RhWzbtg0XLlzAtm3beBMgWRWje/KdO3fGuXPnDK/Pnz+PLl261LiOg4MDtm3bhn379mHv3r04duxYtW0QWYO7d+8iMTERQggkJiayN09Wxeie/MWLFzFu3Di0bt0aAHDz5k106NABw4cPBwDs37//kXUUCgWaNGkCAKisrERlZaXh6hwia7Ft2zbDnE16vZ69ebIqRof85s2b69WATqfD6NGjce3aNYwfPx7dunV74rJarRZqtbpe7RBJJTk5GRUVFQCAiooKJCUlISgoyMJVERnH6JBv06ZNvRqwtbVFfHw8CgoKMGPGDFy+fBmdOnV67LJKpZJz11CDExgYiISEBFRUVMDe3h4qlYo/p9Sg1NQ5Ntstq02bNkWvXr1w7NgxczVJZBIhISGGYUYbGxuEhIRYuCIi40ka8hqNBgUFBQCAsrIynDx5El5eXlI2SWRyHh4eCAoKgkKhQFBQECcqI6ti9HBNfdy+fRvh4eHQ6XQQQkClUiEgIEDKJokkERISgqysLPbiyeoYPZ+8OXA+eSKiujPJfPJERGR9GPJERDLGkCcikjGGPBGRjDHkiYhkjCFPRCRjDHkiIhljyBMRyRhDnohIxhjyREQyxpAnIpIxhjwRkYwx5ImIZIwhT0QkYwx5IiIZY8gTEckYQ56ISMYY8kREMsaQJyKSMYY8EZGMMeSJiGSMIU9EJGMMeSIiGWPIExHJmJ2UG8/JycHChQuRl5cHhUKBP/7xjwgJCZGySSIieoCkIW9ra4vw8HD4+fmhqKgIr732Gvr06QNvb28pmyUiol9JOlzTokUL+Pn5AQBcXFzg5eWF3NxcKZskIqIHSNqTf9D169ehVqvRrVu3Jy6j1WqhVqvNVZJZZWdnIyYmBmFhYWjbtq2lyyGiRsIsIV9cXIzQ0FBERETAxcXlicsplUr4+vqaoySzi46ORllZGXbs2IHt27dbuhwikpGaOseSX11TUVGB0NBQDB8+HEOGDJG6uQbp8uXLyMrKAgBkZWUhIyPDsgURUaMhacgLIbB48WJ4eXlh8uTJUjbVoEVFRVV7HRkZaaFKiKixkTTkz5w5g/j4eHz//fcYMWIERowYgSNHjkjZZIN0vxf/pNdERFKRdEze398fly5dkrIJq9C+fftqwd6+fXuL1UJEjQvveDWDJUuWVHu9bNkyC1VCRI0NQ94MOnXqZOi9t2/fnjeDEZHZMOTNZMmSJWjSpAl78URkVma7GcpaJCUlISEhweTb1Wg0cHd3R2xsrMm3DQDBwcFQqVSSbJuIrBdD3kzy8vIAAG5ubhauhIgaE4b8Q1QqlSQ94tDQUACQrCdPRPQ4HJMnIpIxhjwRkYxZ7XBNbGysVc0Bk56eDuB/wzbWwtvb2+pqJqL/sdqQz8jIQMqPadA7W8eJTIWualefuXLLwpUYz6ZEY+kSiOgpWW3IazQaAMLSZRhN2DtZuoR6EL/uZyKyVhyTJyKSMavtybu5uSHzXjnKOg+zdCmy5Zj2La/rJ7Jy7MkTEcmY1fbkgaoTg45p31q6DKMoKkoBWNfYfNWJ11aWLoOInoLVhry1zeR4/xJKn47WFJqtrG4/E1F1Vhvy1nbtNqc1ICJL4Jg8EZGMMeSJiGSMIU9EJGNWOyYvFakeGiL13DV8aAgRPQ578mbSvHlzVFZWoqKiwtKlEFEjwp78Q6R6aMiaNWuwb98++Pj4YN68eSbfPhHR47AnbwZ3795FYmIihBBITEw0PAqQiEhqDHkz2LZtG/R6PQBAp9Nh27ZtFq6IiBoLSUN+0aJFeOWVVzBsWOOeROxf//oXKisrAQCVlZU4ePCghSsiosZC0pAfPXo0Nm/eLGUTVqFfv37VXvfv399ClRBRYyNpyPfs2RPNmjWTsgkiIqpBg7q6RqvVQq1WW7oMkzty5Ei114cPH8aoUaMsVA0RNSYNKuSVSiV8fX0tXYbJBQYG4sCBA6isrISdnR1UKpUsv08isoyaOse8usYMQkJCYGNTtattbW0REhJi4YqIqLFgyJuBh4cHgoKCoFAoEBQUBHd3d0uXRESNhKQhP2/ePIwbNw6ZmZno378/du/eLWVzDVpISAi6du3KXjwRmZVCCCEsXcR9arWaY9VERHVUU3ZyuIaISMYY8kREMsaQJyKSMYY8EZGMNaiboeR6xysRkZS0Wu0TP2tQV9cQEZFpcbiGiEjGGPJERDLGkCcikjGGPBGRjDHkiYhkjCFPRCRjDHkJxcXFITc319Jl0FP46KOPcPLkyTqvd/r0aUyfPl2Cihqn3NxchIaG1nm9qVOnoqCgoMZl6nuMrQWvk5fQn//8ZyxcuBAvvfSSpUuhGgghIIQwPNjFFE6fPo0tW7Zg48aNRi1//6lhVDfcb7Xj3qmjkpISzJkzB7du3YJer8fbb7+N5557DqtWrUJJSQmeeeYZREdH4+zZs0hNTcWCBQvg6OiIL7/8EikpKfjggw+g0+nQpUsXvPvuu3BwcEBMTAwOHToEW1tb9O3bF++88w4OHTqEv//976ioqEDz5s0RExMDDw8PS3/7DVpMTAyeffZZTJgwAQCwfv16ODs7QwiBxMRElJeXY/DgwQgNDcX169cxZcoUdOvWDRcvXsSmTZuwfv16pKamQqFQ4LXXXsOkSZMQHh6OgQMHQqVS4cKFC1i5ciVKSkrg4OCArVu3wt7eHitWrEBqaipsbW0RHh6O3r17V6srPz8fERERyM7OhpOTEyIjI/Hiiy9i/fr1uHbtGrKzs9G6dWusXbvWErutwXnScfzmm2/w7bffIi4uDgcPHkRJSQn0ej3+8Y9/IDw8HOnp6ejQoQNu376NZcuW4aWXXsKgQYOwZ88elJSUYOrUqXj55ZeRkpKCli1bYsOGDXB0dKz1GOfn52PhwoUoLS0FACxduhQ9evSw5C6qG0F1kpSUJBYvXmx4XVBQIMaOHSvy8vKEEEIcOHBAhIeHCyGEmDhxorhw4YIQQoiysjLRv39/cfXqVSGEEGFhYeKzzz4TGo1GDBkyROj1eiGEEL/88osQQoj8/HzDe1999ZWIjo42zzdoxS5evCgmTJhgeB0UFCTi4uLEkiVLhF6vFzqdTkybNk3897//FdnZ2eKFF14QKSkpQgghfvzxRzFp0iTDuvePwzvvvCMSExOFVqsVgwYNEufPnxdCCFFYWCgqKirEp59+ajjeGRkZYsCAAaKsrEx8//33Ytq0aUIIISIjI8X69euFEEKcPHlS/OEPfxBCCBEbGytGjRolSktLJd4z1uVxx/GHH34QQ4cOFUII8fXXX4t+/fqJe/fuCSGE2Lx5s1i6dKkQQohLly4JX19fw+9dQECAyMvLE9nZ2cLX11ekpaUJIYQIDQ0Ve/fuFULUfoxLSkpEWVmZEEKIzMxMMWrUKDPsBdNhT76OOnXqhA8++ACrV69GQEAAmjZtisuXL2Py5MkAAL1eD09Pz0fWy8zMRNu2bdGhQwcAwKhRo7Bz505MnDgRSqUSERERCAgIwMCBAwEAt27dwty5c3Hnzh2Ul5ejbdu2ZvserVXnzp2Rl5eH3Nxc3Lt3z3BsTpw4gZEjRwKo+pdYVlYWnn32WbRu3Rrdu3cHALRr1w7Z2dl47733MGDAAPTt27fatjMzM+Hp6YmuXbsCAFxcXAAAZ86cwcSJEwEAHTt2ROvWrZGZmVlt3TNnzmD9+vUAgFdeeQX5+fkoKioCAAwaNAiOjo4S7RHr9Ljj2KpVq2rL9OnTB82bNwdQtX/feOMNAFW/ny+88MJjt9u2bVvDgzX8/Pxw48aNap8/6RiXlpYiMjISP/30E2xsbJCVlWWy79UcGPJ11KFDB8TFxeHIkSNYt24devfuDR8fH3z55Zf12p6dnR327NmDU6dOISkpCZ9//jm2b9+OqKgoTJo0Cb/73e9w+vRpfPzxxyb+TuRJpVIhOTkZd+/eRXBwMG7evIlp06Zh3Lhx1Za7fv06nJ2dDa+bNWuG+Ph4HD9+HF988QUSExMRHR0teb1OTk6St2GNHj6OD6vPfnNwcDB8bWtrW+OkXg/aunUrPDw8EB8fD71eb/gjYC14dU0d5ebmwsnJCSNGjMCUKVNw/vx5aDQapKSkAAAqKiqQnp4OAGjSpAmKi4sBVP1xuHHjBn7++WcAQHx8PHr27Ini4mIUFhZiwIABiIiIwKVLlwAAhYWFaNmyJQBg79695v42rVZwcDASEhKQnJwMlUqFvn374uuvvzYch9zcXOTl5T2ynkajgRACgYGBmDNnDtLS0qp93qFDB9y5cwcXLlwAABQVFaGyshL+/v7Yv38/gKqeYE5ODry8vKqt6+/vj3379gGoOiH7zDPPGHqJ9HgPH8ea9OjRA4mJiQCAjIwMXL58uV5tPukYFxYWwtPTEzY2NoiPj4dOp6vX9i2FPfk6unz5Mj788EPY2NjAzs4OK1asgJ2dHaKiolBYWAidToeQkBD4+Phg1KhRWL58ueHEa3R0NGbPnm048fqnP/0J+fn5ePvttw29ivDwcADAzJkzMXv2bDRr1gy9evXC9evXLfltWw0fHx8UFxejRYsWhv+uXLli6Mk7Oztj9erVj1xJc/v2bSxatAh6vR5A1UPoH+Tg4IC//e1viIqKQllZGRwdHfHZZ59h/PjxWLFiBYYPHw5bW1tER0dX6zECVccyIiICw4cPh5OTE1atWiXhHpCHh49jTT//48ePR3h4OIKDg+Hl5QVvb2+4urrWuc2ajvGsWbOwd+9e9OvXr9q/AK0BL6EkIqum0+lQWVkJpVKJa9euYdKkSUhKSnrkj21jxZ48EVm10tJSvPHGG6isrIQQAsuXL2fAP4A9eSIiGeOJVyIiGWPIExHJGEOeiEjGGPJET8GYWQ6JLIknXomIZIyXUJLsPW7m0JiYGKhUKhw7dgxKpRJr1qzB888/D41Gg+XLl+PmzZsAgIiICLz88ssoLi5GVFQUUlNTAVTd4BQYGGiY5dDNzQ3x8fHYsWMHKioq0K1bNyxfvhwAsHjx4kdmtyQyF4Y8yd6xY8fQokULbNq0CUDVlBExMTFwdXXF/v37sXfvXqxcuRIbN27E+++/j5CQEPj7++PmzZuYMmUKEhMTsWHDBri4uBimMPjll1+qtXHlyhUkJiZi165dhumH9+/fD29vb+Tm5uLbb78FAA7tkNkx5En2Hp451N/fHwAwbNgwAMDQoUMNk5GdPHkSGRkZhnWLiopQXFyMU6dOVZvvvVmzZtXaOHXqFFJTUzFmzBgAQFlZGdzd3REQEFDj7JZEUmPIk+w9bubQJ9Hr9fjqq6+gVCrr1IYQAqNGjcL8+fMf+cwSs1sS3cera0j2Hp459P4Mk/dnLkxISMBvfvMbAEDfvn2xY8cOw7pqtRoA8Oqrr2Lnzp2G9x8ernnllVeQnJxsmOEyPz8fN27cqHV2SyKp8eoakr1jx449MnPo7NmzERQUhKNHj8LBwQFr1641nHiNjIzElStXoNPp4O/vj8jISBQXFyMyMhIXL16EjY0NZs6ciSFDhlQ78ZqQkICNGzdCr9fD3t4ey5Ytg6Oj4yOzWw4YMMDCe4QaE4Y8NUoPhjORnHG4hohIxtiTJyKSMfbkiYhkjCFPRCRjDHkiIhljyBMRyRhDnohIxv4fAddtIg6ofowAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3S8dI16V7eVC"
      },
      "source": [
        "# (1.8) Violin plots"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ha1SwMC47eVE",
        "outputId": "d5c9ffe5-c53e-4e83-87fc-1913ab5e724a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "source": [
        "# A violin plot combines the benefits of the previous two plots \n",
        "#and simplifies them\n",
        "\n",
        "# Denser regions of the data are fatter, and sparser ones thinner \n",
        "#in a violin plot\n",
        "\n",
        "sns.violinplot(x=\"species\", y=\"petal_length\", data=iris, size=8)\n",
        "plt.show()"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "axQROeiL7eVK"
      },
      "source": [
        "# (1.9) Summarizing plots in english\n",
        "* Exaplain your findings/conclusions in plain english\n",
        "* Never forget your objective (the probelm you are solving) . Perform all of your EDA aligned with your objectives."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k1TGpk-77eVP"
      },
      "source": [
        "# (1.9) Multivariate probability density, contour plot.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "C9HUB0R37eVQ",
        "outputId": "92d68eb2-ce4d-419e-b171-203507a27ab9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        }
      },
      "source": [
        "#2D Density plot, contors-plot\n",
        "sns.jointplot(x=\"petal_length\", y=\"petal_width\", data=iris_setosa, kind=\"kde\");\n",
        "plt.show();\n"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "64iyVP9u7eVU"
      },
      "source": [
        "# (1.11) Exercise:\n",
        "\n",
        "1. Download Haberman Cancer Survival dataset from Kaggle. You may have to create a Kaggle account to donwload data. (https://www.kaggle.com/gilsousa/habermans-survival-data-set)\n",
        "2. Perform a similar alanlaysis as above on this dataset with the following sections:\n",
        "* High level statistics of the dataset: number of points, numer of   features, number of classes, data-points per class.\n",
        "* Explain our objective. \n",
        "* Perform Univaraite analysis(PDF, CDF, Boxplot, Voilin plots) to understand which features are useful towards classification.\n",
        "* Perform Bi-variate analysis (scatter plots, pair-plots) to see if combinations of features are useful in classfication.\n",
        "* Write your observations in english as crisply and unambigously as possible. Always quantify your results."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "B1ttMbq67eVU"
      },
      "source": [
        "iris_virginica_SW = iris_virginica.iloc[:,1]\n",
        "iris_versicolor_SW = iris_versicolor.iloc[:,1]"
      ],
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bRfRxR0X7eVX",
        "outputId": "215b91e2-52c3-4cd9-ff15-545aa42c1dcb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "from scipy import stats\n",
        "stats.ks_2samp(iris_virginica_SW, iris_versicolor_SW)"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ks_2sampResult(statistic=0.26, pvalue=0.06779471096995852)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g0mtgBgD7eVa",
        "outputId": "3894855e-4239-4d18-cb9b-e074202b30dd",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "x = stats.norm.rvs(loc=0.2, size=10)\n",
        "stats.kstest(x,'norm')"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KstestResult(statistic=0.27065424006350225, pvalue=0.3881711490869208)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KYFI7qk-7eVd",
        "outputId": "206cfde8-8051-44a9-f63b-d4d6be5c949b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "x = stats.norm.rvs(loc=0.2, size=100)\n",
        "stats.kstest(x,'norm')"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KstestResult(statistic=0.24468504041632133, pvalue=9.313063399184017e-06)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CVMtqP_h7eVh",
        "outputId": "cc258930-4671-4c3e-8ad8-db647894214a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "x = stats.norm.rvs(loc=0.2, size=1000)\n",
        "stats.kstest(x,'norm')"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KstestResult(statistic=0.07324108160598508, pvalue=4.129767474899504e-05)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Sy-AO9SZ7eVj"
      },
      "source": [
        ""
      ],
      "execution_count": 28,
      "outputs": []
    }
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}