3_4_flu.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "3.4_flu.ipynb",
      "provenance": [],
      "toc_visible": true,
      "authorship_tag": "ABX9TyNECW1f4ljB24VwM45qiKJa",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/crewtool/ibm_cloud_mimuw2020/blob/master/3_4_flu.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vGTIhooILTmS",
        "colab_type": "code",
        "outputId": "d5f14062-6c19-42af-b68e-f3e5a222bf98",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "#Data from http://wwwold.pzh.gov.pl/oldpage/epimeld/grypa/index.htm\n",
        "#Used idea from to extract data http://www.deltami.edu.pl/delta/archiwum/2019/10/2019/09/30/2019-10-delta.pdf\n",
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "df=pd.read_csv('flu.csv', sep=',')\n",
        "\n",
        "plt.plot(df.to_numpy().T.flatten() )\n",
        "df\n"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>2010</th>\n",
              "      <th>2011</th>\n",
              "      <th>2012</th>\n",
              "      <th>2013</th>\n",
              "      <th>2014</th>\n",
              "      <th>2015</th>\n",
              "      <th>2016</th>\n",
              "      <th>2017</th>\n",
              "      <th>2018</th>\n",
              "      <th>2019</th>\n",
              "      <th>2020</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>16614</td>\n",
              "      <td>24464</td>\n",
              "      <td>23418</td>\n",
              "      <td>134358</td>\n",
              "      <td>43479</td>\n",
              "      <td>57315</td>\n",
              "      <td>62716</td>\n",
              "      <td>132030</td>\n",
              "      <td>120543</td>\n",
              "      <td>115901</td>\n",
              "      <td>89211.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>15927</td>\n",
              "      <td>35888</td>\n",
              "      <td>26678</td>\n",
              "      <td>213906</td>\n",
              "      <td>62851</td>\n",
              "      <td>69312</td>\n",
              "      <td>87752</td>\n",
              "      <td>160476</td>\n",
              "      <td>155734</td>\n",
              "      <td>142768</td>\n",
              "      <td>122430.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>16607</td>\n",
              "      <td>52820</td>\n",
              "      <td>30087</td>\n",
              "      <td>209903</td>\n",
              "      <td>68099</td>\n",
              "      <td>75211</td>\n",
              "      <td>98326</td>\n",
              "      <td>228451</td>\n",
              "      <td>162975</td>\n",
              "      <td>158756</td>\n",
              "      <td>127696.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>15298</td>\n",
              "      <td>69512</td>\n",
              "      <td>36576</td>\n",
              "      <td>219511</td>\n",
              "      <td>94506</td>\n",
              "      <td>112753</td>\n",
              "      <td>118525</td>\n",
              "      <td>363583</td>\n",
              "      <td>259405</td>\n",
              "      <td>227951</td>\n",
              "      <td>204726.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>15820</td>\n",
              "      <td>69839</td>\n",
              "      <td>33003</td>\n",
              "      <td>150439</td>\n",
              "      <td>82817</td>\n",
              "      <td>128321</td>\n",
              "      <td>152666</td>\n",
              "      <td>290771</td>\n",
              "      <td>242959</td>\n",
              "      <td>236454</td>\n",
              "      <td>193482.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>16015</td>\n",
              "      <td>67827</td>\n",
              "      <td>36428</td>\n",
              "      <td>135150</td>\n",
              "      <td>86595</td>\n",
              "      <td>139877</td>\n",
              "      <td>211636</td>\n",
              "      <td>249600</td>\n",
              "      <td>271777</td>\n",
              "      <td>250131</td>\n",
              "      <td>200194.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>13345</td>\n",
              "      <td>60643</td>\n",
              "      <td>30235</td>\n",
              "      <td>109313</td>\n",
              "      <td>93722</td>\n",
              "      <td>148640</td>\n",
              "      <td>212660</td>\n",
              "      <td>192655</td>\n",
              "      <td>269682</td>\n",
              "      <td>199472</td>\n",
              "      <td>211983.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>12341</td>\n",
              "      <td>47829</td>\n",
              "      <td>34136</td>\n",
              "      <td>77151</td>\n",
              "      <td>96752</td>\n",
              "      <td>174015</td>\n",
              "      <td>187092</td>\n",
              "      <td>150952</td>\n",
              "      <td>248016</td>\n",
              "      <td>158698</td>\n",
              "      <td>215994.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>12749</td>\n",
              "      <td>51951</td>\n",
              "      <td>36059</td>\n",
              "      <td>87372</td>\n",
              "      <td>111154</td>\n",
              "      <td>178988</td>\n",
              "      <td>184161</td>\n",
              "      <td>135087</td>\n",
              "      <td>255812</td>\n",
              "      <td>155213</td>\n",
              "      <td>211572.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>16989</td>\n",
              "      <td>56969</td>\n",
              "      <td>39499</td>\n",
              "      <td>100518</td>\n",
              "      <td>116170</td>\n",
              "      <td>170181</td>\n",
              "      <td>188978</td>\n",
              "      <td>136308</td>\n",
              "      <td>264781</td>\n",
              "      <td>157867</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>12656</td>\n",
              "      <td>43141</td>\n",
              "      <td>37546</td>\n",
              "      <td>101205</td>\n",
              "      <td>114440</td>\n",
              "      <td>150372</td>\n",
              "      <td>157726</td>\n",
              "      <td>118299</td>\n",
              "      <td>206028</td>\n",
              "      <td>133758</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>15389</td>\n",
              "      <td>37318</td>\n",
              "      <td>38258</td>\n",
              "      <td>91358</td>\n",
              "      <td>114874</td>\n",
              "      <td>164030</td>\n",
              "      <td>142650</td>\n",
              "      <td>129640</td>\n",
              "      <td>187665</td>\n",
              "      <td>119224</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>8318</td>\n",
              "      <td>25775</td>\n",
              "      <td>30644</td>\n",
              "      <td>75947</td>\n",
              "      <td>88122</td>\n",
              "      <td>97544</td>\n",
              "      <td>119413</td>\n",
              "      <td>94008</td>\n",
              "      <td>126320</td>\n",
              "      <td>102173</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>8667</td>\n",
              "      <td>18358</td>\n",
              "      <td>27130</td>\n",
              "      <td>81863</td>\n",
              "      <td>80139</td>\n",
              "      <td>101467</td>\n",
              "      <td>99740</td>\n",
              "      <td>76877</td>\n",
              "      <td>103570</td>\n",
              "      <td>113081</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>7106</td>\n",
              "      <td>17871</td>\n",
              "      <td>26019</td>\n",
              "      <td>60122</td>\n",
              "      <td>55673</td>\n",
              "      <td>78583</td>\n",
              "      <td>80891</td>\n",
              "      <td>72926</td>\n",
              "      <td>89880</td>\n",
              "      <td>68094</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>7539</td>\n",
              "      <td>10658</td>\n",
              "      <td>23871</td>\n",
              "      <td>44866</td>\n",
              "      <td>49849</td>\n",
              "      <td>81764</td>\n",
              "      <td>70594</td>\n",
              "      <td>75138</td>\n",
              "      <td>81043</td>\n",
              "      <td>80861</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>6133</td>\n",
              "      <td>11074</td>\n",
              "      <td>14958</td>\n",
              "      <td>30305</td>\n",
              "      <td>47169</td>\n",
              "      <td>54968</td>\n",
              "      <td>64116</td>\n",
              "      <td>54882</td>\n",
              "      <td>50979</td>\n",
              "      <td>45834</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>6013</td>\n",
              "      <td>9866</td>\n",
              "      <td>18206</td>\n",
              "      <td>33372</td>\n",
              "      <td>48287</td>\n",
              "      <td>61028</td>\n",
              "      <td>55706</td>\n",
              "      <td>69869</td>\n",
              "      <td>59938</td>\n",
              "      <td>59157</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>18</th>\n",
              "      <td>6870</td>\n",
              "      <td>9639</td>\n",
              "      <td>14762</td>\n",
              "      <td>28421</td>\n",
              "      <td>43147</td>\n",
              "      <td>58977</td>\n",
              "      <td>53407</td>\n",
              "      <td>60316</td>\n",
              "      <td>48789</td>\n",
              "      <td>58583</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>19</th>\n",
              "      <td>7417</td>\n",
              "      <td>10810</td>\n",
              "      <td>19478</td>\n",
              "      <td>33776</td>\n",
              "      <td>49070</td>\n",
              "      <td>55195</td>\n",
              "      <td>60008</td>\n",
              "      <td>72326</td>\n",
              "      <td>51251</td>\n",
              "      <td>77873</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>6640</td>\n",
              "      <td>7986</td>\n",
              "      <td>15333</td>\n",
              "      <td>31103</td>\n",
              "      <td>43614</td>\n",
              "      <td>47921</td>\n",
              "      <td>44097</td>\n",
              "      <td>58069</td>\n",
              "      <td>55843</td>\n",
              "      <td>60809</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>6899</td>\n",
              "      <td>8272</td>\n",
              "      <td>20650</td>\n",
              "      <td>28628</td>\n",
              "      <td>40674</td>\n",
              "      <td>53452</td>\n",
              "      <td>43085</td>\n",
              "      <td>48161</td>\n",
              "      <td>53833</td>\n",
              "      <td>49088</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>22</th>\n",
              "      <td>5534</td>\n",
              "      <td>7173</td>\n",
              "      <td>19476</td>\n",
              "      <td>28363</td>\n",
              "      <td>34892</td>\n",
              "      <td>45721</td>\n",
              "      <td>40342</td>\n",
              "      <td>49848</td>\n",
              "      <td>46153</td>\n",
              "      <td>40785</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>23</th>\n",
              "      <td>5600</td>\n",
              "      <td>7665</td>\n",
              "      <td>17456</td>\n",
              "      <td>26616</td>\n",
              "      <td>42247</td>\n",
              "      <td>44090</td>\n",
              "      <td>40443</td>\n",
              "      <td>48470</td>\n",
              "      <td>45217</td>\n",
              "      <td>39564</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>24</th>\n",
              "      <td>5408</td>\n",
              "      <td>5801</td>\n",
              "      <td>18134</td>\n",
              "      <td>22480</td>\n",
              "      <td>35353</td>\n",
              "      <td>38012</td>\n",
              "      <td>34510</td>\n",
              "      <td>41274</td>\n",
              "      <td>42697</td>\n",
              "      <td>37794</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25</th>\n",
              "      <td>3166</td>\n",
              "      <td>5263</td>\n",
              "      <td>10005</td>\n",
              "      <td>24834</td>\n",
              "      <td>32122</td>\n",
              "      <td>33610</td>\n",
              "      <td>31888</td>\n",
              "      <td>35955</td>\n",
              "      <td>36178</td>\n",
              "      <td>36789</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>26</th>\n",
              "      <td>2570</td>\n",
              "      <td>4224</td>\n",
              "      <td>9975</td>\n",
              "      <td>18950</td>\n",
              "      <td>25750</td>\n",
              "      <td>26178</td>\n",
              "      <td>28019</td>\n",
              "      <td>32931</td>\n",
              "      <td>32440</td>\n",
              "      <td>31368</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>27</th>\n",
              "      <td>2432</td>\n",
              "      <td>3812</td>\n",
              "      <td>10698</td>\n",
              "      <td>18614</td>\n",
              "      <td>24170</td>\n",
              "      <td>27551</td>\n",
              "      <td>24929</td>\n",
              "      <td>36527</td>\n",
              "      <td>34364</td>\n",
              "      <td>35254</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>28</th>\n",
              "      <td>2351</td>\n",
              "      <td>3907</td>\n",
              "      <td>8053</td>\n",
              "      <td>12487</td>\n",
              "      <td>18664</td>\n",
              "      <td>19668</td>\n",
              "      <td>25156</td>\n",
              "      <td>28523</td>\n",
              "      <td>24946</td>\n",
              "      <td>27541</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>29</th>\n",
              "      <td>2382</td>\n",
              "      <td>3221</td>\n",
              "      <td>7118</td>\n",
              "      <td>10904</td>\n",
              "      <td>17615</td>\n",
              "      <td>17407</td>\n",
              "      <td>22804</td>\n",
              "      <td>24447</td>\n",
              "      <td>21560</td>\n",
              "      <td>23819</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>30</th>\n",
              "      <td>1806</td>\n",
              "      <td>3746</td>\n",
              "      <td>7741</td>\n",
              "      <td>11055</td>\n",
              "      <td>17962</td>\n",
              "      <td>20332</td>\n",
              "      <td>25887</td>\n",
              "      <td>27948</td>\n",
              "      <td>22428</td>\n",
              "      <td>25164</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>31</th>\n",
              "      <td>2929</td>\n",
              "      <td>4157</td>\n",
              "      <td>9932</td>\n",
              "      <td>15220</td>\n",
              "      <td>18911</td>\n",
              "      <td>22427</td>\n",
              "      <td>34234</td>\n",
              "      <td>36759</td>\n",
              "      <td>32946</td>\n",
              "      <td>28457</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>32</th>\n",
              "      <td>3604</td>\n",
              "      <td>5000</td>\n",
              "      <td>10530</td>\n",
              "      <td>16193</td>\n",
              "      <td>22063</td>\n",
              "      <td>24242</td>\n",
              "      <td>33441</td>\n",
              "      <td>38033</td>\n",
              "      <td>33942</td>\n",
              "      <td>29553</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>33</th>\n",
              "      <td>6892</td>\n",
              "      <td>10313</td>\n",
              "      <td>14375</td>\n",
              "      <td>29241</td>\n",
              "      <td>48622</td>\n",
              "      <td>49761</td>\n",
              "      <td>55296</td>\n",
              "      <td>75685</td>\n",
              "      <td>54848</td>\n",
              "      <td>54216</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>34</th>\n",
              "      <td>10398</td>\n",
              "      <td>12851</td>\n",
              "      <td>23150</td>\n",
              "      <td>39036</td>\n",
              "      <td>57551</td>\n",
              "      <td>59232</td>\n",
              "      <td>67034</td>\n",
              "      <td>101105</td>\n",
              "      <td>73468</td>\n",
              "      <td>87589</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>35</th>\n",
              "      <td>12631</td>\n",
              "      <td>17021</td>\n",
              "      <td>27864</td>\n",
              "      <td>60162</td>\n",
              "      <td>70439</td>\n",
              "      <td>71385</td>\n",
              "      <td>86575</td>\n",
              "      <td>107609</td>\n",
              "      <td>81860</td>\n",
              "      <td>115689</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>36</th>\n",
              "      <td>15750</td>\n",
              "      <td>19379</td>\n",
              "      <td>34232</td>\n",
              "      <td>62488</td>\n",
              "      <td>72470</td>\n",
              "      <td>78697</td>\n",
              "      <td>79616</td>\n",
              "      <td>105347</td>\n",
              "      <td>91078</td>\n",
              "      <td>111154</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>37</th>\n",
              "      <td>19872</td>\n",
              "      <td>20987</td>\n",
              "      <td>45357</td>\n",
              "      <td>60656</td>\n",
              "      <td>82198</td>\n",
              "      <td>88680</td>\n",
              "      <td>82498</td>\n",
              "      <td>115232</td>\n",
              "      <td>106831</td>\n",
              "      <td>117374</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>38</th>\n",
              "      <td>18634</td>\n",
              "      <td>25403</td>\n",
              "      <td>43668</td>\n",
              "      <td>59200</td>\n",
              "      <td>79154</td>\n",
              "      <td>86273</td>\n",
              "      <td>95030</td>\n",
              "      <td>105491</td>\n",
              "      <td>95948</td>\n",
              "      <td>112264</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>39</th>\n",
              "      <td>18753</td>\n",
              "      <td>26956</td>\n",
              "      <td>56433</td>\n",
              "      <td>63941</td>\n",
              "      <td>97754</td>\n",
              "      <td>100990</td>\n",
              "      <td>109214</td>\n",
              "      <td>132239</td>\n",
              "      <td>106851</td>\n",
              "      <td>129806</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40</th>\n",
              "      <td>16372</td>\n",
              "      <td>23968</td>\n",
              "      <td>46712</td>\n",
              "      <td>52107</td>\n",
              "      <td>73896</td>\n",
              "      <td>90190</td>\n",
              "      <td>93899</td>\n",
              "      <td>103003</td>\n",
              "      <td>96062</td>\n",
              "      <td>93602</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>41</th>\n",
              "      <td>18387</td>\n",
              "      <td>23564</td>\n",
              "      <td>50854</td>\n",
              "      <td>56003</td>\n",
              "      <td>79554</td>\n",
              "      <td>80998</td>\n",
              "      <td>102172</td>\n",
              "      <td>118552</td>\n",
              "      <td>95589</td>\n",
              "      <td>110629</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>42</th>\n",
              "      <td>14448</td>\n",
              "      <td>24883</td>\n",
              "      <td>47865</td>\n",
              "      <td>56685</td>\n",
              "      <td>81710</td>\n",
              "      <td>79420</td>\n",
              "      <td>98342</td>\n",
              "      <td>112558</td>\n",
              "      <td>99355</td>\n",
              "      <td>106546</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>43</th>\n",
              "      <td>20848</td>\n",
              "      <td>28483</td>\n",
              "      <td>58867</td>\n",
              "      <td>57562</td>\n",
              "      <td>86446</td>\n",
              "      <td>94722</td>\n",
              "      <td>111852</td>\n",
              "      <td>126522</td>\n",
              "      <td>125794</td>\n",
              "      <td>112575</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>19792</td>\n",
              "      <td>27421</td>\n",
              "      <td>58130</td>\n",
              "      <td>61116</td>\n",
              "      <td>87006</td>\n",
              "      <td>92158</td>\n",
              "      <td>108593</td>\n",
              "      <td>121174</td>\n",
              "      <td>117370</td>\n",
              "      <td>115623</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>45</th>\n",
              "      <td>23899</td>\n",
              "      <td>31957</td>\n",
              "      <td>61968</td>\n",
              "      <td>63501</td>\n",
              "      <td>108325</td>\n",
              "      <td>96107</td>\n",
              "      <td>121618</td>\n",
              "      <td>137784</td>\n",
              "      <td>125159</td>\n",
              "      <td>124181</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>46</th>\n",
              "      <td>21455</td>\n",
              "      <td>29291</td>\n",
              "      <td>62147</td>\n",
              "      <td>64135</td>\n",
              "      <td>86331</td>\n",
              "      <td>86764</td>\n",
              "      <td>114838</td>\n",
              "      <td>119744</td>\n",
              "      <td>124773</td>\n",
              "      <td>130460</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>47</th>\n",
              "      <td>23177</td>\n",
              "      <td>27872</td>\n",
              "      <td>78779</td>\n",
              "      <td>60608</td>\n",
              "      <td>82144</td>\n",
              "      <td>85575</td>\n",
              "      <td>145900</td>\n",
              "      <td>90103</td>\n",
              "      <td>104905</td>\n",
              "      <td>138171</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     2010   2011   2012    2013  ...    2017    2018    2019      2020\n",
              "0   16614  24464  23418  134358  ...  132030  120543  115901   89211.0\n",
              "1   15927  35888  26678  213906  ...  160476  155734  142768  122430.0\n",
              "2   16607  52820  30087  209903  ...  228451  162975  158756  127696.0\n",
              "3   15298  69512  36576  219511  ...  363583  259405  227951  204726.0\n",
              "4   15820  69839  33003  150439  ...  290771  242959  236454  193482.0\n",
              "5   16015  67827  36428  135150  ...  249600  271777  250131  200194.0\n",
              "6   13345  60643  30235  109313  ...  192655  269682  199472  211983.0\n",
              "7   12341  47829  34136   77151  ...  150952  248016  158698  215994.0\n",
              "8   12749  51951  36059   87372  ...  135087  255812  155213  211572.0\n",
              "9   16989  56969  39499  100518  ...  136308  264781  157867       NaN\n",
              "10  12656  43141  37546  101205  ...  118299  206028  133758       NaN\n",
              "11  15389  37318  38258   91358  ...  129640  187665  119224       NaN\n",
              "12   8318  25775  30644   75947  ...   94008  126320  102173       NaN\n",
              "13   8667  18358  27130   81863  ...   76877  103570  113081       NaN\n",
              "14   7106  17871  26019   60122  ...   72926   89880   68094       NaN\n",
              "15   7539  10658  23871   44866  ...   75138   81043   80861       NaN\n",
              "16   6133  11074  14958   30305  ...   54882   50979   45834       NaN\n",
              "17   6013   9866  18206   33372  ...   69869   59938   59157       NaN\n",
              "18   6870   9639  14762   28421  ...   60316   48789   58583       NaN\n",
              "19   7417  10810  19478   33776  ...   72326   51251   77873       NaN\n",
              "20   6640   7986  15333   31103  ...   58069   55843   60809       NaN\n",
              "21   6899   8272  20650   28628  ...   48161   53833   49088       NaN\n",
              "22   5534   7173  19476   28363  ...   49848   46153   40785       NaN\n",
              "23   5600   7665  17456   26616  ...   48470   45217   39564       NaN\n",
              "24   5408   5801  18134   22480  ...   41274   42697   37794       NaN\n",
              "25   3166   5263  10005   24834  ...   35955   36178   36789       NaN\n",
              "26   2570   4224   9975   18950  ...   32931   32440   31368       NaN\n",
              "27   2432   3812  10698   18614  ...   36527   34364   35254       NaN\n",
              "28   2351   3907   8053   12487  ...   28523   24946   27541       NaN\n",
              "29   2382   3221   7118   10904  ...   24447   21560   23819       NaN\n",
              "30   1806   3746   7741   11055  ...   27948   22428   25164       NaN\n",
              "31   2929   4157   9932   15220  ...   36759   32946   28457       NaN\n",
              "32   3604   5000  10530   16193  ...   38033   33942   29553       NaN\n",
              "33   6892  10313  14375   29241  ...   75685   54848   54216       NaN\n",
              "34  10398  12851  23150   39036  ...  101105   73468   87589       NaN\n",
              "35  12631  17021  27864   60162  ...  107609   81860  115689       NaN\n",
              "36  15750  19379  34232   62488  ...  105347   91078  111154       NaN\n",
              "37  19872  20987  45357   60656  ...  115232  106831  117374       NaN\n",
              "38  18634  25403  43668   59200  ...  105491   95948  112264       NaN\n",
              "39  18753  26956  56433   63941  ...  132239  106851  129806       NaN\n",
              "40  16372  23968  46712   52107  ...  103003   96062   93602       NaN\n",
              "41  18387  23564  50854   56003  ...  118552   95589  110629       NaN\n",
              "42  14448  24883  47865   56685  ...  112558   99355  106546       NaN\n",
              "43  20848  28483  58867   57562  ...  126522  125794  112575       NaN\n",
              "44  19792  27421  58130   61116  ...  121174  117370  115623       NaN\n",
              "45  23899  31957  61968   63501  ...  137784  125159  124181       NaN\n",
              "46  21455  29291  62147   64135  ...  119744  124773  130460       NaN\n",
              "47  23177  27872  78779   60608  ...   90103  104905  138171       NaN\n",
              "\n",
              "[48 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 2
        },
        {
          "output_type": "display_data",
          "data": {
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Ze6NZ7GkfoDISsDr0TSRhYTC4ibP2f2N1eEqZoVp7hjh+8Yz063DQO1u6TbZm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\neAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5YJRjTDsLtdU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def KMcK(a, b, S_1, I_1, R_1, n):\n",
        "    S = [S_1]\n",
        "    I = [I_1]\n",
        "    R = [R_1]\n",
        "\n",
        "    b = b[0]\n",
        " \n",
        "    for t in range(n-1):\n",
        "        S.append( (S[t] - b * I[t] * S[t]))\n",
        "        I.append( (I[t] + b * I[t] * S[t] - a * I[t]))\n",
        "        R.append( R[t] + a * I[t])\n",
        "    return np.array(S), np.array(I), np.array(R) "
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-Cg03Zs9LWli",
        "colab_type": "code",
        "outputId": "58c313bc-4591-4557-e00b-4eab3cc8a274",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "def predict_with_KMcK(b,start):\n",
        "  a = 0.4\n",
        "  population  = 38000000\n",
        "  S, I, R = KMcK(a,b, population - start , start, 0, 12)\n",
        "  return I\n",
        "  \n",
        "from scipy.optimize import leastsq\n",
        "\n",
        "q2 = df.drop('2020', axis=1)[9:21]\n",
        "def year(y):\n",
        "  return ( lambda b: (predict_with_KMcK(b,np.array(q2[str(y)])[0]) - q2[str(y)]) ) \n",
        "\n",
        "\n",
        "bs = []\n",
        "for y in range(2010, 2020):\n",
        "  bs.append( leastsq(year(y), 0)[0] )\n",
        "\n",
        "average = np.average(bs)\n",
        "start = round( np.array(df['2020'])[8] )\n",
        "\n",
        "predicted = predict_with_KMcK( [average], int(start) )\n",
        "\n",
        "predicted = np.array( [ round(x) for x in predicted] )\n",
        "\n",
        "plt.plot(df.to_numpy().T.flatten())\n",
        "plt.plot(range(488,500),predicted)\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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qmVpfwdT6oY2OchHy+xiI5W91T5Z118L00c+eV/iNQ5XWdEZbSCil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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MU5ZvwePcso-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}