diff --git a/module2/exo5/exo5_fr.ipynb b/module2/exo5/exo5_fr.ipynb index 9ef3a9a2374d34b47da1f8f38d1301d8afdcd41e..cffd77d7da83579a1f67b58c4be98a22115c85b6 100644 --- a/module2/exo5/exo5_fr.ipynb +++ b/module2/exo5/exo5_fr.ipynb @@ -721,6 +721,150 @@ "Les matériaux de type caoutchouc, comme beaucoup d'autres, voient leurs caractéristiques mécaniques diminuées lorsque la température augmente (avec parfois des effets de seuils importants). Des effets similaires sont observables à basse température. Notamment pour des matériaux souples qui vont progressivement durcir et moins bien résister à mesure que la température diminue. Leur fragilité est extrême au-dessous de certaines températures. Il est étonnant que les essais n'aient pas tenté de trouver un point d'inflexion dans une gamme de températures tout à fait courantes sur terre. En effet, les essais n'ont couvert que la gamme 11°C à 27°C au lieu de, par exemple, -15°C à +40°C au minimum. Des essais classiques d'équipements aéronautiques couvrent la gamme -40°C à +85°C et cela peut être plus large pour certains équipements spatiaux." ] }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "data = pd.read_csv(\"shuttle.csv\")\n", + "\n", + "%matplotlib inline\n", + "pd.set_option('mode.chained_assignment',None) # this removes a useless warning from pandas\n", + "import matplotlib.pyplot as plt\n", + "\n", + "data[\"Frequency\"]=data.Malfunction/data.Count\n", + "data.plot(x=\"Temperature\",y=\"Frequency\",kind=\"scatter\",ylim=[0,1])\n", + "plt.grid(True)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Generalized Linear Model Regression Results
Dep. Variable: Frequency No. Observations: 23
Model: GLM Df Residuals: 21
Model Family: Binomial Df Model: 1
Link Function: logit Scale: 1.0000
Method: IRLS Log-Likelihood: -3.9210
Date: Fri, 25 Sep 2020 Deviance: 3.0144
Time: 14:26:10 Pearson chi2: 5.00
No. Iterations: 6 Covariance Type: nonrobust
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err z P>|z| [0.025 0.975]
Intercept 5.0850 7.477 0.680 0.496 -9.570 19.740
Temperature -0.1156 0.115 -1.004 0.316 -0.341 0.110
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: Frequency No. Observations: 23\n", + "Model: GLM Df Residuals: 21\n", + "Model Family: Binomial Df Model: 1\n", + "Link Function: logit Scale: 1.0000\n", + "Method: IRLS Log-Likelihood: -3.9210\n", + "Date: Fri, 25 Sep 2020 Deviance: 3.0144\n", + "Time: 14:26:10 Pearson chi2: 5.00\n", + "No. Iterations: 6 Covariance Type: nonrobust\n", + "===============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "-------------------------------------------------------------------------------\n", + "Intercept 5.0850 7.477 0.680 0.496 -9.570 19.740\n", + "Temperature -0.1156 0.115 -1.004 0.316 -0.341 0.110\n", + "===============================================================================\n", + "\"\"\"" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import statsmodels.api as sm\n", + "\n", + "data[\"Success\"]=data.Count-data.Malfunction\n", + "data[\"Intercept\"]=1\n", + "\n", + "logmodel=sm.GLM(data['Frequency'], data[['Intercept','Temperature']], family=sm.families.Binomial(sm.families.links.logit)).fit()\n", + "\n", + "logmodel.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "data_pred = pd.DataFrame({'Temperature': np.linspace(start=30, stop=90, num=121), 'Intercept': 1})\n", + "data_pred['Frequency'] = logmodel.predict(data_pred[['Intercept','Temperature']])\n", + "data_pred.plot(x=\"Temperature\",y=\"Frequency\",kind=\"line\",ylim=[0,1])\n", + "plt.scatter(x=data[\"Temperature\"],y=data[\"Frequency\"])\n", + "plt.grid(True)" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/module3/exo1/analyse-syndrome-grippal.ipynb b/module3/exo1/analyse-syndrome-grippal.ipynb index 59d72b5b58a3ae26346460dd39e62a39c55243d7..d6b93d151e5a3b3594cbf6be1eac2e9355986efd 100644 --- a/module3/exo1/analyse-syndrome-grippal.ipynb +++ b/module3/exo1/analyse-syndrome-grippal.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -28,13 +28,64 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ - "data_url = \"http://www.sentiweb.fr/datasets/incidence-PAY-3.csv\"" + "data_url = \"https://www.sentiweb.fr/datasets/incidence-PAY-3.csv\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour se prémunir des évolutions du chemin d'accès aux données, une copie est réalisée en local." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "incidence-PAY-3.csv\n" + ] + } + ], + "source": [ + "# Extraire le nom du fichier à rechercher dans le répertoire courant.\n", + "data_url_split = data_url.strip().split('/')\n", + "nom_fich = data_url_split[len(data_url_split)-1:len(data_url_split)]\n", + "print(nom_fich[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Les données sont présentes dans le répertoire.\n" + ] + } + ], + "source": [ + "# Vérifier la présence du fichier dans le répertoire courant.\n", + "try:\n", + " with open(nom_fich[0], \"r\", encoding='utf-8') as entree:\n", + " pass\n", + "except FileNotFoundError as e:\n", + " raw_data = pd.read_csv(data_url, skiprows=1)\n", + " raw_data.to_csv(nom_fich[0])\n", + " print('Les données ont été copiées dans le répertoire.')\n", + "else:\n", + " print('Les données sont présentes dans le répertoire.')" ] }, { @@ -61,9 +112,976 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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.................................
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1874 rows × 10 columns

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" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202039 3 26891 21449.0 32333.0 41 33.0 \n", + "1 202038 3 25578 21135.0 30021.0 39 32.0 \n", + "2 202037 3 18485 14649.0 22321.0 28 22.0 \n", + "3 202036 3 10390 7646.0 13134.0 16 12.0 \n", + "4 202035 3 9918 6842.0 12994.0 15 10.0 \n", + "5 202034 3 6084 3090.0 9078.0 9 4.0 \n", + "6 202033 3 6106 3411.0 8801.0 9 5.0 \n", + "7 202032 3 5918 3330.0 8506.0 9 5.0 \n", + "8 202031 3 4351 2269.0 6433.0 7 4.0 \n", + "9 202030 3 8179 5442.0 10916.0 12 8.0 \n", + "10 202029 3 8687 5860.0 11514.0 13 9.0 \n", + "11 202028 3 8340 5701.0 10979.0 13 9.0 \n", + "12 202027 3 4066 2406.0 5726.0 6 3.0 \n", + "13 202026 3 4039 2389.0 5689.0 6 3.0 \n", + "14 202025 3 2853 1488.0 4218.0 4 2.0 \n", + "15 202024 3 3058 1690.0 4426.0 5 3.0 \n", + "16 202023 3 4168 2468.0 5868.0 6 3.0 \n", + "17 202022 3 3580 1947.0 5213.0 5 3.0 \n", + "18 202021 3 6114 4026.0 8202.0 9 6.0 \n", + "19 202020 3 9315 6775.0 11855.0 14 10.0 \n", + "20 202019 3 11679 8722.0 14636.0 18 14.0 \n", + "21 202018 3 16398 12851.0 19945.0 25 20.0 \n", + "22 202017 3 18082 14454.0 21710.0 27 21.0 \n", + "23 202016 3 24165 19893.0 28437.0 37 31.0 \n", + "24 202015 3 41049 35377.0 46721.0 62 53.0 \n", + "25 202014 3 71666 64531.0 78801.0 109 98.0 \n", + "26 202013 3 107742 99187.0 116297.0 164 151.0 \n", + "27 202012 3 107283 98610.0 115956.0 163 150.0 \n", + "28 202011 3 101704 93652.0 109756.0 154 142.0 \n", + "29 202010 3 104977 96650.0 113304.0 159 146.0 \n", + "... ... ... ... ... ... ... ... \n", + "1844 198521 3 26096 19621.0 32571.0 47 35.0 \n", + "1845 198520 3 27896 20885.0 34907.0 51 38.0 \n", + "1846 198519 3 43154 32821.0 53487.0 78 59.0 \n", + "1847 198518 3 40555 29935.0 51175.0 74 55.0 \n", + "1848 198517 3 34053 24366.0 43740.0 62 44.0 \n", + "1849 198516 3 50362 36451.0 64273.0 91 66.0 \n", + "1850 198515 3 63881 45538.0 82224.0 116 83.0 \n", + "1851 198514 3 134545 114400.0 154690.0 244 207.0 \n", + "1852 198513 3 197206 176080.0 218332.0 357 319.0 \n", + "1853 198512 3 245240 223304.0 267176.0 445 405.0 \n", + "1854 198511 3 276205 252399.0 300011.0 501 458.0 \n", + "1855 198510 3 353231 326279.0 380183.0 640 591.0 \n", + "1856 198509 3 369895 341109.0 398681.0 670 618.0 \n", + "1857 198508 3 389886 359529.0 420243.0 707 652.0 \n", + "1858 198507 3 471852 432599.0 511105.0 855 784.0 \n", + "1859 198506 3 565825 518011.0 613639.0 1026 939.0 \n", + "1860 198505 3 637302 592795.0 681809.0 1155 1074.0 \n", + "1861 198504 3 424937 390794.0 459080.0 770 708.0 \n", + "1862 198503 3 213901 174689.0 253113.0 388 317.0 \n", + "1863 198502 3 97586 80949.0 114223.0 177 147.0 \n", + "1864 198501 3 85489 65918.0 105060.0 155 120.0 \n", + "1865 198452 3 84830 60602.0 109058.0 154 110.0 \n", + "1866 198451 3 101726 80242.0 123210.0 185 146.0 \n", + "1867 198450 3 123680 101401.0 145959.0 225 184.0 \n", + "1868 198449 3 101073 81684.0 120462.0 184 149.0 \n", + "1869 198448 3 78620 60634.0 96606.0 143 110.0 \n", + "1870 198447 3 72029 54274.0 89784.0 131 99.0 \n", + "1871 198446 3 87330 67686.0 106974.0 159 123.0 \n", + "1872 198445 3 135223 101414.0 169032.0 246 184.0 \n", + "1873 198444 3 68422 20056.0 116788.0 125 37.0 \n", + "\n", + " inc100_up geo_insee geo_name \n", + "0 49.0 FR France \n", + "1 46.0 FR France \n", + "2 34.0 FR France \n", + "3 20.0 FR France \n", + "4 20.0 FR France \n", + "5 14.0 FR France \n", + "6 13.0 FR France \n", + "7 13.0 FR France \n", + "8 10.0 FR France \n", + "9 16.0 FR France \n", + "10 17.0 FR France \n", + "11 17.0 FR France \n", + "12 9.0 FR France \n", + "13 9.0 FR France \n", + "14 6.0 FR France \n", + "15 7.0 FR France \n", + "16 9.0 FR France \n", + "17 7.0 FR France \n", + "18 12.0 FR France \n", + "19 18.0 FR France \n", + "20 22.0 FR France \n", + "21 30.0 FR France \n", + "22 33.0 FR France \n", + "23 43.0 FR France \n", + "24 71.0 FR France \n", + "25 120.0 FR France \n", + "26 177.0 FR France \n", + "27 176.0 FR France \n", + "28 166.0 FR France \n", + "29 172.0 FR France \n", + "... ... ... ... \n", + "1844 59.0 FR France \n", + "1845 64.0 FR France \n", + "1846 97.0 FR France \n", + "1847 93.0 FR France \n", + "1848 80.0 FR France \n", + "1849 116.0 FR France \n", + "1850 149.0 FR France \n", + "1851 281.0 FR France \n", + "1852 395.0 FR France \n", + "1853 485.0 FR France \n", + "1854 544.0 FR France \n", + "1855 689.0 FR France \n", + "1856 722.0 FR France \n", + "1857 762.0 FR France \n", + "1858 926.0 FR France \n", + "1859 1113.0 FR France \n", + "1860 1236.0 FR France \n", + "1861 832.0 FR France \n", + "1862 459.0 FR France \n", + "1863 207.0 FR France \n", + "1864 190.0 FR France \n", + "1865 198.0 FR France \n", + "1866 224.0 FR France \n", + "1867 266.0 FR France \n", + "1868 219.0 FR France \n", + "1869 176.0 FR France \n", + "1870 163.0 FR France \n", + "1871 195.0 FR France \n", + "1872 308.0 FR France \n", + "1873 213.0 FR France \n", + "\n", + "[1874 rows x 10 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "raw_data = pd.read_csv(data_url, skiprows=1)\n", "raw_data" @@ -78,9 +1096,73 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_name
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2420201534104935377.046721.06253.071.0FRFrance
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28202011310170493652.0109756.0154142.0166.0FRFrance
29202010310497796650.0113304.0159146.0172.0FRFrance
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1868198449310107381684.0120462.0184149.0219.0FRFrance
186919844837862060634.096606.0143110.0176.0FRFrance
187019844737202954274.089784.013199.0163.0FRFrance
187119844638733067686.0106974.0159123.0195.0FRFrance
18721984453135223101414.0169032.0246184.0308.0FRFrance
187319844436842220056.0116788.012537.0213.0FRFrance
\n", + "

1873 rows × 10 columns

\n", + "
" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202039 3 26891 21449.0 32333.0 41 33.0 \n", + "1 202038 3 25578 21135.0 30021.0 39 32.0 \n", + "2 202037 3 18485 14649.0 22321.0 28 22.0 \n", + "3 202036 3 10390 7646.0 13134.0 16 12.0 \n", + "4 202035 3 9918 6842.0 12994.0 15 10.0 \n", + "5 202034 3 6084 3090.0 9078.0 9 4.0 \n", + "6 202033 3 6106 3411.0 8801.0 9 5.0 \n", + "7 202032 3 5918 3330.0 8506.0 9 5.0 \n", + "8 202031 3 4351 2269.0 6433.0 7 4.0 \n", + "9 202030 3 8179 5442.0 10916.0 12 8.0 \n", + "10 202029 3 8687 5860.0 11514.0 13 9.0 \n", + "11 202028 3 8340 5701.0 10979.0 13 9.0 \n", + "12 202027 3 4066 2406.0 5726.0 6 3.0 \n", + "13 202026 3 4039 2389.0 5689.0 6 3.0 \n", + "14 202025 3 2853 1488.0 4218.0 4 2.0 \n", + "15 202024 3 3058 1690.0 4426.0 5 3.0 \n", + "16 202023 3 4168 2468.0 5868.0 6 3.0 \n", + "17 202022 3 3580 1947.0 5213.0 5 3.0 \n", + "18 202021 3 6114 4026.0 8202.0 9 6.0 \n", + "19 202020 3 9315 6775.0 11855.0 14 10.0 \n", + "20 202019 3 11679 8722.0 14636.0 18 14.0 \n", + "21 202018 3 16398 12851.0 19945.0 25 20.0 \n", + "22 202017 3 18082 14454.0 21710.0 27 21.0 \n", + "23 202016 3 24165 19893.0 28437.0 37 31.0 \n", + "24 202015 3 41049 35377.0 46721.0 62 53.0 \n", + "25 202014 3 71666 64531.0 78801.0 109 98.0 \n", + "26 202013 3 107742 99187.0 116297.0 164 151.0 \n", + "27 202012 3 107283 98610.0 115956.0 163 150.0 \n", + "28 202011 3 101704 93652.0 109756.0 154 142.0 \n", + "29 202010 3 104977 96650.0 113304.0 159 146.0 \n", + "... ... ... ... ... ... ... ... \n", + "1844 198521 3 26096 19621.0 32571.0 47 35.0 \n", + "1845 198520 3 27896 20885.0 34907.0 51 38.0 \n", + "1846 198519 3 43154 32821.0 53487.0 78 59.0 \n", + "1847 198518 3 40555 29935.0 51175.0 74 55.0 \n", + "1848 198517 3 34053 24366.0 43740.0 62 44.0 \n", + "1849 198516 3 50362 36451.0 64273.0 91 66.0 \n", + "1850 198515 3 63881 45538.0 82224.0 116 83.0 \n", + "1851 198514 3 134545 114400.0 154690.0 244 207.0 \n", + "1852 198513 3 197206 176080.0 218332.0 357 319.0 \n", + "1853 198512 3 245240 223304.0 267176.0 445 405.0 \n", + "1854 198511 3 276205 252399.0 300011.0 501 458.0 \n", + "1855 198510 3 353231 326279.0 380183.0 640 591.0 \n", + "1856 198509 3 369895 341109.0 398681.0 670 618.0 \n", + "1857 198508 3 389886 359529.0 420243.0 707 652.0 \n", + "1858 198507 3 471852 432599.0 511105.0 855 784.0 \n", + "1859 198506 3 565825 518011.0 613639.0 1026 939.0 \n", + "1860 198505 3 637302 592795.0 681809.0 1155 1074.0 \n", + "1861 198504 3 424937 390794.0 459080.0 770 708.0 \n", + "1862 198503 3 213901 174689.0 253113.0 388 317.0 \n", + "1863 198502 3 97586 80949.0 114223.0 177 147.0 \n", + "1864 198501 3 85489 65918.0 105060.0 155 120.0 \n", + "1865 198452 3 84830 60602.0 109058.0 154 110.0 \n", + "1866 198451 3 101726 80242.0 123210.0 185 146.0 \n", + "1867 198450 3 123680 101401.0 145959.0 225 184.0 \n", + "1868 198449 3 101073 81684.0 120462.0 184 149.0 \n", + "1869 198448 3 78620 60634.0 96606.0 143 110.0 \n", + "1870 198447 3 72029 54274.0 89784.0 131 99.0 \n", + "1871 198446 3 87330 67686.0 106974.0 159 123.0 \n", + "1872 198445 3 135223 101414.0 169032.0 246 184.0 \n", + "1873 198444 3 68422 20056.0 116788.0 125 37.0 \n", + "\n", + " inc100_up geo_insee geo_name \n", + "0 49.0 FR France \n", + "1 46.0 FR France \n", + "2 34.0 FR France \n", + "3 20.0 FR France \n", + "4 20.0 FR France \n", + "5 14.0 FR France \n", + "6 13.0 FR France \n", + "7 13.0 FR France \n", + "8 10.0 FR France \n", + "9 16.0 FR France \n", + "10 17.0 FR France \n", + "11 17.0 FR France \n", + "12 9.0 FR France \n", + "13 9.0 FR France \n", + "14 6.0 FR France \n", + "15 7.0 FR France \n", + "16 9.0 FR France \n", + "17 7.0 FR France \n", + "18 12.0 FR France \n", + "19 18.0 FR France \n", + "20 22.0 FR France \n", + "21 30.0 FR France \n", + "22 33.0 FR France \n", + "23 43.0 FR France \n", + "24 71.0 FR France \n", + "25 120.0 FR France \n", + "26 177.0 FR France \n", + "27 176.0 FR France \n", + "28 166.0 FR France \n", + "29 172.0 FR France \n", + "... ... ... ... \n", + "1844 59.0 FR France \n", + "1845 64.0 FR France \n", + "1846 97.0 FR France \n", + "1847 93.0 FR France \n", + "1848 80.0 FR France \n", + "1849 116.0 FR France \n", + "1850 149.0 FR France \n", + "1851 281.0 FR France \n", + "1852 395.0 FR France \n", + "1853 485.0 FR France \n", + "1854 544.0 FR France \n", + "1855 689.0 FR France \n", + "1856 722.0 FR France \n", + "1857 762.0 FR France \n", + "1858 926.0 FR France \n", + "1859 1113.0 FR France \n", + "1860 1236.0 FR France \n", + "1861 832.0 FR France \n", + "1862 459.0 FR France \n", + "1863 207.0 FR France \n", + "1864 190.0 FR France \n", + "1865 198.0 FR France \n", + "1866 224.0 FR France \n", + "1867 266.0 FR France \n", + "1868 219.0 FR France \n", + "1869 176.0 FR France \n", + "1870 163.0 FR France \n", + "1871 195.0 FR France \n", + "1872 308.0 FR France \n", + "1873 213.0 FR France \n", + "\n", + "[1873 rows x 10 columns]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "data = raw_data.dropna().copy()\n", "data" @@ -122,7 +2171,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -152,10 +2201,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ "sorted_data = data.set_index('period').sort_index()" @@ -179,9 +2226,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1989-05-01/1989-05-07 1989-05-15/1989-05-21\n" + ] + } + ], "source": [ "periods = sorted_data.index\n", "for p1, p2 in zip(periods[:-1], periods[1:]):\n", @@ -199,9 +2254,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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bRGQZUKOqT6mqAncDV6b1uct9fD9wiWuFXAZsVdVuVyi24ghN0ekYiNFYFZnwRa2IBG2lcxbSYxpg9afySTw5VTQitk7DKAIzCoS7bqNzgGfcpk+LyMsiskVE6ty2FcCBtG5tbtsK9/Hk9gl9VDUB9AENWcYqOp0DozRVl01oq4qGLCsoC8OxBCJOyi2YaOSTeDJFeFJMw1JujWLgWzREpAr4PvAZVe3HcTWtBc4G2oF/9A7N0F2ztM+2T/rcrheRbSKyrbOzMGmwR/pjNLtXzB4V0ZCtdM7CcDxJeTg4Hvy2ooX5I1MgPGSl0Y0i4Es0RCSMIxjfVtUfAKjqEVVNqmoK+Hdgk3t4G7AqrftK4JDbvjJD+4Q+IhICaoHuLGNNQFXvUNWNqrqxqanJz1uaMR0Do1NEoyoatKvnLAyPJamIBKl0RWPIrLK8EU+kJlS4BXedRjKF4/01jMLgJ3tKgDuB3ar6T2nty9IO+w3gFffxg8BmNyPqRGA98KyqtgMDInKBO+Y1wANpfbzMqKuAx9y4xyPApSJS57q/LnXbikoypRwdjNNcM8nSiIRMNLIwEk9SHglSEXEqsdq5yh+ZAuERd0MmS7s1Comf7KmLgI8CO0TkRbftL4GPiMjZOO6i/cDHAVR1p4jcB+zCyby6wc2cAvgk8C2gHCdr6mG3/U7gHhFpxbEwNrtjdYvIl4Dn3OO+qKrds3urs6d7KE4ypTRPimlURoIMjzmL1gKBTJ600mYolqAiHBp3T5krL3/EkynKwlMtDfAW/tm6XaMw5BQNVX2CzLGFh7L0uRm4OUP7NuCMDO2jwNXTjLUF2JJrnoWkY2AUgJZJlkZlNIQqjCaSVERs0dpkRsY8S8OLaZilkS/iiRTVZRM/c+OikVCIzMesjFLALkd80DEQA5iSPVXhXkFb2m1mhuNJKqNBIqEA4aDYOo08EkskKQsFJ7R5+4WPpSyDyigcJho+6Ox3RCNTIBwYLyliTMTJnnKE1eI/+SWWyO6eMoxCYaLhgyP9jnuqaXLKbcQsjWyMxBPjQfDa8jB9I2PzPKPjh9GxJNEplkaae8owCoSJhg86BmLUlocpC0/8ktr6g+wMxZPjolFXGaF7KD7PMzp+iCVSRCdbGm42VdwsDaOAmGj4INMaDcBSSXPgpdwCNFRG6Bo00cgXsbHUlIuYsJvBZ+4po5CYaPigYyBGS03ZlHZbtJad0bHk+A9bvVkaeUNVGU0kMy7uA2xVuFFQTDR80JGhhAikiYZZGlNIppRESsczfBpc0bDVynNnLKmoMlU0zD1lFAETjRyoKp2DsSlBcHAW94EtWsuEt+2o53evr4wQT6Ys7TYPxBLOOZzingqae8ooPCYaORiMJYgnUjRUTV0tZYvWpsf7YfOuhr1Kt90W15gzo2OuIGcojQ4mGkZhMdHIgeeHb6icamlEQgEiwQCDZmlMIeZaGl59JE90u4Zi8zan44VjgjzR0giZaBhFwEQjB0fdK+P6DJYGQEU0aJZGBmLjV8NeINwRXQuGz53YJNefxzH3lMWNjMJhopGDY5ZGZtGojIRscV8GprinKjxLw0RjroyOZbY0zD1lFAMTjRx0u+6U+ulEIxq0MiIZGL8a9kTDtdR6TDTmzPSWhomGUXhMNHLQlSWmAU7ara3TmMqxHzbnargy4hQuNPfU3IlNEwj3Um6tjIhRSEw0ctA9GKciEhxf2TyZSivEl5HJ7ikRcVaFm2jMmWlTbgNW5dYoPCYaOegaik/rmgLHPWXrNKYyOXsKbFV4vpgu5fZYwUITjZnw4oFeUrbboW/8bPe6SkT+R0R2i8hOEfkTt71eRLaKyB73vi6tz40i0ioir4nIZWnt54nIDve529xtX3G3hr3XbX9GRNak9bnWfY09InItRaZrKD5tEBxcS8PcU1PI5EKpN0sjL0yXcjvunrLsKd+8crCPK//1SR57tWO+p7Jo8GNpJIA/U9XTgAuAG0RkA/A54FFVXQ886v6N+9xm4HTgcuBrIuJ9um8HrsfZN3y9+zzAdUCPqq4DbgVucceqB24Czgc2ATeli1Mx6B6KZbU0nJRbszQm45WySP9ha6iMWCA8D3hW3NT9NBz3lJUR8c+u9n4A3ugcnOeZLB5yioaqtqvq8+7jAWA3sAK4ArjLPewu4Er38RXAd1U1pqr7gFZgk4gsA2pU9Sl1ChDdPamPN9b9wCWuFXIZsFVVu1W1B9jKMaEpCt2D8fE1BpmojFrKbSZiYxNjGuCs1TD31NyJTZNyGw5Y9tRMae1wxOKt7uF5nsniYUYxDddtdA7wDNCiqu3gCAvQ7B62AjiQ1q3NbVvhPp7cPqGPqiaAPqAhy1hFQVXpGorTOM3CPnDcU/FEyr6ok8iUFtpQFWEwlhh3rxizY7qU20BACAbEqtzOABONmeNbNESkCvg+8BlV7c92aIY2zdI+2z7pc7teRLaJyLbOzs4sU5sZQ/EksUQqRyDcrT9lwfAJjP+wBY9dDXvn0fbVmBvj7qnQ1Iy+cFDsAmYG7OkYAOCAiYZvfImGiIRxBOPbqvoDt/mI63LCvfciSW3AqrTuK4FDbvvKDO0T+ohICKgFurOMNQFVvUNVN6rqxqamJj9vyRdecb2souFVurVg+ATGg7VpV8Or6ioA2N81NC9zOl4YHUsiciyGkU44GLCYhk9G4knaekaIBAO09YyQtAwqX/jJnhLgTmC3qv5T2lMPAl4207XAA2ntm92MqBNxAt7Pui6sARG5wB3zmkl9vLGuAh5z4x6PAJeKSJ0bAL/UbSsKXnG9TBVuPSpsT42MeKXRvdIWAGubKwHY22miMRdiiRTRUAA3+XACkWDALA2fvNE5iCqcf1I9iZTS3jcy31NaFIR8HHMR8FFgh4i86Lb9JfBl4D4RuQ54C7gaQFV3ish9wC6czKsbVNXz3XwS+BZQDjzs3sARpXtEpBXHwtjsjtUtIl8CnnOP+6Kqds/yvc4YL2ibLRBe4S6w8nLnDYdYIkUkGCAQOPbDtrSmjIpI0DJV5khsLDklCO4RCoqtCPeJF89476nNPL7nKAe6R1jpWsPG9OQUDVV9gsyxBYBLpulzM3BzhvZtwBkZ2kdxRSfDc1uALbnmWQi6chQrhGOL1yy4O5HYWGrK4jMR4cTGSrM05kgskZqSbusRDgZsRbhP9nQMEAwI71rvuLQPdA9z4dqGeZ7VwsdWhGfBC9hmc09Fx0XDvqjpxBLJKdk9AGubqszSmCOjWSwNxz1lloYfWjsGOaGhghMaKggGxDKofGKikYX+0THCQRnfoS8TXkE+szQm4rmnJnNSUyUHe0fGy3sbM8eLaWQiHAxYGRGf9AyP0VwdJRwMsHxJmYmGT0w0sjAcS2QVDDhmacTtizqBeCI1LqjprG2qQhX2HTUX1Wxx3FNZYhoWCPfFcDxBpfv9Xl1fYaLhExONLAzGklRF/YmGuacmEkskM14Nn9TkZFCZi2r2OO6p6S0NS7n1x3AsOV69emlNOZ0DthWxH0w0sjAUS1AZzXxF5zEeCLfsqQlM50I5qbEKsLTbuRBLpDLGi8CJadiKcH8MpVkadRVhK3HjExONLAzFE+MrvqfDC0haTGMiTvbUVMEtjwRZVV/OQzva6R22L+lsiCWSGVeDA4RD5p7yy3AsSYV7UVhXGWFkLGmxNh+YaGRhMHbsSmQ6vCs+c09NJJZITthLI52bfu109nYO8eGvP82IVQieMaNj01saYVvc5wtVnWRpuNsR24VMTkw0sjAcS+Z0T1lMIzPx5PQZPu/b0MLfX30mrx0ZYNubRVuredzgxIumCYQHAsTNPZWTWCJFShm3NOorwwD0DI3N57QWBSYaWRiM5XZPeWmlJhoTiWW5GgZ457pGAF47PFCsKR03ZFo46REJCXFzlebE2wPHszSWmKXhGxONLAzFEzmzp0SESChgMY1JOIHw6a20hqoojVURE41ZMDqWnDbltiwUtAsYH3i14ioinqXhiIYFw3NjopGFIR/rNMBxUVn21ESmS7lN5+SWal4/YqIxU7It7ouGg1YHzQfjlkZ0YkzDkjNyY6IxDc7GSkpVjpgGOBlUlhs/kWw/bB6nLK3m9SODpKwktW9UNeu5LQ8HLQPIB95WBp6lsaTCiWl0W0wjJyYa0+CZr7liGmCWRibiidS02VMep7RUMzLm7Glg+GN87/Xp3FPhgImGD7xN0zxPQjgYoLosZDENH5hoTMPgTEQjbDGNyeSKaQCcvLQagFcPZ9sI0kjHcz1NZ2mUhYMkUkrCLN+sTLY0wHFRmWjkxkRjGrwPVa51GuBkUFnw8RiJZIpkSn3FNACLa8yAYzsiTm9pAIza5zErw/GpF4V1lRELhPvARGMajrmnfMQ0wpaxks74/uBZUm4BqqIhVtaV86plUPnGc4OWZYlpALZoMgdDMS/lNt3SCNM7bDGNXPjZ7nWLiHSIyCtpbZ8XkYMi8qJ7+2DaczeKSKuIvCYil6W1nyciO9znbnO3fMXdFvZet/0ZEVmT1udaEdnj3rztYIuC96HKlXILjqvAcuOP4VX8zeWeAljfXDW+g5qRm1yWRnR8J0n7PGbDszQq0r7f9RVmafjBj6XxLeDyDO23qurZ7u0hABHZgLNV6+lun6+JiPfpvh24HmfP8PVpY14H9KjqOuBW4BZ3rHrgJuB8YBNwk7tPeFGYcSDcLI1xvHORKxAOsK65ir1Hh0haBpUv/MQ0wGqh5cK7KCxPE98lFRFLufVBzm+1qv4CZ99uP1wBfFdVY6q6D2gFNonIMqBGVZ9SVQXuBq5M63OX+/h+4BLXCrkM2Kqq3araA2wls3gVhPFAuK91GkHLnkpj/GrYp2jEEykO2F4GvvAEefrFfW5Mwz6PWRkZS1IeDhJM28O+vjLMUDxpgpuDucQ0Pi0iL7vuK88CWAEcSDumzW1b4T6e3D6hj6omgD6gIctYRWFGMQ1bET6B2AzcU+uanVLp5qLyR2wsuyB7+0OMmHsqK5m2Pair9Bb4WVwjG7MVjduBtcDZQDvwj267ZDhWs7TPts8EROR6EdkmIts6Ozuzzds3Q5NWjGbD3FMTieVwoaSzrsnJoGq1TZl8cUyQs7unLKaRneH4sQ2YPLxV4RbXyM6sRENVj6hqUlVTwL/jxBzAsQZWpR26Ejjktq/M0D6hj4iEgFocd9h0Y2Wazx2qulFVNzY1Nc3mLU1hKJYgFBBfP3zRcMC2e00jnvSCtbnPXW1FmMaqqFkaPhkdtzSmrz3lHGefx2wMZdj2YLw8uolGVmYlGm6MwuM3AC+z6kFgs5sRdSJOwPtZVW0HBkTkAjdecQ3wQFofLzPqKuAxN+7xCHCpiNS57q9L3bai4NSdCuImeWUlakXiJnDM0sjtngJY11xpouETr2ZSRSTHOg2zNLIyHE9OOYd1bnn0bguGZyWn70VEvgO8G2gUkTacjKZ3i8jZOO6i/cDHAVR1p4jcB+wCEsANqup9ej+Jk4lVDjzs3gDuBO4RkVYcC2OzO1a3iHwJeM497ouqWrTNF/zsD+5hMY2JzCR7Cpy4xgMvHOKVg30EA8Jpy2oKOb1FzfBYLtGwmIYfMlWwbqiMAuaeykXOX0VV/UiG5juzHH8zcHOG9m3AGRnaR4GrpxlrC7Al1xwLwbCPrV49Im5MQ1V9WSbHOzPJngJY11TFQCzBr3/1CZbXlvPEX7zHzuM0jLjrCyb74z3GU25NNLIyHEvSXB2d0FZfGSEg0DkQm6dZLQ5sRfg0+NmAySMaCqAKCVtrAOQO1k7mrFVLAFjbVMXB3hF2HOwr2NwWO8fcU5k/m8fcU+YuzUb6Vq8ewYBQXxnl6KCJRjZMNKYhU0redHi+e4trOBwrI+Lv/J2zuo6nbnwv93/iQkIB4aEdhws5vUXNSNzZez19fUE6lj3lj+F4cnyr13QaqyJmaeTARGMahmJJXwv74FiWkLkEHGZqaQAsqy1nSUWEd6xr5OFX2nFyIYzJjIxNDeCmEw4GCAXEYho5yJQ9BdBUHaVz0GIa2TDRmIbBWO6tXj28H0ezNBw88fQbCE/ng2cs5c2uYXa1W7n0TAzHk1TksODKbPe+rCRTzkZWmVx8TdVRjpqlkRUTjWmYaSAcTDQ8ZmOqfP6mAAAgAElEQVRpeFy4tgGAnYdMNDIxkmFR2mTKwgFGLZtvWoYz7KXh0VQVpXMwZpZuFkw0pmEoltnnmQkvpmEL/BxiY0lEnH1GZsryJeUEBNqsFlVGhuO5960vsy1fszKeTJDh+91UHSWeSNE/mij2tBYNJhoZiCdSxJMpqvzGNMYtDfuiglOCpTISmlXabDgYYFltOW+ZaGQkU/mLyZhoZGcoSzHSJjcN1zKopsdEIwMDo07Bsuoyv6Jh2VPpOFfD/qy0TKyur+CA7RuekVyBcPD2CbfP4nRkW1XfWOWIhmVQTY+JRgY807SmPOzr+GPZU/ZFBTfzzGc8KBOr6s3SmI7heHLCHhCZKAuZpZENb9uD6QLhYJZGNkw0MnDM0vAnGp7v3txTDvmwNDoHYrZlaQb8BMLLIyYa2egfcb7ftRkuCs3SyI2JRgb6R1xLw697yrU0LBDuMJM1LplYVV8BQFuPWRuT8SPI0VCQEbN6p6XPFY0lFVNFY0l5mFBAzNLIgolGBmZqaVhMYyLD8YTvzLNMeKJxwERjCk511lzZUwFbaJoFTzQyuZ8DAaGxKmqWRhZMNDLQP+p9qCx7ajZkKjs9E1bVOaLxVpeJRjopd1FazpiGZU9lpXd4jIBA9TRxt8ZqKyWSDRONDAzMNBBui/sm4OdqOBuNVRHKw0HLoJrESI6y6B7l4SCj9lmclt6ROLXlYQLT1O9qqopy1EqJTIuJRgb6R8YQwfc6jfEV4eZHBrwKorO3NETEMqgykGsDJo+ycMCSCLLQN5JgibtLXyaW1paxv2tofOW4MRETjQz0jzp1p6a7EpnM+IrwpIkGOHsVVMwh5RacDCpzT03EE4JyPyvCE0krhTENvcPxrF6Eq85bxcBogi1P7Btve2TnYW564BX+8Sevlfx5zSkaIrJFRDpE5JW0tnoR2Soie9z7urTnbhSRVhF5TUQuS2s/T0R2uM/d5m77irs17L1u+zMisiatz7Xua+wREW9L2ILTPzpGjc8gOEA4KIhYlVs4tpp+LpYGwKlLa2jtHDTffBrDY9PXTEqnLBxE1S5ipqNvZIwlWUTjvBPqeP+GFr7+8730DMXZtr+bj9+znXuefpN/eax1fJ1HqeLH0vgWcPmkts8Bj6rqeuBR929EZAPOdq2nu32+JiLeJ/x24HqcfcPXp415HdCjquuAW4Fb3LHqcbaWPR/YBNyULk6FZGA04Xs1ODjulKi7e1+pM5JjkyC/vG1lLcmUWrXbNIbHLY3cogG2EdN09A6PZUy3Teezl53CUDzBn9z7Ijc/tJuWmihfuMLZeLTUt4PNKRqq+gucvbvTuQK4y318F3BlWvt3VTWmqvuAVmCTiCwDalT1KXVsu7sn9fHGuh+4xLVCLgO2qmq3qvYAW5kqXgWhf2RmlgY4LioTDSeeAfjewGo6zlxZC8CONtvFz2NckHNmT3m795mVlolclgbAyS3V/O1vvo1fvN7JC2/18r/edzIr68oBSj5IPtvLwRZVbQdQ1XYRaXbbVwBPpx3X5raNuY8nt3t9DrhjJUSkD2hIb8/Qp6AMjCZYvqRsRn3M0nA4VnZ6bpbG0poyGquitvVrGr4tjZDt3jcdyZTSPzqWcTX4ZD789tXEEyme2dfNVeetZHf7AGCWxty+2VPJFDnWLO2z7TPxRUWux3F9sXr16tyzzEH/6BinlFXPqE8kFLB1GjirwSG33z0XIsLbVtSYpZFGtn0g0vFExdxTUxkYHUMVarNkT6Xz0QvX8NEL1wBQX+X06Srx1eKzzZ464rqccO873PY2YFXacSuBQ277ygztE/qISAioxXGHTTfWFFT1DlXdqKobm5qaZvmWjjEwmvBdQsTDLA2H4TzFNADetnIJezoGLPXRxX/2lLmnpqN32C0h4nMNVjoNla5olLilMVvReBDwspmuBR5Ia9/sZkSdiBPwftZ1ZQ2IyAVuvOKaSX28sa4CHnPjHo8Al4pInRsAv9RtKyiqysDomO+FfR7RUNDWaXDsaniuMQ2AM1fUklLYZbv4AWmL+3xUuU0/3jhGb5a6U7koCwepjATpsphGdkTkO8C7gUYRacPJaPoycJ+IXAe8BVwNoKo7ReQ+YBeQAG5QVe+T+0mcTKxy4GH3BnAncI+ItOJYGJvdsbpF5EvAc+5xX1TVyQH5vDMUT5JS/3tpeFRGgwzGxgo0q8XDUB4tjdOW1wDw+pFBNq6pn/N4ix2/MY1o2GIa05GtWKEfGqqidA2Vtnsq5zdbVT8yzVOXTHP8zcDNGdq3AWdkaB/FFZ0Mz20BtuSaYz7xyibPNHuqsSrKno7BQkxpUTEcy5+l0VwdRQQO94/OeazjgZF4koDk3nu93FJup6V32LES/ATCM9FQFSn5QLitCJ9E/wwr3Ho0VkWtnDL5tTTCwQBNVVEO91kNKjhW0yvXNroW05ievvG9NPwFwifTUBkp+ZRbE41JHCtWOLMfvcaqKL3DY4yV+Crc4Zi/DB+/LKst43C/iTHAyFgip2sKjhXa9C6AjGN4gfBZWxqVUcuemu8JLDQ899RMLY0GNx2v1E3XoXiSSDBAOJifj1ZLTZlZGi5+S84vKQ8jQskHbDPRNzJGZSQ4XmR0ptS77qlSrj9lojGJcUtjhoFw2ybSYa4bME1mWW0Zh/sspgH+9gcHCAUD1JaH6Rk20ZhM77C/hX3T0VAZIZHS8d09SxETjUnMNqbRVO1YGqUe15jrVq+Taakto380YWs1cALhft1+9RUWsM1E30jc98K+THgXh0dLOIPKRGMSnqUx05Tb8Q9TibsERsZy72E9E5bVOuVczNpwrDg/MQ2AusqIWRoZcCyN2V/U1FeaG9pEYxL9I2NEQoHxSqF+OSYapXsFAo6lMde9NNJpqTHR8HDcU/7ObV1FxGIaGWjvG2VpzczqyqXTYKVETDQm0z0Up34W5mtlNER5OMhRi2nMeS+NdJbVOpVFba2GW33Z51Vyg1kaU0gkUxzuH2Wluwf9bGioNI+CicYkuobi41cTM6WxOmKWRmxu+4NPxrsqbC9xS2PM/cFbsaTc1/F1lRF6hsZKOstnMof7R0mmlBV1/s5hJsw9ZaIxBUc0orPq22gb0juWRh6zp8ojQWrLwxwpcUvjcN8oKcW3aNRXhoknU+OLLQ042OOkbq+cg2hEQk5mWilnSZpoTKJrMDZezXKm2KpwZ51GPgPh4FgbpW5pHOx1fvD8XiXXuS7WnhK+Ip5MmysafoV3Opqro3QMlO7n0URjEl2DcRONOTAcS+TVPQWwtLas5C2NQ70z+8GrtzLeU/CEd/kcRaOlpowOszQMcFwrI2PJWbunmtzVoslUafqRUylleCyZ10A4OF/yN7uGS9o/77lW/P7g1VWapTGZtp5hmqqjM86MnExzdZSOEi5tY6KRhpeiONtAeENVlJSWbpCs390VbaZ7keTirJW19I2M8UbnUF7HXUwc7B2hsSri+wevwQK2UzjYOzJn1xRAc00ZHQOjJXsRY6KRhmfKz8U95YxTmlchB2foQvGLt5fG9jcLvp3KgmWmP3jjloal3Y7T1jMypyC4R3N1lLGk0jNcmgUhTTTS8BbszNo9Ve30K1XT9VCvE3eYq894MmubKqmrCPPc/p68jruYONgzMqNU0epoiFBALKbhkkop7b2jc0q39fAWnJZqMHxOoiEi+0Vkh4i8KCLb3LZ6EdkqInvc+7q0428UkVYReU1ELktrP88dp1VEbnO3hMXdNvZet/0ZEVkzl/nmYtw9NUtLo6XGFY0SDZK1u9Voly2Z/YrbTIgI551Qz/Y3S1M0VHXGloaIuGs1TDQAOgdjxJOpOS3s82h2v+dHSvTiMB+WxntU9WxV3ej+/TngUVVdDzzq/o2IbMDZyvV04HLgayLiOWhvB67H2VN8vfs8wHVAj6quA24FbsnDfKdl3D01y5hGc7XzY1mqmT4He0eIBAM0Vs7OUsvGxjV17Ds6VJL58UcH48QSqRm7/axo4THaeoYBWJkHK7jF/Z53lOj3vBDuqSuAu9zHdwFXprV/V1VjqroPaAU2icgyoEZVn1InsnT3pD7eWPcDl0iubcvmQNdgjPJwcNYpo+WRIDVloZL9MB3qHWXZkjICgfz/i96+xjFYSzGucWyNxsyukusqrTy6x76jjmisqs+fpVGqHoW5ioYCPxGR7SJyvdvWoqrtAO59s9u+AjiQ1rfNbVvhPp7cPqGPqiaAPqBhjnOelrmUEPFoqSkrWbO1vXeE5bX5jWd4nL68loDArvaBgoy/kDk4y0VpDZVRi2m4vNreTzQUYE3D3EWjLFzaF4dzFY2LVPVc4APADSLyK1mOzXT5qVnas/WZOLDI9SKyTUS2dXZ25prztBwdjM06CO7RUlPGkRINkB3qHcl7PMOjLBxkVX0Fb3QOFmT8hczLbb1EggFOaqqcUb+m6qhTfqRE1w2ls/twP6csrSaUpx0lm0t4gd+czqCqHnLvO4D/AjYBR1yXE+59h3t4G7AqrftK4JDbvjJD+4Q+IhICaoEp/glVvUNVN6rqxqamplm/n+6h2a8G92iuKc2FP4kZFtSbDWubqnijo/RE4+l93Zy1qnbGi9LWt1QxHE+Ou7dKFVVld/sApy2tyduYLTXRko1dzlo0RKRSRKq9x8ClwCvAg8C17mHXAg+4jx8ENrsZUSfiBLyfdV1YAyJygRuvuGZSH2+sq4DHtIArauZSQsSjxV34U2pXd0cGYqQ0/+m26axtqmTv0aGSWnE/GEvwysE+zj9x5l7Zk1uqAdjTUXouvXQ6B2J0D8U5dVl13sZsri5dS2MuRYJagP9y49Ih4D9V9cci8hxwn4hcB7wFXA2gqjtF5D5gF5AAblBVrwTnJ4FvAeXAw+4N4E7gHhFpxbEwNs9hvllRVbqG8uCeGl/4M/tquYuR9jzV9cnGuuYq4okUB3tGWJ0H3/RiYPubPSRTyvkn1c+478nNzo/k60cGee+pLfme2qJhV3s/AKcty5+l4XkUVJUC5uYsSGYtGqq6FzgrQ3sXcMk0fW4Gbs7Qvg04I0P7KK7oFJr+0QRjSaUxD4FwcHK4S0k0xovB1RYmpgGOewrgjc7B41404okUrx7u5+m9XYQCwnkn1OXuNInaijDN1VFeP1Lalsarh533n0/31NKaMuLJFF1D8fFKEKWCrQj3UPjYO9Zw5solcxqm2RONEguGe6vBlxU4pgGURDD8rl/u50NffZJ/+/kbvG1l7azTwE9uqWbPkeP/fGVjd3s/y2vLqK3IX020dc3OZ7EUBdlEw6W2IsznP3Q6m06cuRsgnebxUiKlJRqtHYM0VEaoyuP+4JOpq4zQUBmhtQSC4T97vYPltWVsWlPPRzatnvU461uqaO0YLLkYm4eqsqOtL6+uKTjm6tpdgingJhp5plRLDDy3v5uNa2buQpkpa5uqjntLY3QsyXP7e/jg25Zx78cv5Lc3rsrdaRpObqlmZCw5vgHR8c7Lbb388XdeYCiWABzX1N6jQ7z7lNlnVWaisSpKY1WUV914SSlhopFnoqEgdRWltT1pe98Ib3UPs2kWGT4zZW1zJa8fOb6vnLft7yGeSHHR+sY5j3Vyi+NGKZUMqq//Yi8PvnSIv3loNwAPvnSIYED44NuW5f21TltWPR4vKSVMNApAqa0Kf3afs3Tm/Dm69vyw6cR6+kbGePlgX8Ffa754ovUo4aCwac3cz+fJLdUEA8K2Eij2ODA6xk93HWFJRZhvP/MWP3i+jQdfPMS71jcWJCnl1KXVvH5kgEQylfexFzImGgVgWW3ZeIG0UuDZfd1URUN59xtn4j2nNBMMCD/ddaTgrzVfPNl6lHNW11GZh/hQdVmYC06q55FXDh/3mwY9svMIsUSK23/3PM5cWcuf3vcSB3tH+NBZywvyeqcurSGWSLG/a2FsDhZLJDnQXfjfHRONAnDqshpaOwaJJZK5Dz4OeHafE88IFqBQ4WSWVETYeEIdP919fIrGge5hdhzs4+KT8+eD/8AZy9h7dIjXj/Msqv9+4SCr6yu44KR6vv/Jd/ClK8/gV89cxmWnLy3I6y2UYHgimeK2R/dw0Zf/hz/+7gsFfz0TjQJw2rIaEiktiSyfrsEYezoGeXseXCl+ef+GFl49PFCUq6pic//2NkTgN85Zkftgn1x6egsi8NCO9ryNudC484l9PNF6lA+/fRUiQjgY4KMXnMC//s65ebHYMrG2uZJQQNh5aH6D4d/b3sY/bX2dt62o4U/ff3LBLUoTjQKwYYFcgRSDp/Z2AfCOtYUPgnu87zRndfPDrxxfP4KplHL/9jbeua4xryvrm6vLePsJ9Ty0o/24dFE98OJBvvSjXXzgjKV84uK1RXvdaCjIphPr+cHzbYyOzY9XQVX51pP72bCshi0fezvvWt9U8BXqJhoF4MTGSsrCAXbN8xVIMXiy9SjV0RBvW1FbtNdc01jJpjX1fPPJ/cQTx0cQ8snWo9zyyKsc7B3hqvNW5u4wQ646byV7Ogb5yXEWC3rhrR4+e//LnH9iPf+8+eyiuEjT+aP3rqdjIMZ3nn2rqK/r8dTeLl47MsDHLlpTtHImJhoFIBgQTllaw+4SyOF+srWLC9Y25K3ktF8+9Z61tPeN8l8vtOU+eIHzvW0H+N1vPMPXf76XlXXlBfHB/+a5K1jbVMnf/fjV4ybb55WDffzh3dtpqYly+++dRzQ0syrA+eDCtQ1ccFI9X/vZG7x6uPjf97t+uZ/6ykjBgv2ZMNEoEBuWVbOrvX9RugP8BvAPdA/zVvcwFxXRNeVx8clNvG1FLbf/7I1FeY49nt7bxY0/2MFF6xp46a8u5fE/f8+MS6D7IRQM8NnLTuWNziHuefrNvI9fbJ7Z28Vvf/0pIkHhmx/bRP0cq1PPhRs/cBqxsSQf/Mrj/NvP3yja6x4djPHo7g6uOm9lQT4z02GiUSA2LKuhb2SM9r7FtcjvW0/u4/S/eoRbt74+7RXp6FiSv/7RrvEFVO/MwyK0mSIifPSCE9jfNcxri7T+z2AswZ/d9xKr6yv42u+eR21FuKAuhstOb+Hik5v4m4d2s30Rr9tIppT/779foak6yn/dcNF4Haj54qxVS/j5Z9/D+05r4e8feY1XirSG6L9fOEgipVxdAHdmNkw0CsRZq5zCh9dseZaHF0nWykM72vnCj3bRUlPGVx7dwzlf3MoHv/I4z7jBbo9vPrmfbzyxj4dfOczq+orxQoLFxhOrJ1u7chy5sEillFcP9/PFH+7kUN8If3/1mdSW56+Y3nSICF/ZfDbLasu54dvPz1vwdq48+NJBWjsG+YvLTx2vKj3f1FVG+PurzqK+MsKf3/9ywc+tqpM0cdaqJaxvyd8+IX4w0SgQZ65cwlc2n00oIHz6Oy/w9N6F+8PWNzLGDf/5PJ/69vOcvWoJP/3Ti/m33zuX3zx3BcPxBL935zN8b5uzvXvXYIyv/U8rl5zazIt/9X5++Ol3ztt+AsuXlHNSUyVPth6dl9efDarKJ7+9ncv/+XHu29bGx96xhvNOKF668pKKCLf81pkc7h/l+88vjnhQIpni6b1d9I+OcXQwxq1b97BhWQ2XF2j9xWyprQjz11eewa72fn7r9l8WLCX8gRcP8od3b+fVwwMFSZrIhSxmf3AmNm7cqNu2bZvvaYwzGEvwoX95gr6RMeoqIwzFElx5zgpueM+6glaEnQl/89BuvvH4Xv7ovev5xMVrKY8c84/2jYzx6f98nsf3HOUjm1bz+pEBXjzQyyOfeRfrmot7hZOJ//3fr/D959t46aZLCRc5GJ9OIpni+bd6CQYgmYIj/aO8crCP/tEEzdVRLj9jKactq+F72w7w2ftf5uO/chKXnNbCxhPqCBQ540dVueJfn2RgNMGjf3px0V8/G9v2d/Pvj+8lkVR+++2r6B2Os+WJ/bx2ZIC6ijChYID+kTG++ftv5x1ri+8W9cNjrx7hM999kfJIkO99/B2+9n55ZOdhbt36Oof7R2mojHDh2gb+6tdOJxKa+Jn+yc7DXH/PdlYsKef8k+r50hVn5G0diohsV9WNOY9bDKIhIpcDXwGCwDdU9cvTHbvQRAPg1cP9XLvlWdY2VVEeDvLYax1ce+EaPv+h0/P6Ot5eyKGgsGJJua8P02AswYV/+ygXn9zEV3/n3IzHjCVTfP7BnXz7mbdoro7ymfedzO+cP/ty3fnkx68c5hP/sZ3vfeLCoi4wTKdnKM6nv/P8FDdZJBigpjxE91CclDpl83uG45y7uo7v/OEF8/pj/cOXDvFH33mBf/rts/jNc4t/tTqZ4XiCzz+4k/u2tY2LQ6e7neqq+nI+/itreWTnYTr6Y9z64bPZsLzwJWvmwmuHB/jwHU9RFQ3x7T84nxMaKqc9dt/RIX71tsdZvqScTSfW09E/yk93d/DRC07gQ2cv5+EdhxkZSxJPpHhk52FOaqrkvo9fmPfg93EjGiISBF4H3g+0Ac8BH1HVXZmOX4iiMZn/93sv8aOXD/HkX7w3YyE1VeXFA72EgwE2LKvJ+eOyu72fJ1uPcv/2tvGqm2XhAB86aznnn9jAiU2VnNRYyZKKqRkm33xyH1/44S7+61Pv4JzV05c2V1X2dAxyYmPlvF7RT6ZvZIxzvvgT3rW+ib+/+kxePzzI+paqCb5uVaW9b5Sa8jBVUedH/O6n9vPQjnbWNVfx9jX1nNJSzaYT62eUOpxMKfdvP8A//OR1+obH+MsPnsqaxkqCAaGxKsrapioioQC9w3G+//xBXjvcT0UkxCcuXsvSAu5w6IdEMsWvf/VJdrf38zvnr+bSDS1ccFIDZeEgRwdj9A6P0VwTpToaKqj7MZFM8fArh7nlx84alU9evJY/eu96AgGnPM3yJeWc2FC5oKwhv7zc1ss1W54F4CObVtPeO8L5JzVw8clNhILCQy+3s+NgPy+81UPXUJwff+ZdLKt1FnX+7UO7+fov9gLOd7m6LEwkGGBZbRlf+cg5rCjAZmfHk2hcCHxeVS9z/74RQFX/NtPxi0E0WjsGeP+tv+BT717LZy87lZ6hOE/t7eKZvV30joyx58jg+L7GjVVR/viSdbxjbSPtfSO0944SSySpjIY4fXkt337mTe5+ykmhPG1ZDR+94ASqy0L88o2j/PcLhxhJC8gtqQjTUl3GaCLJUCzJSDzBUDzJuauX8INPXTQv5yIffOvJffz1/9lNwi2XXlcR5o8vWc8Pnj84vg1t91Cc+soIv7NpNf/xzJv0Do+xaU09b3UPc9gtY39SYyVXnL2CvpExEqnMmWMr68pZ01BJ/2iCbzy+l1cPD3Du6iV88YozOKOICxzzwXA8wS0Pv8o9T79JSp2tei89fSnfefYtYu6iyfJwkJaaKM3VZTTXRNmwvIbLTl/K4b5R9h4dorN/lB0H+0gq/MY5yznUO8obnYOUh4N0DcYZGUty7uo6GqoipFRJppTlS8qpLQ9z37YD/HTXEfpHE5y6tJovfOh0zj+p+OnbhWT/0SH+8O5ttHY6m5QdHYxPeL6lJkplNMT//tUNvOfU5vH2RDLF3zz0Kktro3z0gjUTXMaF4ngSjauAy1X1D9y/Pwqcr6qfznT8YhANgE/cs50f7zxMXUWY3pExVKEiEqSpOsqSiggf3riK8kiA+55rGy/VMR1/8M4T+cNfOWlKJslYMsWB7mH2HR1i39Eh9h4d4uhAjPJIkIpIiIpIkMpIkF8/a3nRMzDyzYsHevnJzsNsWF7DP/90D60dg6yur+Bd6xtJppSTW6p54KVDvHSgl3NWL+HLv3kmpyytRlXpHIjx3P4ebnt0D68dGaAiEiQammpxpNSxbDxW1ZfzF5efyq++bdm8JQPkg8FYguf2dfMPP3mNnYf6+dUzl/G+05rpHIjR0R/jyECMjv5RjvSPsr9rYnBXBNY3VzEUS44L9LLaMmKJlONmCgR4vWOATD8zVdEQHzhjKZec1sL7N7QUfTV3sUillFgiRVk4wMttfbxyqI/hWJJ3rGvg9OUL50LjeBKNq4HLJonGJlX9o7RjrgeuB1i9evV5b7658Bcv9Y+O8f3tbew61M+q+gouWtfAmSuXTHH9qCpPtnZxdDDGstoyli8ppywcpG8kzvNv9bJySTnvWLcwA4LzxcDoGE+90cW7T2meEEhMppQXD/Rw9qrMFXlVldGxVNaruu6hOG09w5SHg5zQUDklULmYSaaUrqEYzdXTu87e6hrm53s6WV1fwalLq6mvjBAOBsbP7cq6iikXL/2jY4zGkwQCggD7u4Y43Bfj4lOaFkwyiHF8icZx554yDMNYaPgVjcVwmfQcsF5EThSRCLAZeHCe52QYhlGSLHjbUFUTIvJp4BGclNstqrpznqdlGIZRkix40QBQ1YeAh+Z7HoZhGKXOYnBPGYZhGAsEEw3DMAzDNyYahmEYhm9MNAzDMAzfmGgYhmEYvlnwi/tmiogMAK8BtUA+t9BqBPK5cUO+55fP8fI9N498ncOFfO4KNWYpff4KMZ6dv+w0ApWq2pTzSFU9rm7ANvf+jkKMm8fx8j2/vI2X77nl+xwu5HNXwDmWzOfPzl/xx5vJ+Tme3VM/nO8J5CDf88vneHbuFuaY+WShn0M7fwtrvHGOR/fUNvVRP2WhjFtK2DmcPXbu5oadv+zM5Pwcj5bGHYts3FLCzuHssXM3N+z8Zcf3+TnuLA3DMAyjcByPloZhGIZRIEpWNERklYj8j4jsFpGdIvInbnu9iGwVkT3ufZ3b3uAePygiX00bp1pEXky7HRWRf56v91VM8nUO3ec+IiI7RORlEfmxiBzXO0vl+dx92D1vO0Xk7+bj/RSbWZy/94vIdvcztl1E3ps21nlue6uI3CaLeRvGYpDPNK/FdAOWAee6j6uB14ENwN8Bn3PbPwfc4j6uBN4JfAL4apZxtwO/Mt/vbzGdQ5xqyx1Ao/v33+FsvDXv73ERnEU1c3EAAARLSURBVLsG4C2gyf37LuCS+X5/C/D8nQMsdx+fARxMG+tZ4EJAgIeBD8z3+1vIt5K1NFS1XVWfdx8PALuBFcAVOF883Psr3WOGVPUJYHS6MUVkPdAMPF7AqS8Y8ngOxb1Vuld5NcChwr+D+SOP5+4k4HVV7XT//inwWwWe/rwzi/P3gqp6n6mdQJmIREVkGVCjqk+poyB3e32MzJSsaKQjImtwrkSeAVpUtR2cDyaOCPjlI8C97oevpJjLOVTVMeCTwA4csdgA3FnA6S4o5vj5awVOFZE1IhLC+cFbVbjZLjxmcf5+C3hBVWM4QtOW9lyb22ZMQ8mLhohUAd8HPqOq/XMcbjPwnbnPanEx13MoImEc0TgHWA68DNyY10kuUOZ67lS1B+fc3Ytj4e4HEvmc40JmpudPRE4HbgE+7jVlOKzkLvpmQkmLhvtj9X3g26r6A7f5iGuy4t53+BzrLCCkqtsLMtkFSp7O4dkAqvqGa6XdB7yjQFNeMOTr86eqP1TV81X1Qpy6a3sKNeeFxEzPn4isBP4LuEZV33Cb24CVacOu5Dh3jc6VkhUN13d+J7BbVf8p7akHgWvdx9cCD/gc8iOUmJWRx3N4ENggIl6xtPfj+KiPW/L5+RORZve+DvgU8I38znbhMdPzJyJLgP8D3KiqT3oHuy6sARG5wB3zGvx/50uT+Y7Ez9cNJxNFcVwhL7q3D+JkozyKc7X2KFCf1mc/0A0M4lyhbEh7bi9w6ny/r8V6DnGygna7Y/0QaJjv97eIzt13gF3ubfN8v7eFeP6A/x8YSjv2RaDZfW4j8ArwBvBV3EXPdst8sxXhhmEYhm9K1j1lGIZhzBwTDcMwDMM3JhqGYRiGb0w0DMMwDN+YaBiGYRi+MdEwjCIjIp8QkWtmcPwaEXmlkHMyDL+E5nsChlFKiEhIVf9tvudhGLPFRMMwZohbIO/HOAXyzsEpy30NcBrwT0AVcBT4mKq2i8jPgF8CFwEPikg1MKiq/yAiZwP/BlTgLC77f1S1R0TOA7YAw8ATxXt3hpEdc08Zxuw4BbhDVc8E+oEbgH8BrlJV7wf/5rTjl6jqxar6j5PGuRv4C3ecHcBNbvs3gT9Wp56UYSwYzNIwjNlxQI/VMPoP4C9xNvfZ6m78FgTa046/d/IAIlKLIyY/d5vuAr6Xof0e4AP5fwuGMXNMNAxjdkyuvzMA7MxiGQzNYGzJML5hLAjMPWUYs2O1iHgC8RHgaaDJaxORsLt3w7Soah/QIyLvcps+CvxcVXuBPhF5p9v+u/mfvmHMDrM0DGN27AauFZGv41RU/RfgEeA2170UAv4ZZ2vRbFwL/JuIVOBUSv59t/33gS0iMuyOaxgLAqtyaxgzxM2e+pGqnjHPUzGMomPuKcMwDMM3ZmkYhmEYvjFLwzAMw/CNiYZhGIbhGxMNwzAMwzcmGoZhGIZvTDQMwzAM35hoGIZhGL75v3twqV+RhzkxAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "sorted_data['inc'][-200:].plot()" ] @@ -252,10 +2353,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 13, + "metadata": {}, "outputs": [], "source": [ "first_august_week = [pd.Period(pd.Timestamp(y, 8, 1), 'W')\n", @@ -274,7 +2373,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -298,9 +2397,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "yearly_incidence.plot(style='*')" ] @@ -314,9 +2436,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "2014 1600941\n", + "1991 1659249\n", + "1995 1840410\n", + "2012 2175217\n", + "2003 2234584\n", + "2019 2254386\n", + "2006 2307352\n", + "2017 2321583\n", + "2001 2529279\n", + "1992 2574578\n", + "1993 2703886\n", + "2018 2705325\n", + "1988 2765617\n", + "2007 2780164\n", + "1987 2855570\n", + "2016 2856393\n", + "2011 2857040\n", + "2008 2973918\n", + "1998 3034904\n", + "2002 3125418\n", + "2009 3444020\n", + "1994 3514763\n", + "1996 3539413\n", + "2004 3567744\n", + "1997 3620066\n", + "2015 3654892\n", + "2000 3826372\n", + "2005 3835025\n", + "1999 3908112\n", + "2010 4111392\n", + "2013 4182691\n", + "1986 5115251\n", + "1990 5235827\n", + "1989 5466192\n", + "dtype: int64" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "yearly_incidence.sort_values()" ] @@ -331,9 +2498,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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