From a7e4ac9889ff8f39031b35f7e1440a16245544ab Mon Sep 17 00:00:00 2001 From: 210711amol <107047899+210711amol@users.noreply.github.com> Date: Thu, 16 Jun 2022 23:29:18 +0530 Subject: [PATCH 1/5] Add files via upload --- Assignment 1/210711_Amol_1.ipynb | 2489 ++++++++++++++++++++++++++++++ 1 file changed, 2489 insertions(+) create mode 100644 Assignment 1/210711_Amol_1.ipynb diff --git a/Assignment 1/210711_Amol_1.ipynb b/Assignment 1/210711_Amol_1.ipynb new file mode 100644 index 0000000..9c00cdd --- /dev/null +++ b/Assignment 1/210711_Amol_1.ipynb @@ -0,0 +1,2489 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "fe30fb18", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np \n", + "import pandas as pd \n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from math import sqrt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "748b350d", + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv('Dataset.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d21baed1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Columns names:\n", + "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n" + ] + } + ], + "source": [ + "columns_names=df.columns.tolist()\n", + "print(\"Columns names:\")\n", + "print(columns_names)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "cd840d05", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(8950, 18)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "6c5815bd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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+ "\n", + " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n", + "0 201.802084 139.509787 0.000000 12 \n", + "1 4103.032597 1072.340217 0.222222 12 \n", + "2 622.066742 627.284787 0.000000 12 \n", + "3 0.000000 NaN 0.000000 12 \n", + "4 678.334763 244.791237 0.000000 12 " + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9cec5cbe", + "metadata": {}, + "outputs": [], + "source": [ + "x = df[\"MINIMUM_PAYMENTS\"].mean()\n", + "\n", + "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "7223bbc4", + "metadata": {}, + "outputs": [], + "source": [ + "x = df[\"CREDIT_LIMIT\"].mean()\n", + "\n", + "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "2b6f7463", + "metadata": {}, + "outputs": [ + { + "data": { + 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\n", 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\n", 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\n", 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\n"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\n", 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98Ja1l+mZ/vMf/5D3nr2SHZ/+yBfdj763nK23254dn/6Mhx/vsMevk62y3ufoX0/XOga9B8uXL+dvz72IJ+6829DruOPay3jvN3+63uf92Y/u4O1HvWKtMOx/Xze2jkG19Ncx6Hn7ddUxjNlaxzBtXevofc9guPdgtteh0RnVru1UbfhX5DRIcgRwaFX9t/bxHwIHVtWf9s13HHBc+/BZwA2P8il3Bn70KJcdl2mvcdrrg+mvcdrrg+mvcdrrg+mr8Veqam5/46ayZTHoJ9g6KVdVZwJnPuYnS5ZW1aLHup5RmvYap70+mP4ap70+mP4ap70+2DRqhE3nehargN17Hs8Hbp9QLZK0xdlUwuJbwMIkeySZAywGLpxwTZK0xdgkdkNV1Zokfwp8kebQ2U9U1YoRPuVj3pU1BtNe47TXB9Nf47TXB9Nf47TXB5tGjZtGB7ckabI2ld1QkqQJMiwkSZ226LBIcmiSG5KsTPLOAdOT5MPt9GuSPHfK6nttW9c1Sb6RZL9x1jdMjT3zPS/Jg+05M1NVX5KXJLkqyYokXx1nfcPUmGSHJJ9NcnVb4x+Pub5PJLkrycAzACf9ORmyxol+Vrrq65lvIp+ToVTVFnmj6Sj/HrAnMAe4Gti7b55XAZ+nOc/jIODyKavvhcCO7f1XjrO+YWvsme/LwOeAI6apPuApNCMBPKN9vMu0vYfAu4D3t/fnAj8G5oyxxhcDzwWWr2f6xD4nG1HjpD8rG6yv5//C2D8nw9625C2Lh4cQqarVwMwQIr0OA86pxjeBpyTZrX9Fk6qvqr5RVf/ePvwmzfkn4zTMewjwBuDTwF3jLI7h6vsD4PyquhWgqqaxxgKenCTAk2jCYs24Cqyqr7XPuT6T/JwA3TVO+rMyxHsIk/ucDGVLDot5wA96Hq9q2zZ2nlHZ2Oc+lubX3Th11phkHvAa4KNjrGvGMO/hrwE7JrkkyZVJjh5bdY1havwHYC+aE1GvBd5YVQ+Np7yhTPJz8mhM4rOyQRP+nAxlkzjPYkSGGUJkqGFGRmTo507yUpoPwG+OtKIBTz2grb/GU4F3VNWDzQ/jsRqmvscBBwAHA9sBlyX5ZlV9d9TFtYap8RDgKuBlwDOBi5JcWlU/GXFtw5rk52SjTPCz0uVUJvc5GcqWHBbDDCEyyWFGhnruJL8BfAx4ZVXdM6baZgxT4yLgvPYDsDPwqiRrqupfp6S+VcCPqupnwM+SfA3YDxhXWAxT4x8DJ1ezY3tlkpuBZwNXjKfETpvEcDwT/qx0meTnZDiT7jSZ1I0mKG8C9uCRjsV9+ub5bdbuuLtiyup7BrASeOG0vod985/FeDu4h3kP9wIubud9ArAc2HfKajwDeHd7f1fgNmDnMf9bL2D9nccT+5xsRI0T/ax01dc331g/J8Pettgti1rPECJJ/kc7/aM0RyW8iuY/2c9pfuFNU33/G3gqcHr7i2RNjXH0yiFrnJhh6quq65N8AbgGeIjmKowbd5GIEdcI/DVwVpJrab6Q31FVYxvSOsm5wEuAnZOsAv4S2Kanvol9Tjaixol+Voaob+o53IckqdOWfDSUJGlIhoUkqZNhIUnqZFhIkjoZFpKkToaFJKmTYaFZl+RpSc5L8r0k1yX5XJJfa6e9Ockvk+zQM/8TknwyybVJlif5epIntdN+2rfuP0ryD0PUcHV7bHtv21lJbm6nfTfJOe2YPLRjQx3SN/+bkpze3p+b5IEk/71vnluSfLrn8RFJzup5/MokS5Ncn+Q7SU5p29+d5LY0Q6PP3J6yntfykiT39sz3pQHruC7JUQNe68wy3+iZdng7VPd32vf7iJ5plyRZ1PN4wcyw2gPquCrJy9tpleTvepZ7a5J39zw+un2uFW2tb03yviTv75nnV5LctL73QZNlWGhWpTnj6TPAJVX1zKram2aI7V3bWY4CvkUzaNqMNwJ3VtWvV9W+NGP3PPAYatiL5v/2i5M8sW/y26pqP+BZwDLgK0nmAOcCi/vmXdy2AxxJM1rpUaxrUZJ9BtSxL80ggK+rqr2AfWnO1p7xwap6Ts/tPzbwsi7tme/l/eugGfn1/yTZpu+1zizzwram/YBTgMOq6tnAfwben+SADTz3+up4TlV9qW2/H/jdJDsPeB9eCbwJ+K2q2odmqO57aU42PKz99wL4EPC/Ot4HTYhhodn2UuCB3rNSq+qqqro0yTNphtj+n6z9pbsbzRAWM/PfUFX3P4Ya/gD4R+D/Ab8zaIZqfBD4Ic31DT4FvDrJttD8ogaeDny9XeQo4M+B+TNbIz1OoQnEfm8HTqqq77TPuaaqTn8Mr2u9qupGmrOnd+yY9a3A+6rq5na5m4H30by2x2INcCbw5gHTTgTeWlW3t8/5y6r6v1X1C+AtNGdVvxJ4clV98jHWoRExLDTb9gWuXM+0o2h+qV8KPCvJLm37J4B3JLksyXuTLOxZZrve3R7AXw1Rw+8D/9w+16AtgV7fBp5dzcByVwCHtu2LgX+uqkqyO/C0qroCWNKuv9cS4LlJfrWvfUPvBcCbe17bVzrq/E898/5F/8Q0V6e7sda+HscHepaZ+RLeZ0BNS4G9O55/UB1XtT8AZpwGvDY9uxhb630fqupzNNd5OAd4/ZA1aAK22LGhNBGLgddU1UNJzqfZtXNaVV2VZE/gt4CXA99K8oKquh74RbubBWj6LGhG6BwoyfOAu6vq+2nG4PlEkh3rkQvfrLNIz/2ZXVEXtH//a0/dS9r75wEfB/6+Z7kHgQ/Q/ILemOskfLCqThly3kur6tUD2t+c5E9orrR3aN+0t1XVp/rawoaH4h80/k9v2/rqoKp+kuQc4M+AXwyaZz1OA7arqhs2YhmNmVsWmm0raK4PsZY0w0MvpLkWwy00X8AP/+qvqp9W1flV9Xrgn2gGpns0jgKe3T7H94Dtgf+ygfn3B65v7/8rcHD7K327qvp2zzr/qF3nhcB+fVs/0Oz2ejHN6KYzBr4Xs+yDVfUsmq2dc5I8vmP+Fawbts+l2boAuIe1d2XtBGzMoIWn0vQ59fYVdb0PD7U3TTHDQrPty8C27a9d4OFf+x+iGWZ7QXt7OjCvPQLmRUl2bOedQ7NL5Psb+8RJtqLZWvmNmeeh6fhdZ1dUGn9G01/yBWgCC7iEZrfYue18zwKeWFXzetb5N/R1hlfVA8AHaTpyZ3wAeFceORJsqyRv2djXNYyqOp/mC/+YjllPAU5s+2Rm+mbe1NYKzet/XXugAu36unaR9dbxY5qtsGN7mv8G+NskT2ufc9v2vdcmxLDQrKpmGOPXAK9Ic+jsCuDdNMMzf6Zv9s/QfOk+E/hqmiG4l9F86X2ajfdi4Laquq2n7WvA3nnkmtAfSHI1zcWNnge8tJprX884l+biR+e1j48aUPenGdwX8nF6du1W1TU0X8TnJrme5loZvdem7u2zuGrmC/wx+CvgLW1owtp9FlclmVNVVwHvAD6b5Ls078PxPbuAzgTuA65u36cn0QTMjP4+iyNY19/RXMAHeLhf4jTgS+3/hytxF/gmxyHKpS1YkpOBA4FD+kJTWothIUnq5KagNknt4aNH9jX/S1WdNIl6ZkOaM8jf39d8c1W9ZtD80ji5ZSFJ6mQHtySpk2EhSepkWEiSOhkWkqRO/x/di6uOBG36eQAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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KgSFJasVjGAI840rSvhkYI2j6lzf0/wvcM64k7YuBMYKmf3nDYL7APeNK0t4MvM8hyTFJvp7kjiSbkrytaT8iybVJ7moeD+9a5uIkk0nuTHLGoGsehl1f3rt+DjlqxbBLkrTADaOTegfwH6rqN4HTgAuSnAhcBFxXVSuB65rnNK+tBU4CzgTWJ1nU850lSX0z8MCoqs1VdVMz/TBwB7AcOAu4opntCuDsZvos4Mqq2l5V9wKTwKkDLVqSNNzTapMcC7wIuB44uqo2QydUgKOa2ZYDD3QtNtW09Xq/85JsTLJx69atfatbkhaioR30TnII8DfAhVX18yQzztqjrXrNWFWXAZcBrFq1quc8Gg297rcB3ltDGmVDCYwkT6cTFp+uqs82zQ8lWVZVm5MsA7Y07VPAMV2LrwAeHFy16ode99vw3hrSaBt4YKSzK/Ex4I6qen/XSxuAc4BLmsdrutr/Msn7gecAK4EbBlex+mX6/TYkjbZh7GG8DPhD4NYkNzdt/5lOUFyV5FzgfuANAFW1KclVwO10zrC6oKp2Drxq9dTrIkOwa0k6EA08MKrqH+h9XALg9BmWWQes61tRmrVeFxnOZdeSxzqk0eGV3tP4BfXUdV8hPpPp/65thzrxWIc0OgyMafyC6o/p/65PZagTj3VIo8HA6OFA+oIaxkCGM+n+d3WsKmn+MTAOcMMayFDSgcfAWACmH2Pwr3tJs+EdciRJrRgYkqRWDAxJUisGhiSpFQ96a2SM0inAkvZkYGhktD0FuFewtLkS36v4pf1jYGiktDkFeHqwtL0S36v4pf1jYGheajN+VS8H0lX80qDZOSxJasU9DB2Qeh2v8AC6tH8MjBamH2T1i2e0zHR21eX/cA+HH7Nyd5tjaEn7x8BoYfpBVr94Rsvezq56qmNoeSaVNDMDo6Xug6wO3jd65mqARc+kkmZmYEjTeCaV1JuBoQVttsen2nRd2b2lA42BoQWtzfGptgfVp3ddzWX3luGjUWBgaMHb1/GptgfVe+2tHPac581J99b+hE+vsDFoNBsGhtTCbIYsaXs2Xa8v9O3btwOwePFiYP/CZ3rYeBBfszVvAiPJmcAHgEXAR6vqkiGXJO1hNmfT9dp7mLrpGyw69NksW/lbzfN2XWXTgwb2DJtey8HsB3B0b2XhmBeBkWQR8L+AVwFTwHiSDVV1+3ArUy8OU/7UTT8za9vUJActXTaLrrInB02n7clh02u5n973Pc59+QQvfOELd7fNFD7dx27cW1lY5kVgAKcCk1V1D0CSK4GzgL4ExvRfzl9smWLRI4+w9ZBn9Xy+P20H4nttvuUfee//+zmHf/W23W0/vuc2lh7/Ap72tIxUrYN+r21Tk0xM7KTbxMQE26bufVJb67oOfTZtPLz5nie/17TlfvmTH/HeT31/j2226OBDOXzZc5/UtvT4F+xRv0ZHP8M7VdW3N58rSV4PnFlV/655/ofAb1fVW6fNdx5wXvP0N4A7Z/FxRwI/3o9yR4nrMppcl9FzoKwH7P+6PLeqxnq9MF/2MNKjbY+kq6rLgMv264OSjVW1an/eY1S4LqPJdRk9B8p6QH/XZb50Kk8Bx3Q9XwE8OKRaJGlBmi+BMQ6sTHJckmcAa4ENQ65JkhaUedElVVU7krwV+Ds6p9VeXlWb+vRx+9WlNWJcl9HkuoyeA2U9oI/rMi8OekuShm++dElJkobMwJAktWJgdElyZpI7k0wmuWjY9fSS5AdJbk1yc5KNTdsRSa5NclfzeHjX/Bc363NnkjO62l/SvM9kkg8m6XXq8lzXfnmSLUlu62qbs9qTLE7yV0379UmOHfC6vDvJD5ttc3OSV4/6uiQ5JsnXk9yRZFOStzXt82677GVd5uN2WZLkhiQTzbq8p2kf7napKn86x3EWAXcDxwPPACaAE4ddV486fwAcOa3tvwEXNdMXAe9tpk9s1mMxcFyzfoua124AXkrnGpcvAb83gNpfDrwYuK0ftQPnAx9pptcCfzXgdXk38B97zDuy6wIsA17cTB8KfL+pd95tl72sy3zcLgEOaaafDlwPnDbs7eIexhN2Dz9SVb8Cdg0/Mh+cBVzRTF8BnN3VfmVVba+qe4FJ4NQky4DDqurb1fnf8smuZfqmqr4J/LSPtXe/19XA6f3ac5phXWYysutSVZur6qZm+mHgDmA583C77GVdZjLK61JV9Yvm6dObn2LI28XAeMJy4IGu51Ps/T/bsBTwlSQ3pjMUCsDRVbUZOr80wFFN+0zrtLyZnt4+DHNZ++5lqmoH8DOg3WBLc+etSW5puqx2dRfMi3VpuiReROev2Xm9XaatC8zD7ZJkUZKbgS3AtVU19O1iYDyh1fAjI+BlVfVi4PeAC5K8fC/zzrRO82FdZ1P7sNfrw8DzgFOAzcD/aNpHfl2SHAL8DXBhVf18b7P2aBv1dZmX26WqdlbVKXRGtjg1ycl7mX0g62JgPGFeDD9SVQ82j1uAz9HpSnuo2fWkedzSzD7TOk0109Pbh2Eua9+9TJKDgF+jfbfRfquqh5pf8seB/0Nn2zyprsZIrUuSp9P5gv10VX22aZ6X26XXuszX7bJLVW0DvgGcyZC3i4HxhJEffiTJs5Icumsa+FfAbXTqPKeZ7RzgmmZ6A7C2ORviOGAlcEOzK/twktOaPss3dy0zaHNZe/d7vR74WtNvOxC7fpEbr6OzbXbVNZLr0nzux4A7qur9XS/Nu+0y07rM0+0ylmRpM30w8Ergewx7u/TjCP98/QFeTefMiruBdw67nh71HU/nTIgJYNOuGun0O14H3NU8HtG1zDub9bmTrjOhgFV0fnHuBj5Ec9V/n+v/DJ0ugcfo/HVz7lzWDiwB/prOAb8bgOMHvC6fAm4Fbml+GZeN+roA/4JON8QtwM3Nz6vn43bZy7rMx+3yAuC7Tc23Af+laR/qdnFoEElSK3ZJSZJaMTAkSa0YGJKkVgwMSVIrBoYkqRUDQ5LUioGhBSfJP0tyZZK7k9ye5ItJnp/kkXSGv749ySebq4ZJ8ookP8sTw2PfnOSVzWs7m+eb0hmK+u1Jnta13BeSvKVruV/lieHpL5mhvj9K8qEe7T9IcmQzXUk+1fXaQUm2JvlC93skeWfXZ+/smv6zuf+X1YFuXtzTW5orzdWunwOuqKq1TdspwNHA3VV1SpJFwLXAG4FPN4t+q6pe0+MtH6nOeD8kOQr4SzpDLLxr1wxV9XHg4808PwB+t6p+vJ+r8k/AyUkOrqpHgFcBP5w+U1WtA9Y1n/2LXbVKs+Eehhaa3wUeq6qP7GqoqpvpGumzqnbSufL1KY3gW53xvc6jMzJq329IRefeBr/fTL+JztXnUt8YGFpoTgZu3NsMSZYAvw18uat5zbQuqef1Wraq7qHze3VUr9fn2JV0xg9aQmcoiev3Mb+0X+ySkp7wvHTuP7ASuLqqbul6baYuqV4GsXdBVd2Szn0f3gR8cRCfqYXNPQwtNJuAl8zw2t1NH/8JwGlJXvtU3zzJ8cBOnhh2ut82AO/D7igNgIGhheZrwOIkf7yrIclq4Lm7nldnSOiLgIufyhsnGQM+AnyoBjeq5+XAf62qWwf0eVrADAwtKM0X+euAVzWn1W4C3s2eN5D6PPDMJGua59OPYby+aT9412m1wFeBrwDvmYNS/yjJVNfPil4zVdVUVX1gDj5P2ieHN5ckteIehiSpFc+SkoYkyVuAt01r/sequmAY9Uj7YpeUJKkVu6QkSa0YGJKkVgwMSVIrBoYkqZX/D31v/ZGud3wtAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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\n", 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"execute_result" + } + ], + "source": [ + "df.skew()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1c2824cc", + "metadata": {}, + "outputs": [], + "source": [ + "for col in df:\n", + " df[col]=np.sqrt(df[col])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "73b0e379", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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eIMlFwEnAWMLi3m2bAfjR97ay6Cf38f299nrE+Fy+tqDq2nv/nV7/P/r+ds4673L2f+qN3H3bLSzaa1/2f+qgw8bu+PBrP/reNt73xhNYsWIFGzdu5AOfvpK9Dzx41vlmW353edJCMa7eG1I1/w/CJ3kNsKqqfr2Nvwn4F1X1tqHpTgNOa6PPBm59lG95EHDXo5x3nOZjXfOxJrCunTEfawLr2hm7sqanV9Xi4caFsmeRadoekXJVdS5w7mN+s2RdVa18rMvZ1eZjXfOxJrCunTEfawLr2hmTqGmh3IN7M3BoZ3wZcOcc1SJJu52FEhbXACuSHJbkScBqYO0c1yRJu40FcRiqqnYkeRvwRQaXzp5XVevH+JaP+VDWmMzHuuZjTWBdO2M+1gTWtTPGXtOCOMEtSZpbC+UwlCRpDhkWkqRehkVHklVJbk2yKckZc1jHoUm+nOSWJOuTvL21vz/JPyS5vj1eMQe1fTvJje3917W2A5NckWRjez5ggvU8u7M+rk/ygyTvmIt1leS8JNuS3NRpm3HdJDmzfdZuTXLihOv6SJINSb6Z5HNJ9m/ty5P8uLPePjHhumb8vU1ifc1Q05936vl2kutb+yTX1UzbhMl9vqrKx+C8zSLgW8AzgCcBNwBHzFEtS4DnteF9gf8LHAG8H3j3HK+nbwMHDbV9GDijDZ8BfGgOf4ffBZ4+F+sK+EXgecBNfeum/T5vAPYEDmufvUUTrOtlwB5t+EOdupZ3p5uD9TXt721S62u6moZe/wPgP87BupppmzCxz5d7Fg95sEuRqvonYKpLkYmrqi1VdV0bvge4BVg6F7WM6CTggjZ8AXDyHNVxAvCtqrp9Lt68qv4W+N5Q80zr5iTgoqq6r6puAzYx+AxOpK6q+lJV7Wij/4fBd5cmaob1NZOJrK/ZakoS4HXAZ3b1+/aZZZswsc+XYfGQpUC3h7zNzIMNdJLlwHOBr7emt7VDB+dN8nBPRwFfSnJt614F4JCq2gKDDzVw8BzUBYPv33T/kOd6XcHM62Y+fd7+NXB5Z/ywJN9I8tUkL5yDeqb7vc2H9fVCYGtVbey0TXxdDW0TJvb5MiweMlKXIpOUZB/gs8A7quoHwDnAM4GjgS0Mdokn7fiqeh7wcuD0JL84BzU8Qvuy5quAv2hN82FdzWZefN6SnAXsAC5sTVuAp1XVc4F3Af8jyX4TLGmm39t8WF+v5+H/jEx8XU2zTZhx0mnaHtP6MiweMq+6FEnyRAYfigur6hKAqtpaVfdX1QPAnzCmwxazqao72/M24HOthq1JlrS6lwDbJl0Xg/C6rqq2tvrmfF01M62bOf+8JTkVeCXwhmoHutthi7vb8LUMjnX/80nVNMvvbU7XV5I9gH8F/Hmn1omuq+m2CUzw82VYPGTedCnSjo3+KXBLVf1hp31JZ7JXAzcNzzvmun4qyb5TwwxOkt7EYD2d2iY7Fbh0knU1D/uvb67XVcdM62YtsDrJnkkOA1YAV0+qqAxuJvZe4FVV9aNO++IM7h9Dkme0uv5+gnXN9Hub0/UFvATYUFWbpxomua5m2iYwyc/XJM7kL5QH8AoGVxl8CzhrDut4AYNdxm8C17fHK4A/A25s7WuBJROu6xkMrrC4AVg/tY6AnwauBDa25wMnXNfewN3AUzptE19XDMJqC/D/GPxn9+bZ1g1wVvus3Qq8fMJ1bWJwTHvq8/WJNu2vtN/tDcB1wC9PuK4Zf2+TWF/T1dTazwfeMjTtJNfVTNuEiX2+7O5DktTLw1CSpF6GhSSpl2EhSeplWEiSehkWkqRehoUkqZdhoQUhybIkl7aumL+V5I+SPCnJi5JUkl/uTHtZkhe14a+0LpqnupH+y850p2XQTfeGJFcneUHnteH5XtPa78/Du0RfPkO9L0ryj63foFuSvK+1/1qS/zY07VeSrGzDU13Af7P1N/T0znSnJLkpgy6qb07y7tZ+/lR9nWnvHRp/Z5KfJHlKp23vJBe297spyd+17iSm+znPaO2vbD/TDa2G3xzh16fHgQVxD27t3tq3Vy8Bzqmqk9q3Zs8F1gD/k8GXp84CPj/DIt5QVeuGlvlK4DeBF1TVXUmeB/xVkmOr6rszzQf8uKqOHrH0r1XVK9u33a9PctmI8/1Sq+kDwL8HfiPJy4F3AC+rqjuTPBl404jLg8E33K9h8K3o81vb2xl0jPezMLg3CIMvo8E0P2frbuJc4Niq2pxkTwbddGs34J6FFoIXAz+pqv8OUFX3A+9k0Fvq3gy+QfuPSV66E8t8L/CeqrqrLfM6Bl08n74rC2/L/iFwLYMO8nbGVTzUU+iZDO7zMNU310+q6k9GWUiSZwL7MAie13deWgL8Q6fOW6vqvlkWtS+DfzCn+kO6r6puHfFn0QJnWGghOJLBxvZBNehx8zvAs1rT7zHYGE7nws7hlI/MtExgXWufbr6fbm17ddo+N0rxbd7jGHQNsTNWAX/Vho+apt6uj3QPGw29NtVv1teAZyeZ6sb6POC9Sa5K8ntJVnTm6f6c1yf51ar6HoMuOG5P8pkkb0jiNmQ34WEoLQRh+u6VH2yvqq8lIdPfU2C6w0mjvM9jPQz1wiTfAB4APlhV66fOTUyj+75fTnIIgx5EZwrAYe+pqu75mO45i9XAq6vqgSSXAK8FPl5V12fQAd7LGHSUd02S51fVLczwc1bVryf52Tb9u4GXAr82Yo1awPyvQAvBeuBhG9kM7htwKIOO0qasYXDuYhQ3A8cMtT2vte8qX6uq51bVMVU1dX/mu4HhGzEdCNzVGf8lBreGXQ/8bmtbP029vZL8HIMeR69I8m0GwfHgoaiqureqLqmq3wI+zaBzullV1Y1V9V8YBMWv7GxNWpgMCy0EVwJ7JzkFoJ3g/gMGJ2of7F67qr7EYEP8nBGW+WHgQ1OHl5IczeA/5LN3Yd3TuQY4PslT2/uuZHCf5O5dzaiqHzM4oX1KkgOB/wx8uDPfnkn+7Qjv93rg/VW1vD3+GbA0ydOTHJ92J7oMuuU/ApjxlrRJ9km7yqw5erbp9fjiYSjNe1VVSV4NnJ3kPzD4J+cLwO8Azx+afA2PvJ/GhUl+3IbvqqqXVNXaJEuB/52kgHuAN1a7ReW4VNXWJG8HvtCO998LvL4GN/sZnnZLks8Ap1fVf2qHpv6mXR1WDM459FnN4MZQXZ9r7VuAc9rynsDgyrLPtmn2Gjr38dcM1u1vJ/lj4MfAD/EQ1G7DLsolSb08DCVJ6uVhKOkxSHIi8KGh5tuq6tVzUY80Lh6GkiT18jCUJKmXYSFJ6mVYSJJ6GRaSpF7/H6gSQq9J78ZnAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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\n", 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\n", 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BALANCEBALANCE_FREQUENCYPURCHASESONEOFF_PURCHASESINSTALLMENTS_PURCHASESCASH_ADVANCEPURCHASES_FREQUENCYONEOFF_PURCHASES_FREQUENCYPURCHASES_INSTALLMENTS_FREQUENCYCASH_ADVANCE_FREQUENCYCASH_ADVANCE_TRXPURCHASES_TRXCREDIT_LIMITPAYMENTSMINIMUM_PAYMENTSPRC_FULL_PAYMENTTENURE
BALANCE1.0000000.4395500.1022170.1729330.0136760.575879-0.1533060.102318-0.1280570.5315580.5255050.0428190.4567400.4034220.663993-0.4538930.079000
BALANCE_FREQUENCY0.4395501.0000000.1669030.1478460.1420730.1385450.1542650.1811960.1237370.1928520.1805040.1947520.0931660.1711350.192395-0.0567150.093694
PURCHASES0.1022170.1669031.0000000.8526250.728559-0.2362330.6874280.6720550.527451-0.300179-0.2543180.8431750.3418950.4960920.0793840.2458800.116914
ONEOFF_PURCHASES0.1729330.1478460.8526251.0000000.306789-0.1234100.4221810.8243240.154497-0.156438-0.1291460.6378280.3527430.4712650.0518730.1138100.090035
INSTALLMENTS_PURCHASES0.0136760.1420730.7285590.3067891.000000-0.2303970.6831540.2313400.815592-0.292878-0.2470260.7574270.2052100.3300050.0785730.2699620.108182
CASH_ADVANCE0.5758790.138545-0.236233-0.123410-0.2303971.000000-0.392948-0.152434-0.3090580.8342900.848970-0.2731810.2610010.3688250.325816-0.233943-0.096013
PURCHASES_FREQUENCY-0.1533060.1542650.6874280.4221810.683154-0.3929481.0000000.5080310.831387-0.457631-0.3977220.8207860.1106450.122729-0.0534350.3084740.066970
ONEOFF_PURCHASES_FREQUENCY0.1023180.1811960.6720550.8243240.231340-0.1524340.5080311.0000000.130807-0.164373-0.1375420.6276960.2964550.300928-0.0096300.0990640.083856
PURCHASES_INSTALLMENTS_FREQUENCY-0.1280570.1237370.5274510.1544970.815592-0.3090580.8313870.1308071.000000-0.366260-0.3155830.7154720.0583780.102431-0.0182770.2757390.073884
CASH_ADVANCE_FREQUENCY0.5315580.192852-0.300179-0.156438-0.2928780.834290-0.457631-0.164373-0.3662601.0000000.939703-0.3254920.1006580.2058750.278039-0.305366-0.124117
CASH_ADVANCE_TRX0.5255050.180504-0.254318-0.129146-0.2470260.848970-0.397722-0.137542-0.3155830.9397031.000000-0.2731080.1339330.2566740.302627-0.266926-0.072471
PURCHASES_TRX0.0428190.1947520.8431750.6378280.757427-0.2731810.8207860.6276960.715472-0.325492-0.2731081.0000000.2505220.3418450.0626090.2404290.145224
CREDIT_LIMIT0.4567400.0931660.3418950.3527430.2052100.2610010.1106450.2964550.0583780.1006580.1339330.2505221.0000000.4610190.2287660.0398250.158845
PAYMENTS0.4034220.1711350.4960920.4712650.3300050.3688250.1227290.3009280.1024310.2058750.2566740.3418450.4610191.0000000.2414520.1756190.174052
MINIMUM_PAYMENTS0.6639930.1923950.0793840.0518730.0785730.325816-0.053435-0.009630-0.0182770.2780390.3026270.0626090.2287660.2414521.000000-0.3196880.103005
PRC_FULL_PAYMENT-0.453893-0.0567150.2458800.1138100.269962-0.2339430.3084740.0990640.275739-0.305366-0.2669260.2404290.0398250.175619-0.3196881.000000-0.001969
TENURE0.0790000.0936940.1169140.0900350.108182-0.0960130.0669700.0838560.073884-0.124117-0.0724710.1452240.1588450.1740520.103005-0.0019691.000000
\n", + "
" + ], + "text/plain": [ + " BALANCE BALANCE_FREQUENCY PURCHASES \\\n", + "BALANCE 1.000000 0.439550 0.102217 \n", + "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n", + "PURCHASES 0.102217 0.166903 1.000000 \n", + "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n", + "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n", + "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n", + "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n", + "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n", + "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n", + "PURCHASES_TRX 0.042819 0.194752 0.843175 \n", + "CREDIT_LIMIT 0.456740 0.093166 0.341895 \n", + "PAYMENTS 0.403422 0.171135 0.496092 \n", + "MINIMUM_PAYMENTS 0.663993 0.192395 0.079384 \n", + "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n", + "TENURE 0.079000 0.093694 0.116914 \n", + "\n", + " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n", + "BALANCE 0.172933 0.013676 \n", + "BALANCE_FREQUENCY 0.147846 0.142073 \n", + "PURCHASES 0.852625 0.728559 \n", + "ONEOFF_PURCHASES 1.000000 0.306789 \n", + "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n", + "CASH_ADVANCE -0.123410 -0.230397 \n", + "PURCHASES_FREQUENCY 0.422181 0.683154 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n", + "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n", + "CASH_ADVANCE_TRX -0.129146 -0.247026 \n", + "PURCHASES_TRX 0.637828 0.757427 \n", + "CREDIT_LIMIT 0.352743 0.205210 \n", + "PAYMENTS 0.471265 0.330005 \n", + "MINIMUM_PAYMENTS 0.051873 0.078573 \n", + "PRC_FULL_PAYMENT 0.113810 0.269962 \n", + "TENURE 0.090035 0.108182 \n", + "\n", + " CASH_ADVANCE PURCHASES_FREQUENCY \\\n", + "BALANCE 0.575879 -0.153306 \n", + "BALANCE_FREQUENCY 0.138545 0.154265 \n", + "PURCHASES -0.236233 0.687428 \n", + "ONEOFF_PURCHASES -0.123410 0.422181 \n", + "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n", + "CASH_ADVANCE 1.000000 -0.392948 \n", + "PURCHASES_FREQUENCY -0.392948 1.000000 \n", + "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n", + "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n", + "CASH_ADVANCE_TRX 0.848970 -0.397722 \n", + "PURCHASES_TRX -0.273181 0.820786 \n", + "CREDIT_LIMIT 0.261001 0.110645 \n", + "PAYMENTS 0.368825 0.122729 \n", + "MINIMUM_PAYMENTS 0.325816 -0.053435 \n", + "PRC_FULL_PAYMENT -0.233943 0.308474 \n", + "TENURE -0.096013 0.066970 \n", + "\n", + " ONEOFF_PURCHASES_FREQUENCY \\\n", + "BALANCE 0.102318 \n", + "BALANCE_FREQUENCY 0.181196 \n", + "PURCHASES 0.672055 \n", + "ONEOFF_PURCHASES 0.824324 \n", + "INSTALLMENTS_PURCHASES 0.231340 \n", + "CASH_ADVANCE -0.152434 \n", + "PURCHASES_FREQUENCY 0.508031 \n", + "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n", + "CASH_ADVANCE_FREQUENCY -0.164373 \n", + "CASH_ADVANCE_TRX -0.137542 \n", + "PURCHASES_TRX 0.627696 \n", + "CREDIT_LIMIT 0.296455 \n", + "PAYMENTS 0.300928 \n", + "MINIMUM_PAYMENTS -0.009630 \n", + "PRC_FULL_PAYMENT 0.099064 \n", + "TENURE 0.083856 \n", + "\n", + " PURCHASES_INSTALLMENTS_FREQUENCY \\\n", + "BALANCE -0.128057 \n", + "BALANCE_FREQUENCY 0.123737 \n", + "PURCHASES 0.527451 \n", + "ONEOFF_PURCHASES 0.154497 \n", + "INSTALLMENTS_PURCHASES 0.815592 \n", + "CASH_ADVANCE -0.309058 \n", + "PURCHASES_FREQUENCY 0.831387 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n", + "CASH_ADVANCE_FREQUENCY -0.366260 \n", + "CASH_ADVANCE_TRX -0.315583 \n", + "PURCHASES_TRX 0.715472 \n", + "CREDIT_LIMIT 0.058378 \n", + "PAYMENTS 0.102431 \n", + "MINIMUM_PAYMENTS -0.018277 \n", + "PRC_FULL_PAYMENT 0.275739 \n", + "TENURE 0.073884 \n", + "\n", + " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n", + "BALANCE 0.531558 0.525505 \n", + "BALANCE_FREQUENCY 0.192852 0.180504 \n", + "PURCHASES -0.300179 -0.254318 \n", + "ONEOFF_PURCHASES -0.156438 -0.129146 \n", + "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n", + "CASH_ADVANCE 0.834290 0.848970 \n", + "PURCHASES_FREQUENCY -0.457631 -0.397722 \n", + "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n", + "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n", + "CASH_ADVANCE_TRX 0.939703 1.000000 \n", + "PURCHASES_TRX -0.325492 -0.273108 \n", + "CREDIT_LIMIT 0.100658 0.133933 \n", + "PAYMENTS 0.205875 0.256674 \n", + "MINIMUM_PAYMENTS 0.278039 0.302627 \n", + "PRC_FULL_PAYMENT -0.305366 -0.266926 \n", + "TENURE -0.124117 -0.072471 \n", + "\n", + " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n", + "BALANCE 0.042819 0.456740 0.403422 \n", + "BALANCE_FREQUENCY 0.194752 0.093166 0.171135 \n", + "PURCHASES 0.843175 0.341895 0.496092 \n", + "ONEOFF_PURCHASES 0.637828 0.352743 0.471265 \n", + "INSTALLMENTS_PURCHASES 0.757427 0.205210 0.330005 \n", + "CASH_ADVANCE -0.273181 0.261001 0.368825 \n", + "PURCHASES_FREQUENCY 0.820786 0.110645 0.122729 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296455 0.300928 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058378 0.102431 \n", + "CASH_ADVANCE_FREQUENCY -0.325492 0.100658 0.205875 \n", + "CASH_ADVANCE_TRX -0.273108 0.133933 0.256674 \n", + "PURCHASES_TRX 1.000000 0.250522 0.341845 \n", + "CREDIT_LIMIT 0.250522 1.000000 0.461019 \n", + "PAYMENTS 0.341845 0.461019 1.000000 \n", + "MINIMUM_PAYMENTS 0.062609 0.228766 0.241452 \n", + "PRC_FULL_PAYMENT 0.240429 0.039825 0.175619 \n", + "TENURE 0.145224 0.158845 0.174052 \n", + "\n", + " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n", + "BALANCE 0.663993 -0.453893 0.079000 \n", + "BALANCE_FREQUENCY 0.192395 -0.056715 0.093694 \n", + "PURCHASES 0.079384 0.245880 0.116914 \n", + "ONEOFF_PURCHASES 0.051873 0.113810 0.090035 \n", + "INSTALLMENTS_PURCHASES 0.078573 0.269962 0.108182 \n", + "CASH_ADVANCE 0.325816 -0.233943 -0.096013 \n", + "PURCHASES_FREQUENCY -0.053435 0.308474 0.066970 \n", + "ONEOFF_PURCHASES_FREQUENCY -0.009630 0.099064 0.083856 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.018277 0.275739 0.073884 \n", + "CASH_ADVANCE_FREQUENCY 0.278039 -0.305366 -0.124117 \n", + "CASH_ADVANCE_TRX 0.302627 -0.266926 -0.072471 \n", + "PURCHASES_TRX 0.062609 0.240429 0.145224 \n", + "CREDIT_LIMIT 0.228766 0.039825 0.158845 \n", + "PAYMENTS 0.241452 0.175619 0.174052 \n", + "MINIMUM_PAYMENTS 1.000000 -0.319688 0.103005 \n", + "PRC_FULL_PAYMENT -0.319688 1.000000 -0.001969 \n", + "TENURE 0.103005 -0.001969 1.000000 " + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.corr()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "6bb5b02f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Correlation between different fearures')" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "correlation = df.corr()\n", + "plt.figure(figsize=(17,17))\n", + "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n", + "\n", + "plt.title('Correlation between different fearures')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "4858185d", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "df_std = StandardScaler().fit_transform(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "a5caaf6f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Cumulative explained variance')" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "pca = PCA().fit(df_std)\n", + "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", + "plt.xlim(0,16,1)\n", + "plt.xlabel('Number of components')\n", + "plt.ylabel('Cumulative explained variance')" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "be34e4ce", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.decomposition import PCA \n", + "sklearn_pca = PCA(n_components=7)\n", + "Y_sklearn = sklearn_pca.fit_transform(df_std)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "1da8407b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-0.88512191 -2.48301693 0.23090242 ... 0.04336989 -0.38202562\n", + " -0.35720617]\n", + " [-3.00034342 2.01508943 -0.16533426 ... 1.67093843 -0.28801526\n", + " 0.94274938]\n", + " [ 1.19172624 0.38517395 -1.92678896 ... -0.55010278 -0.23006842\n", + " 0.52287556]\n", + " ...\n", + " [ 0.10596162 -3.06675754 1.18931984 ... -2.96585047 1.26333337\n", + " 1.97973232]\n", + " [-2.84716017 -2.51797947 -0.29519488 ... -2.99036079 0.69668999\n", + " 1.77427724]\n", + " [-0.16460436 -0.5243077 -1.64424995 ... -4.69253162 1.53231934\n", + " 0.09281539]]\n" + ] + } + ], + "source": [ + "print(Y_sklearn)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "40d8ff8c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(8950, 7)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y_sklearn.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "0dfe0cfe", + "metadata": {}, + "outputs": [], + "source": [ + "df=pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6','PC7'])" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "73417a0c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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21.1917260.385174-1.9267891.859338-0.550103-0.2300680.522876
3-0.7948050.218433-1.6615421.1956180.0589500.798510-0.086756
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89450.668484-2.8716961.452469-2.236975-2.8549430.7669812.343375
89460.262604-2.2402801.844972-0.568118-3.3392661.7066281.774529
89470.105962-3.0667581.189320-1.775107-2.9658501.2633331.979732
8948-2.847160-2.517979-0.295195-2.148352-2.9903610.6966901.774277
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], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "6e4cfdff", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "wcss = []\n", + "m = range(1,11)\n", + "for i in m:\n", + " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n", + " kmeans.fit(df)\n", + " wcss.append(kmeans.inertia_)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "d413ddb9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(m,wcss,'bx-')\n", + "plt.plot(range(1,11),wcss)\n", + "plt.xlabel('PC')\n", + "plt.ylabel('Inertia')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "c78613f8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC2\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "10a90699", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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PC1PC2PC3PC4PC5PC6PC7123Cluster
0-0.885122-2.4830170.2309020.8071290.043370-0.382026-0.3572065.7176271.9879373.9114312
1-3.0003432.015089-0.165334-1.0871711.670938-0.2880150.9427496.4138875.5023002.4531883
21.1917260.385174-1.9267891.859338-0.550103-0.2300680.5228763.3666503.4678664.7015231
3-0.7948050.218433-1.6615421.1956180.0589500.798510-0.0867564.4478153.1414412.9552053
4-1.265058-1.593317-0.6894361.339644-0.114019-0.8377370.2316005.5569422.5553263.3166092
....................................
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3.366650 3.467866 4.701523 1 \n", + "3 4.447815 3.141441 2.955205 3 \n", + "4 5.556942 2.555326 3.316609 2 \n", + "... ... ... ... ... \n", + "8945 6.891655 4.841445 6.715344 2 \n", + "8946 6.604518 4.608522 6.223211 2 \n", + "8947 7.025480 4.658972 6.416311 2 \n", + "8948 8.220182 5.554943 5.340378 3 \n", + "8949 6.404796 5.613511 6.016475 2 \n", + "\n", + "[8950 rows x 11 columns]" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "7d2cc28e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "color=['blue','green','cyan']\n", + "for k in range(K):\n", + " data=X[X[\"Cluster\"]==k+1]\n", + " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n", + "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='red')\n", + "plt.xlabel('PC1')\n", + "plt.ylabel('PC2')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "55253bd6", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From c735e896fac130d45e94119e06e6fc3d68b0a055 Mon Sep 17 00:00:00 2001 From: 210711amol <107047899+210711amol@users.noreply.github.com> Date: Fri, 24 Jun 2022 22:12:58 +0530 Subject: [PATCH 2/5] 210711_Amol_1 This is the new submission for assignment 1. --- Assignment 1/210711_Amol_1.ipynb | 2057 ++++++++++++++++++------------ 1 file changed, 1217 insertions(+), 840 deletions(-) diff --git a/Assignment 1/210711_Amol_1.ipynb b/Assignment 1/210711_Amol_1.ipynb index 9c00cdd..62b43ec 100644 --- a/Assignment 1/210711_Amol_1.ipynb +++ b/Assignment 1/210711_Amol_1.ipynb @@ -23,33 +23,21 @@ "metadata": {}, "outputs": [], "source": [ - "df = pd.read_csv('Dataset.csv')" + "df = pd.read_csv('Dataset.csv')\n", + "#importing the dataset provided" ] }, { "cell_type": "code", - "execution_count": 3, - "id": "d21baed1", + "execution_count": null, + "id": "fb384b5b", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Columns names:\n", - "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n" - ] - } - ], - "source": [ - "columns_names=df.columns.tolist()\n", - "print(\"Columns names:\")\n", - "print(columns_names)" - ] + "outputs": [], + "source": [] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "cd840d05", "metadata": {}, "outputs": [ @@ -59,7 +47,7 @@ "(8950, 18)" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -68,6 +56,27 @@ "df.shape" ] }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2f7d0525", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Columns names:\n", + "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n" + ] + } + ], + "source": [ + "columns_names=df.columns.tolist()\n", + "print(\"Columns names:\")\n", + "print(columns_names)" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -278,14 +287,60 @@ "metadata": {}, "outputs": [], "source": [ - "df.drop('CUST_ID', axis=1,inplace=True)" + "df.drop('CUST_ID', axis=1,inplace=True)\n", + "\n", + "#Here we drop the column containing customer IDs" ] }, { "cell_type": "code", "execution_count": 7, - "id": "b90b64cd", + "id": "da03d355", "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(8950, 17)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9698a3cc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Columns names:\n", + "['BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n" + ] + } + ], + "source": [ + "columns_names=df.columns.tolist()\n", + "print(\"Columns names:\")\n", + "print(columns_names)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b90b64cd", + "metadata": { + "scrolled": true + }, "outputs": [ { "data": { @@ -334,7 +389,7 @@ " 0.818182\n", " 95.40\n", " 0.00\n", - " 95.4\n", + " 95.40\n", " 0.000000\n", " 0.166667\n", " 0.000000\n", @@ -354,7 +409,7 @@ " 0.909091\n", " 0.00\n", " 0.00\n", - " 0.0\n", + " 0.00\n", " 6442.945483\n", " 0.000000\n", " 0.000000\n", @@ -374,7 +429,7 @@ " 1.000000\n", " 773.17\n", " 773.17\n", - " 0.0\n", + " 0.00\n", " 0.000000\n", " 1.000000\n", " 1.000000\n", @@ -394,7 +449,7 @@ " 0.636364\n", " 1499.00\n", " 1499.00\n", - " 0.0\n", + " 0.00\n", " 205.788017\n", " 0.083333\n", " 0.083333\n", @@ -414,7 +469,7 @@ " 1.000000\n", " 16.00\n", " 16.00\n", - " 0.0\n", + " 0.00\n", " 0.000000\n", " 0.083333\n", " 0.083333\n", @@ -428,83 +483,247 @@ " 0.000000\n", " 12\n", " \n", + " \n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " ...\n", + " \n", + " \n", + " 8945\n", + " 28.493517\n", + " 1.000000\n", + " 291.12\n", + " 0.00\n", + " 291.12\n", + " 0.000000\n", + " 1.000000\n", + " 0.000000\n", + " 0.833333\n", + " 0.000000\n", + " 0\n", + " 6\n", + " 1000.0\n", + " 325.594462\n", + " 48.886365\n", + " 0.500000\n", + " 6\n", + " \n", + " \n", + " 8946\n", + " 19.183215\n", + " 1.000000\n", + " 300.00\n", + " 0.00\n", + " 300.00\n", + " 0.000000\n", + " 1.000000\n", + " 0.000000\n", + " 0.833333\n", + " 0.000000\n", + " 0\n", + " 6\n", + " 1000.0\n", + " 275.861322\n", + " NaN\n", + " 0.000000\n", + " 6\n", + " \n", + " \n", + " 8947\n", + " 23.398673\n", + " 0.833333\n", + " 144.40\n", + " 0.00\n", + " 144.40\n", + " 0.000000\n", + " 0.833333\n", + " 0.000000\n", + " 0.666667\n", + " 0.000000\n", + " 0\n", + " 5\n", + " 1000.0\n", + " 81.270775\n", + " 82.418369\n", + " 0.250000\n", + " 6\n", + " \n", + " \n", + " 8948\n", + " 13.457564\n", + " 0.833333\n", + " 0.00\n", + " 0.00\n", + " 0.00\n", + " 36.558778\n", + " 0.000000\n", + " 0.000000\n", + " 0.000000\n", + " 0.166667\n", + " 2\n", + " 0\n", + " 500.0\n", + " 52.549959\n", + " 55.755628\n", + " 0.250000\n", + " 6\n", + " \n", + " \n", + " 8949\n", + " 372.708075\n", + " 0.666667\n", + " 1093.25\n", + " 1093.25\n", + " 0.00\n", + " 127.040008\n", + " 0.666667\n", + " 0.666667\n", + " 0.000000\n", + " 0.333333\n", + " 2\n", + " 23\n", + " 1200.0\n", + " 63.165404\n", + " 88.288956\n", + " 0.000000\n", + " 6\n", + " \n", " \n", "\n", + "

8950 rows × 17 columns

\n", "" ], "text/plain": [ - " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n", - "0 40.900749 0.818182 95.40 0.00 \n", - "1 3202.467416 0.909091 0.00 0.00 \n", - "2 2495.148862 1.000000 773.17 773.17 \n", - "3 1666.670542 0.636364 1499.00 1499.00 \n", - "4 817.714335 1.000000 16.00 16.00 \n", + " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n", + "0 40.900749 0.818182 95.40 0.00 \n", + "1 3202.467416 0.909091 0.00 0.00 \n", + "2 2495.148862 1.000000 773.17 773.17 \n", + "3 1666.670542 0.636364 1499.00 1499.00 \n", + "4 817.714335 1.000000 16.00 16.00 \n", + "... ... ... ... ... \n", + "8945 28.493517 1.000000 291.12 0.00 \n", + "8946 19.183215 1.000000 300.00 0.00 \n", + "8947 23.398673 0.833333 144.40 0.00 \n", + "8948 13.457564 0.833333 0.00 0.00 \n", + "8949 372.708075 0.666667 1093.25 1093.25 \n", "\n", - " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n", - "0 95.4 0.000000 0.166667 \n", - "1 0.0 6442.945483 0.000000 \n", - "2 0.0 0.000000 1.000000 \n", - "3 0.0 205.788017 0.083333 \n", - "4 0.0 0.000000 0.083333 \n", + " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n", + "0 95.40 0.000000 0.166667 \n", + "1 0.00 6442.945483 0.000000 \n", + "2 0.00 0.000000 1.000000 \n", + "3 0.00 205.788017 0.083333 \n", + "4 0.00 0.000000 0.083333 \n", + "... ... ... ... \n", + "8945 291.12 0.000000 1.000000 \n", + "8946 300.00 0.000000 1.000000 \n", + "8947 144.40 0.000000 0.833333 \n", + "8948 0.00 36.558778 0.000000 \n", + "8949 0.00 127.040008 0.666667 \n", "\n", - " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n", - "0 0.000000 0.083333 \n", - "1 0.000000 0.000000 \n", - "2 1.000000 0.000000 \n", - "3 0.083333 0.000000 \n", - "4 0.083333 0.000000 \n", + " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n", + "0 0.000000 0.083333 \n", + "1 0.000000 0.000000 \n", + "2 1.000000 0.000000 \n", + "3 0.083333 0.000000 \n", + "4 0.083333 0.000000 \n", + "... ... ... \n", + "8945 0.000000 0.833333 \n", + "8946 0.000000 0.833333 \n", + "8947 0.000000 0.666667 \n", + "8948 0.000000 0.000000 \n", + "8949 0.666667 0.000000 \n", "\n", - " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n", - "0 0.000000 0 2 1000.0 \n", - "1 0.250000 4 0 7000.0 \n", - "2 0.000000 0 12 7500.0 \n", - "3 0.083333 1 1 7500.0 \n", - "4 0.000000 0 1 1200.0 \n", + " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n", + "0 0.000000 0 2 1000.0 \n", + "1 0.250000 4 0 7000.0 \n", + "2 0.000000 0 12 7500.0 \n", + "3 0.083333 1 1 7500.0 \n", + "4 0.000000 0 1 1200.0 \n", + "... ... ... ... ... \n", + "8945 0.000000 0 6 1000.0 \n", + "8946 0.000000 0 6 1000.0 \n", + "8947 0.000000 0 5 1000.0 \n", + "8948 0.166667 2 0 500.0 \n", + "8949 0.333333 2 23 1200.0 \n", "\n", - " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n", - "0 201.802084 139.509787 0.000000 12 \n", - "1 4103.032597 1072.340217 0.222222 12 \n", - "2 622.066742 627.284787 0.000000 12 \n", - "3 0.000000 NaN 0.000000 12 \n", - "4 678.334763 244.791237 0.000000 12 " + " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n", + "0 201.802084 139.509787 0.000000 12 \n", + "1 4103.032597 1072.340217 0.222222 12 \n", + "2 622.066742 627.284787 0.000000 12 \n", + "3 0.000000 NaN 0.000000 12 \n", + "4 678.334763 244.791237 0.000000 12 \n", + "... ... ... ... ... \n", + "8945 325.594462 48.886365 0.500000 6 \n", + "8946 275.861322 NaN 0.000000 6 \n", + "8947 81.270775 82.418369 0.250000 6 \n", + "8948 52.549959 55.755628 0.250000 6 \n", + "8949 63.165404 88.288956 0.000000 6 \n", + "\n", + "[8950 rows x 17 columns]" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "df.head()" + "df" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, + "id": "cf2163af", + "metadata": {}, + "outputs": [], + "source": [ + "#we see our dataset contains so garbage values(null or duplicate entries) in some columns like in 'MINIMUM_PAYMENTS' and 'CREDIT_LIMIT' column\n", + "#Since this can reduce the accuracy of the algorithms ahead, we replace the null values by the median of the respective column." + ] + }, + { + "cell_type": "code", + "execution_count": 11, "id": "9cec5cbe", "metadata": {}, "outputs": [], "source": [ - "x = df[\"MINIMUM_PAYMENTS\"].mean()\n", + "x = df[\"MINIMUM_PAYMENTS\"].median()\n", "\n", "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 12, "id": "7223bbc4", "metadata": {}, "outputs": [], "source": [ - "x = df[\"CREDIT_LIMIT\"].mean()\n", + "x = df[\"CREDIT_LIMIT\"].median()\n", "\n", "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "id": "2b6f7463", "metadata": {}, "outputs": [ @@ -678,7 +897,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -716,12 +935,14 @@ "source": [ "for col in df:\n", " plt.figure()\n", - " sns.histplot(df[col])" + " sns.histplot(df[col])\n", + " \n", + "#We can see the data has a considerabe skewness which has to be reduced. " ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "id": "7ad00a01", "metadata": {}, "outputs": [ @@ -740,15 +961,15 @@ "CASH_ADVANCE_FREQUENCY 1.828686\n", "CASH_ADVANCE_TRX 5.721298\n", "PURCHASES_TRX 4.630655\n", - "CREDIT_LIMIT 1.522549\n", + "CREDIT_LIMIT 1.522636\n", "PAYMENTS 5.907620\n", - "MINIMUM_PAYMENTS 13.867357\n", + "MINIMUM_PAYMENTS 13.852446\n", "PRC_FULL_PAYMENT 1.942820\n", "TENURE -2.943017\n", "dtype: float64" ] }, - "execution_count": 11, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -759,24 +980,27 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, "id": "1c2824cc", "metadata": {}, "outputs": [], "source": [ "for col in df:\n", - " df[col]=np.sqrt(df[col])" + " df[col]=np.cbrt(df[col])\n", + " \n", + "#log transformation, square root transformation and cube root transformation are some of the popular methods for \n", + "#reducing skewness. Here I have used the cube root transformation. " ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 16, "id": "73b0e379", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -824,7 +1048,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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fmF8l3smrd+kzM7NB4F9wm5lZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMrVFqykHS3pD2SNuZiJ0paKen59Dw6t+5GSV2StkqalotPlrQhrbtDkspqs5mZVVfmkcUiYHpF7AZgVURMAFal10iaCMwCTk917pI0ItVZAMwDJqRH5TbNzKxkpSWLiHgc+ElFeAawOC0vBmbm4ksjYl9EbAO6gCmSxgDHR8TqiAhgSa6OmZk1SKOvWZwSEbsA0vPJKd4K7MiV606x1rRcGa9K0jxJnZI6e3p66tpwM7NmNlQucFe7DhH9xKuKiIUR0RERHS0tLXVrnJlZs2t0stidTi2RnvekeDfQnivXBuxM8bYqcTMza6BGJ4sVwNy0PBdYnovPkjRS0niyC9lr0qmqvZKmplFQc3J1zMysQY4ua8OSvgKcD5wkqRv4FHALsEzSVcB24HKAiNgkaRmwGdgPXBsRB9KmriEbWTUKeDg9zMysgUpLFhExu49VF/VRfj4wv0q8Ezijjk0zM7MBGioXuM3MbAhzsjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZkes1vaxSKrro7V97GB3a1CUdj8LM7PBtrN7B1d87vt13ea9V59T1+0NFz6yMDOzQoOSLCS9IGmDpHWSOlPsREkrJT2fnkfnyt8oqUvSVknTBqPNZmbNbDCPLC6IiEkR0ZFe3wCsiogJwKr0GkkTgVnA6cB04C5JIwajwWZmzWoonYaaASxOy4uBmbn40ojYFxHbgC5gSuObZ2bWvAYrWQTwL5LWSpqXYqdExC6A9HxyircCO3J1u1PsEJLmSeqU1NnT01NS083Mms9gjYY6NyJ2SjoZWCnpuX7KqkosqhWMiIXAQoCOjo6qZczMbOAG5cgiInam5z3A18lOK+2WNAYgPe9JxbuB9lz1NmBn41prZmYNTxaS/oOk43qXgXcDG4EVwNxUbC6wPC2vAGZJGilpPDABWNPYVpuZNbfBOA11CvB1Sb37/3JEfEvS08AySVcB24HLASJik6RlwGZgP3BtRBwYhHabDXut7WPZ2b2juGCNTm1r58Ud2+u2PRu6Gp4sIuKHwJlV4i8BF/VRZz4wv+SmmR3x6v2L5mb9NXMz8nQfZmYDcdTRpDMjTcXJwsxsIA7ub8qjs6H0ozwzMxuinCzM7PVLp2Q8/feRz6ehrGl5ZFAdNOkpmWbkZGGlGA5fxB4ZNAQ16cXj4cDJwkrRlF/Edf6iG3HMSA782766bW9Y8JHKkOVkYVYvJXzR+S5vNlT4AreZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0LDJllImi5pq6QuSTcMdnvMzJrJsEgWkkYA/wRcDEwEZkuaOLitMjNrHsNlIsEpQFdE/BBA0lJgBrB5UFtljeOpq80GlSJisNtQSNJlwPSI+C/p9ZXAOyPiuopy84B56eXbgK2vc5cnAT9+nXWHK/e5OTRbn5utv3D4ff6NiGipDA6XI4tqf1IekuUiYiGw8LB3JnVGRMfhbmc4cZ+bQ7P1udn6C+X1eVhcswC6gfbc6zZg5yC1xcys6QyXZPE0MEHSeElvAGYBKwa5TWZmTWNYnIaKiP2SrgO+DYwA7o6ITSXu8rBPZQ1D7nNzaLY+N1t/oaQ+D4sL3GZmNriGy2koMzMbRE4WZmZWqKmTRdEUIsrckdavl3T2YLSzXmro7wdSP9dL+r6kMwejnfVU6zQxkt4h6UD6Tc+wVkufJZ0vaZ2kTZK+2+g21lsNn+1fk/SApGdTn/94MNpZL5LulrRH0sY+1tf/uysimvJBdqH8B8CbgTcAzwITK8pcAjxM9juPqcBTg93ukvt7DjA6LV88nPtba59z5b4DPARcNtjtbsC/8wlksx+MTa9PHux2N6DPnwD+Ni23AD8B3jDYbT+MPv9n4GxgYx/r6/7d1cxHFv8+hUhE/AronUIkbwawJDJPAidIGtPohtZJYX8j4vsR8X/TyyfJfs8ynNXybwzwIeBrwJ5GNq4ktfT5D4H7I2I7QEQM937X0ucAjlM2Z8yxZMlif2ObWT8R8ThZH/pS9++uZk4WrcCO3OvuFBtomeFioH25iuwvk+GssM+SWoFLgc82sF1lquXf+a3AaEmPSVoraU7DWleOWvp8J/CbZD/m3QB8OCIONqZ5g6Lu313D4ncWJallCpGaphkZJmrui6QLyJLF75TaovLV0ufbgY9HxIEjZKLCWvp8NDAZuAgYBayW9GRE/GvZjStJLX2eBqwDLgROA1ZK+l5EvFxy2wZL3b+7mjlZ1DKFyJE0zUhNfZH0duALwMUR8VKD2laWWvrcASxNieIk4BJJ+yPiGw1pYf3V+rn+cUT8HPi5pMeBM4Hhmixq6fMfA7dEdkK/S9I24D8BaxrTxIar+3dXM5+GqmUKkRXAnDSyYCrws4jY1eiG1klhfyWNBe4HrhzGf2XmFfY5IsZHxLiIGAfcB/zZME4UUNvnejlwnqSjJb0JeCewpcHtrKda+ryd7EgKSaeQzUr9w4a2srHq/t3VtEcW0ccUIpL+NK3/LNnomEuALuAXZH+dDEs19vevgP8I3JX+0t4fw3jGzhr7fESppc8RsUXSt4D1wEHgCxFRdQjmcFDjv/N/AxZJ2kB2iubjETFspy6X9BXgfOAkSd3Ap4BjoLzvLk/3YWZmhZr5NJSZmdXIycLMzAo5WZiZWSEnCzMzK+RkYWZmhZwszMyskJPFES5Nu71O0kZJX5X0JknjKqc2lnSzpL9Iy4skbUv1npV0Ua7cFEmPp+mgn5P0hbTND0q6s2Kbj0nqyL0+S1JImlZR7qY0bfT6tM935upvTbF1ku5L8beldeskbZHU520klU3F/WBa/qCkg+lX6r3rN0oal5b/RNKG1I6NkmZI+qe0n82Sfplry2WpznJJq/t6Lyvir1SJ3Zzek7fkYh9NsY70+oXUrt5935H7d3pR0sj0+qRU9rdyZX+S+7d8RNJRyqau3pi2+bSk8f28f5X7Pid9fnrfi82Slkg6Jvd+/yxXfp2kd6V1ben9el7SDyXdmWt7v5+fgb4HuW28VdJDyqbq3iJpmaTflfSvkkblyn1T0qy+3gdr4h/lNZFfRsQkAEn3AH9K9ivtItdHxH3K5olaSPYL2VOArwKzImK1JAHvA46rsS2zgSfS87dTm34beA9wdkTsk3QS2TTTvT4QEZ0V27kDuC0ilqdt/FaN+4dsGoSbgCvyQUltKX52RPxM0rFAS24f44AHe9/LFDuBbJroVySNj4htA2hH3gayXx3/TXp9GdkU4nkX9PEjsgPAnwALegMRsQGYlNq4KLW7N9HOBk4F3h4RB1O/f17QvtfsO70XP4iISZJGACuB9wP3pCLfi4j35DeQPiv3AwsiYkaqtxD4O+DDBfuv2o6cQ96DtM83At8EPhYRD6TYBcBLqS03AZ+UNBM4JiKW1tiOpuQji+byPeAthaVeazWvzlZ5LbA4IlYDpOmP74uI3UUbSV8WlwEfBN6d/iMDjCGbp2hf2uaPI6JoDpsxZF/6pDobBtCfB4HTJb2tIn4ysBd4JW3zlRq+/N8HPEA2Jfbh/FX6DdKU2pLeDPwM6Kmx7u3ARyXV+offGGBX74yrEdGdm5Z+wCLiANn8SkUzml4I/L+I+FKu3kfJpqQ49vXuP7md6u/BHwKrexNF2u+j6dfqfw1cLmkScAvZZ9v64WTRJNJ/pIvJ/oodiOlkX2YAZwBr+yl7Rf70A9kkfb3OBbZFxA+Ax8imIgD4F6A9nRa4S9LvVmzzntw2/z7FbgO+I+nhdMrmhAH05yDZX7OfqIg/C+wGtkn6kqTfr2Fbs4GvpMfsAbSh0svADklnpO3cW6XMo7n34aO5+Hayo7Ura9zXMuD303ZulXRWDXV69/1U5YqU9N8JfCsXPq/iNNRpwOlUfHbSjK8vUPsfMAN9D/r8vEbEL4C/AB4HlkbE8zW2oWn5NNSRb1T64obsyOKLZH9dVpOf++XvJf0d2V/cU2vc170RcV3vC0mP5dbNJvsLnPR8JdkNeF6RNBk4D7gAuFfSDRGxKJU95DRURHxJ0rfJEtkM4GpJZ/YendTgy8BN+XP1aYry6cA7yCacu03S5Ii4udoG0im5twBPRERI2i/pjMOYY6n36GRa2n/lXD59nYIB+O9kE8d9s2gnEdGdjqouTI9Vki6PiFX9VKu279PS52oCcF9ErM+t6+s0VLW5hXqn0u5r3qF8vC7vwb9vOOIBST8F7qq1TjPzkcWR75cRMSk9PpTuJPYSMLqi3IlA/j/i9WRfhp8EFqfYJrL7IAxIOj/9PuCv0sXHfwQulnQcZF/UEfFYRHwKuC6V7VdE7IyIuyNiBtkdz86otT0RsR+4Ffh4RTwiYk1E/A+yL+7+2nEF2Xu4LfVpHId3KuoBsgS6faD3WIiILrJ7Nby/xvL7IuLhiLie7Et25sCaCqRrFmSfkamS3ltQfhOvPdJE0vHAKcBWavtM9qmP96CWz+vB9LACThZNKCJeAXYpjXKSdCLZX+lPVJQ7CPxP4ChlI5juBOYqjVZKdf9I0q8X7PJdwLMR0Z6mA/8NstuYzlQ2smlCruwk4Ef9bUzSdL06+ubXyWbKfbGo3xUWpXa1pO2cqtfe1L6oHbOB6bnpzSdzGMkiIn5Jlrzmv85NzCc7rdIvSWdLOjUtHwW8nYL3uz9p2usbgBsLiq4C3qR0V770B8StwJ2p708D5/Z+lpSNghrJa+/2VqTyPfgycI6k3+sNpM/OQAZEWOJk0bzmkI0EWQd8B/h0up7wGpFNS/w3wF+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\n", 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\n", 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\n", 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OFNtd0t2Snknvu+W2v1DScklPSTqxipzNzEayKp/g/mhEvJT7fAFwb0R8Q9IF6fNXJR0EzAAOBvYF7pF0gKdWhU0b/0RXV9dWcY8XZWaDrZWG+5gOHJuWrwXuA76a4jdExAZghaTlwFRgcQU5tpTXX1zJ3BXr2ef5UW/HPF6UmZWhqmIRwF2SAviHiJgH7B0RqwEiYrWkvdK2Y4EHc/t2p9hWJM0GZgNMmDChrNxbyi5j9vNYUWZWuqqKxVERsSoVhLslPdnHtqoTi3obpqIzD6C9vb3uNmZm1n+VdHBHxKr0vha4haxZaY2kMQDpfW3avBsYn9t9HLCqedmamVnTi4Wkd0napWcZ+HPgMWARMCttNgu4LS0vAmZI2lHSJGAysOUMQGZmVqoqmqH2Bm6R1PP9P4mIf5L0G2ChpDOB3wGfAoiIZZIWAo8DG4FzfCeUmVlzNb1YRMRzwKF14i8Dx/WyzxxgTsmpmZlZL1rp1llrIj+jYWb94WIxQvkZDTPrDxeLEczPaJhZozyQoJmZFXKxMDOzQm6GKpE7kc1suHCxKJE7kc1suHCxKJk7kc1sOHCfhZmZFXKxMDOzQi4WZmZWyMXCzMwKuYO7yXw7rZkNRS4WTebbac1sKHKxqIBvpzWzocbFogW4acrMWl3Ti4Wk8cACYB/gLWBeRHxP0iXA54B1adOLIuL2tM+FwJnAJuALEXFns/MuUys3Ta1fv56Oji1nsXURMxt5qriy2Aj8TUQ8kubifljS3Wnd5RFxaX5jSQcBM4CDgX2BeyQdMNymVq1tmqp3tdHV1UVEc29g6+jo4Lwrb2X0uP2B+kWsXkEBFxWz4aSKaVVXA6vT8uuSngDG9rHLdOCGiNgArJC0HJgKLC492QrVu9rofuTX7HbAh5qey+hx+/fZx1JbUKB1rozMbHBU2mchaSJwGPAQcBRwrqTTgU6yq49/ISskD+Z266bv4jJs1F5tvNr9TIXZZHq74nnP2Pe5095sGKusWEh6N3ATcF5EvCZpLvDfgUjvlwGfBVRn9+jlmLOB2QATJkwoI+0Rr5WueMyseSopFpK2JysU10XEzQARsSa3/ofAz9PHbmB8bvdxwKp6x42IecA8gPb29roFxQauFa94zKxcVdwNJeBq4ImI+E4uPib1ZwCcAjyWlhcBP5H0HbIO7snA1r2pBgysY7xVOtXNrPVUcWVxFPAZYKmkJSl2ETBT0hSyJqaVwOcBImKZpIXA42R3Up0z3O6EGkwDaSZyE5OZ9aaKu6EeoH4/xO197DMHmFNaUsPMQJqJ3MRkZvX4CW4rhZ9KNxteXCysFK38VLqZ9Z+LhZWmkQET/fS32dDgYmGV8tPfZkODi4VVrmg4ETOrnouFNY2f4zAbulwsrGn8HIfZ0OViYU3l5zjMhiYXC2t5vmPKrHouFtZyavs2urq6mP/Ac+w2fvLbsVeef5Izj+ni0EMPfTu2YcMGJLHDDjtscTwXFbOBc7GwllPbt9HTr1HbfDX3nsdr+j/uY7td9mCfyR/IbefbcM0Gg4uFtaR830Zv/Rr1+j+2H71v4fS04KsNs/5ysbBhzcOOmA0OFwsb9hoZdqSWO9XNtuRiYSNOvaap2s7xep3qviKxkczFwkac+g8Hbtk5Xq9TvR5fgdhI4WJhI1JR53i9TvXehivZ1tt668VcZKxVDZliIWka8D1gFPCjiPhGxSnZCNPXcCXbcltvbWwgRcbPmFjZhkSxkDQK+HvgBKAb+I2kRRHxeLWZ2UjT6HAljdzWW+9qZluKTG+xRopPqxSjgTTn1dvXRXLwDYliAUwFlkfEcwCSbgCmA6UUi1e7l2/1uatrU5/7dHV18Wr3ii1if1z7Atu9uZ61T7+rlFjZx/d3VvCdu+zBYHnj5Rf51o+fZvQ9S9+OvfTcMrbbeRdGj5lQ93N/Yv/v5Rf50qdP2KIYbauuri4uv/Fu3rXHPv0+fu2+g5nXUFTWDRiKiFIOPJgkfRKYFhH/OX3+DPBnEXFuzXazgdnp44HAU9v4lXsCL23jvs3g/Aau1XN0fgPj/LbdeyOirTY4VK4sVCe2VZWLiHnAvAF/mdQZEe0DPU5ZnN/AtXqOzm9gnN/gGyqzznQD43OfxwGrKsrFzGzEGSrF4jfAZEmTJO0AzAAWVZyTmdmIMSSaoSJio6RzgTvJbp2dHxHLSvzKATdllcz5DVyr5+j8Bsb5DbIh0cFtZmbVGirNUGZmViEXCzMzKzSii4WkaZKekrRc0gV11kvSFWn9o5IOb2Ju4yX9UtITkpZJ+mKdbY6V9AdJS9Lra83KL33/SklL03d31llf5fk7MHdelkh6TdJ5Nds0/fxJmi9praTHcrHdJd0t6Zn0vlsv+/b5ey0xv29LejL9N7xF0uhe9u3z91BifpdIeiH33/Fjvexb1fm7MZfbSklLetm39PM3IBExIl9kHeXPAvsBOwBdwEE123wMuIPsOY8jgYeamN8Y4PC0vAvwdJ38jgV+XuE5XAns2cf6ys5fnf/WL5I9bFTp+QOOAQ4HHsvFvgVckJYvAL7Zy5+hz99rifn9ObBdWv5mvfwa+T2UmN8lwFca+A1Ucv5q1l8GfK2q8zeQ10i+snh7CJGI+FegZwiRvOnAgsg8CIyWNKYZyUXE6oh4JC2/DjwBjG3Gdw+iys5fjeOAZyPi+Qq+ewsRcT/wSk14OnBtWr4WOLnOro38XkvJLyLuioiN6eODZM85VaKX89eIys5fD0kCTgWuH+zvbYaRXCzGAr/Pfe5m67+MG9mmdJImAocBD9VZ/WFJXZLukHRwczMjgLskPZyGWqnVEueP7Lmc3v4HrfL89dg7IlZD9o8EYK8627TKufws2dViPUW/hzKdm5rJ5vfSjNcK5+9oYE1E1B99strzV2gkF4tGhhBpaJiRMkl6N3ATcF5EvFaz+hGyppVDge8DtzYzN+CoiDgcOAk4R1LtCGatcP52AD4B/LTO6qrPX3+0wrm8GNgIXNfLJkW/h7LMBd4HTAFWkzX11Kr8/AEz6fuqoqrz15CRXCwaGUKk0mFGJG1PViiui4iba9dHxGsR8ce0fDuwvaQ9m5VfRKxK72uBW8gu9fNaYZiWk4BHImJN7Yqqz1/Omp7mufS+ts42Vf8WZwEfB06L1MBeq4HfQykiYk1EbIqIt4Af9vK9VZ+/7YC/AG7sbZuqzl+jRnKxaGQIkUXA6emuniOBP/Q0F5QttW9eDTwREd/pZZt90nZImkr23/PlJuX3Lkm79CyTdYI+VrNZZecvp9d/zVV5/mosAmal5VnAbXW2qWzIG2UTj30V+EREvNHLNo38HsrKL98Pdkov31v1kEHHA09GRHe9lVWev4ZV3cNe5Yvsbp2nye6SuDjFzgLOSssim3TpWWAp0N7E3P4N2WXyo8CS9PpYTX7nAsvI7ux4EPhIE/PbL31vV8qhpc5f+v53kv3l/55crNLzR1a4VgN/IvvX7pnAHsC9wDPpffe07b7A7X39XpuU33Ky9v6e3+FVtfn19ntoUn4/Tr+vR8kKwJhWOn8pfk3P7y63bdPP30BeHu7DzMwKjeRmKDMza5CLhZmZFXKxMDOzQi4WZmZWyMXCzMwKuViYmVkhFwsbViRtSkM8Pybpp5LeKWlifsjotN0lkr6Slq+RtCLt1yXpuNx2UyXdn4a2flLSj9Ixz5D0g5pj3iepPff5MEkh6cSa7S5WNuz8o+k7/yy3/1O54ax/luIHpnVLlA1ZX3dKTkkn5vb9Y+5YC7R5OPbfpj/Hpbn9vizp6tzn0yT9YlvOvw1fQ2IObrN+eDMipgBIuo7sIbythkqp4/yI+Jmkj5LNjzxZ0t5kY0rNiIjF6WnvvyQbMr4RM4EH0vudKacPkw2bcXhEbEjDi+yQ2+e0iKidy+AK4PKIuC0d4wP1viwi7sx9z31kw3Z3ps/HAr+OiI9L2hn4raRbIuL/pON3SjqK7IGwvyMbqdfsbS4WNpz9GvhgP/dZzObRSM8Bro2IxQCRPcHa86/9Pg+SCssngROAX0vaKSLWk81T8lJEbEjHfKmBnMaQPQ1M2mdpf/5AtSLiTWUT8IxNnzdK+ivgSqADmB8Rzw3kO2z4cTOUDUtp4LaTyIaB6I9pbB599hDg4T62/XSu2WcJ0J5bdxSwIiKeBe4jG2oC4C5gvKSnJV0p6d/WHPO63DG/nWKXA/+sbBj1L6mXmeoapWwI78nA/T2xiPi/ZHOmHE82GZPZFlwsbLjZOf3F3Qn8jmwwxt7GtMnHvy3pOeB/A/+jwe+6MSKm9LzSd/aYSTbBDul9JkBko9weAcwG1gE3Sjojt99puWOen/b5X8D7yZrEjgUelLRjgznmHS3pUbJZA38eES/2rFA2FH47sD3Qtg3HtmHOxcKGmzdzf9n+dWSzor0M1E6IszuQbwI6H9gf+K9snrVuGdlf7P0iaRRZ38bXJK0kmyvjpJ5RRSMbTvu+iPg62WCGf1l0zIhYFRHzI2I62ZwSh/Q3L7I+iw8CHwDOljQlt+5vyQrlHLIrGbMtuFjYsJf+Nb+65y4nSbuTNTc9ULPdW8D3gHekO5h+AMzquVsp7fsfJe1T8JXHA10RMT4iJkbEe8nmJTk53dk0ObftFKDP6V4lTVM2twnpu/cAXij6c/cmIp4G/ifZsOM9Heb/nmx+7XnAeyWdsK3Ht+HJHdw2UpwO/L2knlnU/jb1J2whIkLS3wH/JSKOkzQDuFTSXsBbZO38RXdXzSSbvCbvJuBs4HHg+6nfYSPZ8N/5KTSvk/RmWn4pIo4nm9vge5LWp/j5+SakbXQV8BVJk8hmmvtS6oAndXYvkDQlXZmZeYhyMzMr5mYoMzMr5GYosyEo9al8sya8IiJOqSIfG/7cDGVmZoXcDGVmZoVcLMzMrJCLhZmZFXKxMDOzQv8f5pVwdZGnxvkAAAAASUVORK5CYII=\n", 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2f/n+buBG2wuBG8t3JB0MLAUOAZYA50ma0Y2EIyJ61WSa7uNY4KiyfTHwTeDsEr/M9jbgAUkbgCOAtV3IMXbDD++9m/+45LiW+zJvVMTU0K1iYeCrkgz8o+1VwIG2NwLY3ijpGeXY2cDNtbaDJbYTScuB5QDz5s1rV+6xi/7dT2g5ZxRk3qiIqaJbxWKx7aFSEG6QdM8Yx6pFzK0OLEVnFUB/f3/LYyIiYtd1ZczC9lD5uQm4mqpb6SFJswDKz03l8EFgbq35HGCoc9lGRETHi4Wkp0h62vA28CfAncC1wEnlsJOAa8r2tcBSSftIWgAsBG7pbNYREb2tG91QBwJXSxq+/udtf0XS94A1kk4FfgK8HsD2eklrgLuA7cDpth/rQt4RET2r48XC9v3A77WI/xw4epQ2K4AVbU4tIiJGkTe4IyKi0WR6zyJ60GjvYPxow33M6Xw6ETGKFIvoqtHewVj/N2/qQjYRMZp0Q0VERKMUi4iIaJRiERERjTJm0QOOP+EUhrZs3Sk+3Sbx65U/Z0Q3pFj0gKEtW1sOIk+3Sfx65c8Z0Q3phoqIiEYpFhER0SjFIiIiGmXMInpaBsUjxifFInpaBsUjxifFoodlbeyIGK8Uix6WtbEjYrwywB0REY06fmchaS6wGngm8DiwyvbHJb0f+HNgczn0PbavK23OAU4FHgPeZvv6Tufda0brokr3VERv6kY31Hbgr2zfVtbivlXSDWXfubY/Uj9Y0sHAUuAQ4FnA1yQ9L0urttdoXVTpnoroTd1YVnUjsLFsPyLpbmD2GE2OBS6zvQ14QNIG4AhgbduTjZ2MNSieBYsipq+uDnBLmg8cBnwXWAycIelEYIDq7mMrVSG5udZskLGLS7TRWIPiWbAoYvrqWrGQ9FTgSuBM2w9LWgn8T8Dl50eBNwFq0dyjnHM5sBxg3rx57Ug7pqDcDUXsua4UC0lPpCoUl9i+CsD2Q7X9nwG+WL4OAnNrzecAQ63Oa3sVsAqgv7+/ZUGJ3pO7oYg91/FHZyUJuAC42/bHavFZtcNeA9xZtq8FlkraR9ICYCFwS6fyjYiI7txZLAbeCNwhaV2JvQdYJmkRVRfTg8CbAWyvl7QGuIvqSarT8yRUbxutW6lTXUqZTyp6UTeehvoOrcchrhujzQpgRduSiilltG6liexSahrneOm7Vu0Uz2PFMZ1luo+IFjLOEfHbMt1HREQ0SrGIiIhGKRYREdEoYxYREyTrg8R0lmIRMUGyPkhMZykWER0w2l3HTx64j3kLntuyTe5GYjJJsYjogLHeDcndSEwFGeCOiIhGKRYREdEoxSIiIhplzCJikso66DGZpFhETFKjDYp//W9Pzvsc0XEpFhFTzFjvc4xWSFJEYk+lWERMI7kbiXZJsYjoAbkbiT2VYhHR40YrJHkpMOqmTLGQtAT4ODADON/2B7ucUsS0NtbEiKNNU5LpS6avKVEsJM0A/gF4OTAIfE/Stbbv6m5mEdNX02qBuzp9Sbq7prYpUSyAI4ANtu8HkHQZcCyQYhExRezO4Pvu3MHsapvdOVcvFjjZ7nYOjSS9Dlhi+7+W728E/sD2GSOOWw4sL18PAu7dzUvOBLbsZttOS67tMVVynSp5QnJtl4nO9dm2+0YGp8qdhVrEdqpytlcBq/b4YtKA7f49PU8nJNf2mCq5TpU8Ibm2S6dynSpzQw0Cc2vf5wBDXcolIqLnTJVi8T1goaQFkvYGlgLXdjmniIieMSW6oWxvl3QGcD3Vo7MX2l7fxkvucVdWByXX9pgquU6VPCG5tktHcp0SA9wREdFdU6UbKiIiuijFIiIiGqVY1EhaIuleSRskvbvb+YxF0oWSNkm6s9u5jEXSXEnfkHS3pPWS3t7tnEYj6UmSbpH0g5LrB7qdUxNJMyR9X9IXu53LWCQ9KOkOSeskDXQ7n7FIerqkKyTdU/7d/mG3c2pF0kHl73P487CkM9t2vYxZVMqUIj+kNqUIsGyyTiki6SXAL4HVtg/tdj6jkTQLmGX7NklPA24FjpuMf6+SBDzF9i8lPRH4DvB22zd3ObVRSXoH0A/sZ/tV3c5nNJIeBPptT/oX3SRdDHzb9vnl6csn2/6/XU5rTOX318+oXlb+cTuukTuLHX4zpYjtXwPDU4pMSrZvAn7R7Tya2N5o+7ay/QhwNzC7u1m15sovy9cnls+k/d+UpDnAfwbO73Yu04Wk/YCXABcA2P71ZC8UxdHAfe0qFJBiUTcb+Gnt+yCT9JfaVCVpPnAY8N0upzKq0q2zDtgE3GB70uYK/D3wLuDxLucxHga+KunWMi3PZPUcYDPw2dK9d76kp3Q7qXFYClzazgukWOwwrilFYvdIeipwJXCm7Ye7nc9obD9mexHVLAFHSJqUXXySXgVssn1rt3MZp8W2XwS8Aji9dKNORnsBLwJW2j4M+H/AZB+/3Bt4NfCFdl4nxWKHTCnSJqX//0rgEttXdTuf8ShdD98ElnQ3k1EtBl5dxgIuA/5Y0ue6m9LobA+Vn5uAq6m6fSejQWCwdkd5BVXxmMxeAdxm+6F2XiTFYodMKdIGZdD4AuBu2x/rdj5jkdQn6elle1/gZcA9XU1qFLbPsT3H9nyqf6tft31Cl9NqSdJTysMNlC6dPwEm5VN8tv8F+Kmkg0roaCb/UgjLaHMXFEyR6T46oQtTiuwRSZcCRwEzJQ0C77N9QXezamkx8EbgjjIWAPAe29d1L6VRzQIuLk+WPAFYY3tSP5I6RRwIXF39v4G9gM/b/kp3UxrTW4FLyn8a7wdO6XI+o5L0ZKonON/c9mvl0dmIiGiSbqiIiGiUYhEREY1SLCIiolGKRURENEqxiIiIRikWERHRKMUiphVJj5Xpmu+U9AVJT5Y0f+RU7pLeL+mdZfsiSQ+Udj+QdHTtuCMk3VSmrr+nzBX0ZEknS/rUiHN+U1J/7fthkizpmBHHvbdMgX57ueYf1NrfW5ty+ooSP6jsW1emzG65jKakY2ptf1k712pJR0n61zLf0T2SPlJr9w5JF9S+v0HSl3bn7z+mr7yUF9PNo2VuJyRdArwFGM8UI2fZvkLSS6nWNF4o6UCq+XaW2l5b3kb/U+Bp48xlGdU058uoXvakrI3wKuBFtrdJmgnsXWvzBtsj13v4BHCu7WvKOV7Q6mK2r69d55vAO4fPJekoqmm3X1XeTv++pKtt/+9y/gFJi4H1wF9Tvbkc8RspFjGdfRt44S62WcuO2YZPBy62vRaqKcyp5gqivI08qlJYXkf1du23JT3J9r9RvSW+xfa2cs7xrO8wi2rOIkqbO3blDzSS7UfL2/Szy/ftkv4COA+4hWr2gvv35Box/aQbKqYlSXtRTbC2q79YlwD/VLYPpVqsaTR/Vuv2WUe1CNGwxcADtu+jmpDwlSX+VWCupB9KOk/Sfxpxzktq5/xwiZ0LfF3SlyX95fD8VbtL0v7AQuCm4Zjt/0O11sjLgL/bk/PH9JRiEdPNvuUX9wDwE6pJDEeb06Ye/7Ck+4HPAX8zzmtdbnvR8Kdcc9gyqtlgKT+XAZTFlQ4HllOtm3C5pJNr7d5QO+dZpc1ngedTdYkdBdwsaZ9x5lj3Ykm3A/8CfLFMmgf8Zgr5fqoFn/p249wxzaVYxHTzaO2X7VvLqoc/B/YfcdwBQL0L6Czgd4H/BlxcYuupfrHvkjIR4Z8C/71MIf5J4BXDM6+WNTO+aft9wBnl2DHZHrJ9oe1jge1Udz276tu2Xwi8ADhN0qLavg9QFcoVVHcyEb8lxSKmvfK/+Y3DTzlJOoCqu+k7I457HPg48ITyBNOngJOGn1YqbU+Q9MyGS74M+IHtubbn23421Xoex5UnmxbWjl0EjLkUpqQlqtYEoVz7d6jWW94ttn8I/C1wdjnnC6iWZ/0Q1eD+syW9fHfPH9NTBrijV5wI/IOkj5bvHyjjCb/FtiX9NfAu20dLWgp8RNIzqJYvvYnmp6uWUS3wU3clcBrV2gifLOMO24ENVF1Swy6R9GjZ3mL7ZVTrP3xc0r+V+Fn1LqTd9GngnZIWACuBvywD8JTB7tWSFpU7s4hMUR4REc3SDRUREY3SDRUxBZUxlQ+NCD9g+zXdyCemv3RDRUREo3RDRUREoxSLiIholGIRERGNUiwiIqLR/weyXaJi6lkU5QAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] @@ -987,45 +1211,46 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 17, "id": "06ca59aa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "BALANCE 0.829498\n", - "BALANCE_FREQUENCY -2.819495\n", - "PURCHASES 1.730752\n", - "ONEOFF_PURCHASES 2.129460\n", - "INSTALLMENTS_PURCHASES 1.546939\n", - "CASH_ADVANCE 1.486159\n", - "PURCHASES_FREQUENCY -0.421872\n", - "ONEOFF_PURCHASES_FREQUENCY 0.724607\n", - "PURCHASES_INSTALLMENTS_FREQUENCY 0.130409\n", - "CASH_ADVANCE_FREQUENCY 0.706976\n", - "CASH_ADVANCE_TRX 1.417779\n", - "PURCHASES_TRX 1.185757\n", - "CREDIT_LIMIT 0.680933\n", - "PAYMENTS 1.951535\n", - "MINIMUM_PAYMENTS 3.805340\n", - "PRC_FULL_PAYMENT 1.297280\n", - "TENURE -3.064332\n", + "BALANCE 0.295005\n", + "BALANCE_FREQUENCY -3.756455\n", + "PURCHASES 0.471128\n", + "ONEOFF_PURCHASES 0.961342\n", + "INSTALLMENTS_PURCHASES 0.609720\n", + "CASH_ADVANCE 0.825680\n", + "PURCHASES_FREQUENCY -0.718558\n", + "ONEOFF_PURCHASES_FREQUENCY 0.365089\n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.028855\n", + "CASH_ADVANCE_FREQUENCY 0.382068\n", + "CASH_ADVANCE_TRX 0.701759\n", + "PURCHASES_TRX 0.195528\n", + "CREDIT_LIMIT 0.426026\n", + "PAYMENTS 0.885136\n", + "MINIMUM_PAYMENTS 2.240518\n", + "PRC_FULL_PAYMENT 1.017735\n", + "TENURE -3.107796\n", "dtype: float64" ] }, - "execution_count": 14, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "df.skew()" + "df.skew()\n", + "#We can see the skewness indices have considerably reduced after applying the cube root transformation" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 18, "id": "6a0ef3ec", "metadata": {}, "outputs": [ @@ -1073,341 +1298,341 @@ " \n", " BALANCE\n", " 1.000000\n", - " 0.439550\n", - " 0.102217\n", - " 0.172933\n", - " 0.013676\n", - " 0.575879\n", - " -0.153306\n", - " 0.102318\n", - " -0.128057\n", - " 0.531558\n", - " 0.525505\n", - " 0.042819\n", - " 0.456740\n", - " 0.403422\n", - " 0.663993\n", - " -0.453893\n", - " 0.079000\n", + " 0.484742\n", + " 0.030942\n", + " 0.171176\n", + " -0.047593\n", + " 0.576224\n", + " -0.181722\n", + " 0.118327\n", + " -0.149990\n", + " 0.539809\n", + " 0.545541\n", + " -0.031477\n", + " 0.411791\n", + " 0.426075\n", + " 0.744121\n", + " -0.471822\n", + " 0.078934\n", " \n", " \n", " BALANCE_FREQUENCY\n", - " 0.439550\n", + " 0.484742\n", " 1.000000\n", - " 0.166903\n", - " 0.147846\n", - " 0.142073\n", - " 0.138545\n", - " 0.154265\n", - " 0.181196\n", - " 0.123737\n", - " 0.192852\n", - " 0.180504\n", - " 0.194752\n", - " 0.093166\n", - " 0.171135\n", - " 0.192395\n", - " -0.056715\n", - " 0.093694\n", + " 0.140029\n", + " 0.146121\n", + " 0.115348\n", + " 0.147315\n", + " 0.102016\n", + " 0.160904\n", + " 0.087914\n", + " 0.180032\n", + " 0.177047\n", + " 0.151059\n", + " 0.087216\n", + " 0.229388\n", + " 0.267524\n", + " -0.028250\n", + " 0.078095\n", " \n", " \n", " PURCHASES\n", - " 0.102217\n", - " 0.166903\n", + " 0.030942\n", + " 0.140029\n", " 1.000000\n", - " 0.852625\n", - " 0.728559\n", - " -0.236233\n", - " 0.687428\n", - " 0.672055\n", - " 0.527451\n", - " -0.300179\n", - " -0.254318\n", - " 0.843175\n", - " 0.341895\n", - " 0.496092\n", - " 0.079384\n", - " 0.245880\n", - " 0.116914\n", + " 0.794285\n", + " 0.719317\n", + " -0.353517\n", + " 0.811583\n", + " 0.688050\n", + " 0.599947\n", + " -0.400350\n", + " -0.369054\n", + " 0.897577\n", + " 0.294130\n", + " 0.401860\n", + " 0.042703\n", + " 0.253852\n", + " 0.117656\n", " \n", " \n", " ONEOFF_PURCHASES\n", - " 0.172933\n", - " 0.147846\n", - " 0.852625\n", + " 0.171176\n", + " 0.146121\n", + " 0.794285\n", " 1.000000\n", - " 0.306789\n", - " -0.123410\n", - " 0.422181\n", - " 0.824324\n", - " 0.154497\n", - " -0.156438\n", - " -0.129146\n", - " 0.637828\n", - " 0.352743\n", - " 0.471265\n", - " 0.051873\n", - " 0.113810\n", - " 0.090035\n", + " 0.250702\n", + " -0.161092\n", + " 0.471888\n", + " 0.908505\n", + " 0.142016\n", + " -0.179905\n", + " -0.162202\n", + " 0.628540\n", + " 0.335554\n", + " 0.406005\n", + " 0.055164\n", + " 0.082546\n", + " 0.093512\n", " \n", " \n", " INSTALLMENTS_PURCHASES\n", - " 0.013676\n", - " 0.142073\n", - " 0.728559\n", - " 0.306789\n", + " -0.047593\n", + " 0.115348\n", + " 0.719317\n", + " 0.250702\n", " 1.000000\n", - " -0.230397\n", - " 0.683154\n", - " 0.231340\n", - " 0.815592\n", - " -0.292878\n", - " -0.247026\n", - " 0.757427\n", - " 0.205210\n", - " 0.330005\n", - " 0.078573\n", - " 0.269962\n", - " 0.108182\n", + " -0.313546\n", + " 0.726431\n", + " 0.198574\n", + " 0.907243\n", + " -0.357387\n", + " -0.328186\n", + " 0.774562\n", + " 0.164430\n", + " 0.267006\n", + " 0.036630\n", + " 0.282240\n", + " 0.106190\n", " \n", " \n", " CASH_ADVANCE\n", - " 0.575879\n", - " 0.138545\n", - " -0.236233\n", - " -0.123410\n", - " -0.230397\n", + " 0.576224\n", + " 0.147315\n", + " -0.353517\n", + " -0.161092\n", + " -0.313546\n", " 1.000000\n", - " -0.392948\n", - " -0.152434\n", - " -0.309058\n", - " 0.834290\n", - " 0.848970\n", - " -0.273181\n", - " 0.261001\n", - " 0.368825\n", - " 0.325816\n", - " -0.233943\n", - " -0.096013\n", + " -0.471457\n", + " -0.175522\n", + " -0.361641\n", + " 0.906146\n", + " 0.915648\n", + " -0.387271\n", + " 0.209708\n", + " 0.307411\n", + " 0.379249\n", + " -0.255615\n", + " -0.100092\n", " \n", " \n", " PURCHASES_FREQUENCY\n", - " -0.153306\n", - " 0.154265\n", - " 0.687428\n", - " 0.422181\n", - " 0.683154\n", - " -0.392948\n", + " -0.181722\n", + " 0.102016\n", + " 0.811583\n", + " 0.471888\n", + " 0.726431\n", + " -0.471457\n", " 1.000000\n", - " 0.508031\n", - " 0.831387\n", - " -0.457631\n", - " -0.397722\n", - " 0.820786\n", - " 0.110645\n", - " 0.122729\n", - " -0.053435\n", - " 0.308474\n", - " 0.066970\n", + " 0.516313\n", + " 0.796140\n", + " -0.514744\n", + " -0.478807\n", + " 0.904476\n", + " 0.102901\n", + " 0.112699\n", + " -0.075580\n", + " 0.287707\n", + " 0.070657\n", " \n", " \n", " ONEOFF_PURCHASES_FREQUENCY\n", - " 0.102318\n", - " 0.181196\n", - " 0.672055\n", - " 0.824324\n", - " 0.231340\n", - " -0.152434\n", - " 0.508031\n", + " 0.118327\n", + " 0.160904\n", + " 0.688050\n", + " 0.908505\n", + " 0.198574\n", + " -0.175522\n", + " 0.516313\n", " 1.000000\n", - " 0.130807\n", - " -0.164373\n", - " -0.137542\n", - " 0.627696\n", - " 0.296455\n", - " 0.300928\n", - " -0.009630\n", - " 0.099064\n", - " 0.083856\n", + " 0.117636\n", + " -0.181567\n", + " -0.164385\n", + " 0.621617\n", + " 0.283876\n", + " 0.290910\n", + " 0.012491\n", + " 0.066851\n", + " 0.084769\n", " \n", " \n", " PURCHASES_INSTALLMENTS_FREQUENCY\n", - " -0.128057\n", - " 0.123737\n", - " 0.527451\n", - " 0.154497\n", - " 0.815592\n", - " -0.309058\n", - " 0.831387\n", - " 0.130807\n", + " -0.149990\n", + " 0.087914\n", + " 0.599947\n", + " 0.142016\n", + " 0.907243\n", + " -0.361641\n", + " 0.796140\n", + " 0.117636\n", " 1.000000\n", - " -0.366260\n", - " -0.315583\n", - " 0.715472\n", - " 0.058378\n", - " 0.102431\n", - " -0.018277\n", - " 0.275739\n", - " 0.073884\n", + " -0.399978\n", + " -0.370179\n", + " 0.751626\n", + " 0.057585\n", + " 0.102552\n", + " -0.036015\n", + " 0.273671\n", + " 0.075491\n", " \n", " \n", " CASH_ADVANCE_FREQUENCY\n", - " 0.531558\n", - " 0.192852\n", - " -0.300179\n", - " -0.156438\n", - " -0.292878\n", - " 0.834290\n", - " -0.457631\n", - " -0.164373\n", - " -0.366260\n", + " 0.539809\n", + " 0.180032\n", + " -0.400350\n", + " -0.179905\n", + " -0.357387\n", + " 0.906146\n", + " -0.514744\n", + " -0.181567\n", + " -0.399978\n", " 1.000000\n", - " 0.939703\n", - " -0.325492\n", - " 0.100658\n", - " 0.205875\n", - " 0.278039\n", - " -0.305366\n", - " -0.124117\n", + " 0.971407\n", + " -0.425979\n", + " 0.080033\n", + " 0.194205\n", + " 0.338248\n", + " -0.306304\n", + " -0.115159\n", " \n", " \n", " CASH_ADVANCE_TRX\n", - " 0.525505\n", - " 0.180504\n", - " -0.254318\n", - " -0.129146\n", - " -0.247026\n", - " 0.848970\n", - " -0.397722\n", - " -0.137542\n", - " -0.315583\n", - " 0.939703\n", + " 0.545541\n", + " 0.177047\n", + " -0.369054\n", + " -0.162202\n", + " -0.328186\n", + " 0.915648\n", + " -0.478807\n", + " -0.164385\n", + " -0.370179\n", + " 0.971407\n", " 1.000000\n", - " -0.273108\n", - " 0.133933\n", - " 0.256674\n", - " 0.302627\n", - " -0.266926\n", - " -0.072471\n", + " -0.391183\n", + " 0.107610\n", + " 0.229918\n", + " 0.362957\n", + " -0.284850\n", + " -0.080748\n", " \n", " \n", " PURCHASES_TRX\n", - " 0.042819\n", - " 0.194752\n", - " 0.843175\n", - " 0.637828\n", - " 0.757427\n", - " -0.273181\n", - " 0.820786\n", - " 0.627696\n", - " 0.715472\n", - " -0.325492\n", - " -0.273108\n", + " -0.031477\n", + " 0.151059\n", + " 0.897577\n", + " 0.628540\n", + " 0.774562\n", + " -0.387271\n", + " 0.904476\n", + " 0.621617\n", + " 0.751626\n", + " -0.425979\n", + " -0.391183\n", " 1.000000\n", - " 0.250522\n", - " 0.341845\n", - " 0.062609\n", - " 0.240429\n", - " 0.145224\n", + " 0.214283\n", + " 0.279768\n", + " 0.022786\n", + " 0.254711\n", + " 0.139951\n", " \n", " \n", " CREDIT_LIMIT\n", - " 0.456740\n", - " 0.093166\n", - " 0.341895\n", - " 0.352743\n", - " 0.205210\n", - " 0.261001\n", - " 0.110645\n", - " 0.296455\n", - " 0.058378\n", - " 0.100658\n", - " 0.133933\n", - " 0.250522\n", + " 0.411791\n", + " 0.087216\n", + " 0.294130\n", + " 0.335554\n", + " 0.164430\n", + " 0.209708\n", + " 0.102901\n", + " 0.283876\n", + " 0.057585\n", + " 0.080033\n", + " 0.107610\n", + " 0.214283\n", " 1.000000\n", - " 0.461019\n", - " 0.228766\n", - " 0.039825\n", - " 0.158845\n", + " 0.448635\n", + " 0.253704\n", + " 0.031893\n", + " 0.164311\n", " \n", " \n", " PAYMENTS\n", - " 0.403422\n", - " 0.171135\n", - " 0.496092\n", - " 0.471265\n", - " 0.330005\n", - " 0.368825\n", - " 0.122729\n", - " 0.300928\n", - " 0.102431\n", - " 0.205875\n", - " 0.256674\n", - " 0.341845\n", - " 0.461019\n", + " 0.426075\n", + " 0.229388\n", + " 0.401860\n", + " 0.406005\n", + " 0.267006\n", + " 0.307411\n", + " 0.112699\n", + " 0.290910\n", + " 0.102552\n", + " 0.194205\n", + " 0.229918\n", + " 0.279768\n", + " 0.448635\n", " 1.000000\n", - " 0.241452\n", - " 0.175619\n", - " 0.174052\n", + " 0.303312\n", + " 0.201820\n", + " 0.196880\n", " \n", " \n", " MINIMUM_PAYMENTS\n", - " 0.663993\n", - " 0.192395\n", - " 0.079384\n", - " 0.051873\n", - " 0.078573\n", - " 0.325816\n", - " -0.053435\n", - " -0.009630\n", - " -0.018277\n", - " 0.278039\n", - " 0.302627\n", - " 0.062609\n", - " 0.228766\n", - " 0.241452\n", + " 0.744121\n", + " 0.267524\n", + " 0.042703\n", + " 0.055164\n", + " 0.036630\n", + " 0.379249\n", + " -0.075580\n", + " 0.012491\n", + " -0.036015\n", + " 0.338248\n", + " 0.362957\n", + " 0.022786\n", + " 0.253704\n", + " 0.303312\n", " 1.000000\n", - " -0.319688\n", - " 0.103005\n", + " -0.353103\n", + " 0.127403\n", " \n", " \n", " PRC_FULL_PAYMENT\n", - " -0.453893\n", - " -0.056715\n", - " 0.245880\n", - " 0.113810\n", - " 0.269962\n", - " -0.233943\n", - " 0.308474\n", - " 0.099064\n", - " 0.275739\n", - " -0.305366\n", - " -0.266926\n", - " 0.240429\n", - " 0.039825\n", - " 0.175619\n", - " -0.319688\n", + " -0.471822\n", + " -0.028250\n", + " 0.253852\n", + " 0.082546\n", + " 0.282240\n", + " -0.255615\n", + " 0.287707\n", + " 0.066851\n", + " 0.273671\n", + " -0.306304\n", + " -0.284850\n", + " 0.254711\n", + " 0.031893\n", + " 0.201820\n", + " -0.353103\n", " 1.000000\n", - " -0.001969\n", + " 0.007009\n", " \n", " \n", " TENURE\n", - " 0.079000\n", - " 0.093694\n", - " 0.116914\n", - " 0.090035\n", - " 0.108182\n", - " -0.096013\n", - " 0.066970\n", - " 0.083856\n", - " 0.073884\n", - " -0.124117\n", - " -0.072471\n", - " 0.145224\n", - " 0.158845\n", - " 0.174052\n", - " 0.103005\n", - " -0.001969\n", + " 0.078934\n", + " 0.078095\n", + " 0.117656\n", + " 0.093512\n", + " 0.106190\n", + " -0.100092\n", + " 0.070657\n", + " 0.084769\n", + " 0.075491\n", + " -0.115159\n", + " -0.080748\n", + " 0.139951\n", + " 0.164311\n", + " 0.196880\n", + " 0.127403\n", + " 0.007009\n", " 1.000000\n", " \n", " \n", @@ -1416,186 +1641,191 @@ ], "text/plain": [ " BALANCE BALANCE_FREQUENCY PURCHASES \\\n", - "BALANCE 1.000000 0.439550 0.102217 \n", - "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n", - "PURCHASES 0.102217 0.166903 1.000000 \n", - "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n", - "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n", - "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n", - "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n", - "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n", - "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n", - "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n", - "PURCHASES_TRX 0.042819 0.194752 0.843175 \n", - "CREDIT_LIMIT 0.456740 0.093166 0.341895 \n", - "PAYMENTS 0.403422 0.171135 0.496092 \n", - "MINIMUM_PAYMENTS 0.663993 0.192395 0.079384 \n", - "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n", - "TENURE 0.079000 0.093694 0.116914 \n", + "BALANCE 1.000000 0.484742 0.030942 \n", + "BALANCE_FREQUENCY 0.484742 1.000000 0.140029 \n", + "PURCHASES 0.030942 0.140029 1.000000 \n", + "ONEOFF_PURCHASES 0.171176 0.146121 0.794285 \n", + "INSTALLMENTS_PURCHASES -0.047593 0.115348 0.719317 \n", + "CASH_ADVANCE 0.576224 0.147315 -0.353517 \n", + "PURCHASES_FREQUENCY -0.181722 0.102016 0.811583 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.118327 0.160904 0.688050 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.149990 0.087914 0.599947 \n", + "CASH_ADVANCE_FREQUENCY 0.539809 0.180032 -0.400350 \n", + "CASH_ADVANCE_TRX 0.545541 0.177047 -0.369054 \n", + "PURCHASES_TRX -0.031477 0.151059 0.897577 \n", + "CREDIT_LIMIT 0.411791 0.087216 0.294130 \n", + "PAYMENTS 0.426075 0.229388 0.401860 \n", + "MINIMUM_PAYMENTS 0.744121 0.267524 0.042703 \n", + "PRC_FULL_PAYMENT -0.471822 -0.028250 0.253852 \n", + "TENURE 0.078934 0.078095 0.117656 \n", "\n", " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n", - "BALANCE 0.172933 0.013676 \n", - "BALANCE_FREQUENCY 0.147846 0.142073 \n", - "PURCHASES 0.852625 0.728559 \n", - "ONEOFF_PURCHASES 1.000000 0.306789 \n", - "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n", - "CASH_ADVANCE -0.123410 -0.230397 \n", - "PURCHASES_FREQUENCY 0.422181 0.683154 \n", - "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n", - "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n", - "CASH_ADVANCE_TRX -0.129146 -0.247026 \n", - "PURCHASES_TRX 0.637828 0.757427 \n", - "CREDIT_LIMIT 0.352743 0.205210 \n", - "PAYMENTS 0.471265 0.330005 \n", - "MINIMUM_PAYMENTS 0.051873 0.078573 \n", - "PRC_FULL_PAYMENT 0.113810 0.269962 \n", - "TENURE 0.090035 0.108182 \n", + "BALANCE 0.171176 -0.047593 \n", + "BALANCE_FREQUENCY 0.146121 0.115348 \n", + "PURCHASES 0.794285 0.719317 \n", + "ONEOFF_PURCHASES 1.000000 0.250702 \n", + "INSTALLMENTS_PURCHASES 0.250702 1.000000 \n", + "CASH_ADVANCE -0.161092 -0.313546 \n", + "PURCHASES_FREQUENCY 0.471888 0.726431 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.908505 0.198574 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.142016 0.907243 \n", + "CASH_ADVANCE_FREQUENCY -0.179905 -0.357387 \n", + "CASH_ADVANCE_TRX -0.162202 -0.328186 \n", + "PURCHASES_TRX 0.628540 0.774562 \n", + "CREDIT_LIMIT 0.335554 0.164430 \n", + "PAYMENTS 0.406005 0.267006 \n", + "MINIMUM_PAYMENTS 0.055164 0.036630 \n", + "PRC_FULL_PAYMENT 0.082546 0.282240 \n", + "TENURE 0.093512 0.106190 \n", "\n", " CASH_ADVANCE PURCHASES_FREQUENCY \\\n", - "BALANCE 0.575879 -0.153306 \n", - "BALANCE_FREQUENCY 0.138545 0.154265 \n", - "PURCHASES -0.236233 0.687428 \n", - "ONEOFF_PURCHASES -0.123410 0.422181 \n", - "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n", - "CASH_ADVANCE 1.000000 -0.392948 \n", - "PURCHASES_FREQUENCY -0.392948 1.000000 \n", - "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n", - "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n", - "CASH_ADVANCE_TRX 0.848970 -0.397722 \n", - "PURCHASES_TRX -0.273181 0.820786 \n", - "CREDIT_LIMIT 0.261001 0.110645 \n", - "PAYMENTS 0.368825 0.122729 \n", - "MINIMUM_PAYMENTS 0.325816 -0.053435 \n", - "PRC_FULL_PAYMENT -0.233943 0.308474 \n", - "TENURE -0.096013 0.066970 \n", + "BALANCE 0.576224 -0.181722 \n", + "BALANCE_FREQUENCY 0.147315 0.102016 \n", + "PURCHASES -0.353517 0.811583 \n", + "ONEOFF_PURCHASES -0.161092 0.471888 \n", + "INSTALLMENTS_PURCHASES -0.313546 0.726431 \n", + "CASH_ADVANCE 1.000000 -0.471457 \n", + "PURCHASES_FREQUENCY -0.471457 1.000000 \n", + "ONEOFF_PURCHASES_FREQUENCY -0.175522 0.516313 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.361641 0.796140 \n", + "CASH_ADVANCE_FREQUENCY 0.906146 -0.514744 \n", + "CASH_ADVANCE_TRX 0.915648 -0.478807 \n", + "PURCHASES_TRX -0.387271 0.904476 \n", + "CREDIT_LIMIT 0.209708 0.102901 \n", + "PAYMENTS 0.307411 0.112699 \n", + "MINIMUM_PAYMENTS 0.379249 -0.075580 \n", + "PRC_FULL_PAYMENT -0.255615 0.287707 \n", + "TENURE -0.100092 0.070657 \n", "\n", " ONEOFF_PURCHASES_FREQUENCY \\\n", - "BALANCE 0.102318 \n", - "BALANCE_FREQUENCY 0.181196 \n", - "PURCHASES 0.672055 \n", - "ONEOFF_PURCHASES 0.824324 \n", - "INSTALLMENTS_PURCHASES 0.231340 \n", - "CASH_ADVANCE -0.152434 \n", - "PURCHASES_FREQUENCY 0.508031 \n", + "BALANCE 0.118327 \n", + "BALANCE_FREQUENCY 0.160904 \n", + "PURCHASES 0.688050 \n", + "ONEOFF_PURCHASES 0.908505 \n", + "INSTALLMENTS_PURCHASES 0.198574 \n", + "CASH_ADVANCE -0.175522 \n", + "PURCHASES_FREQUENCY 0.516313 \n", "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n", - "CASH_ADVANCE_FREQUENCY -0.164373 \n", - "CASH_ADVANCE_TRX -0.137542 \n", - "PURCHASES_TRX 0.627696 \n", - "CREDIT_LIMIT 0.296455 \n", - "PAYMENTS 0.300928 \n", - "MINIMUM_PAYMENTS -0.009630 \n", - "PRC_FULL_PAYMENT 0.099064 \n", - "TENURE 0.083856 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.117636 \n", + "CASH_ADVANCE_FREQUENCY -0.181567 \n", + "CASH_ADVANCE_TRX -0.164385 \n", + "PURCHASES_TRX 0.621617 \n", + "CREDIT_LIMIT 0.283876 \n", + "PAYMENTS 0.290910 \n", + "MINIMUM_PAYMENTS 0.012491 \n", + "PRC_FULL_PAYMENT 0.066851 \n", + "TENURE 0.084769 \n", "\n", " PURCHASES_INSTALLMENTS_FREQUENCY \\\n", - "BALANCE -0.128057 \n", - "BALANCE_FREQUENCY 0.123737 \n", - "PURCHASES 0.527451 \n", - "ONEOFF_PURCHASES 0.154497 \n", - "INSTALLMENTS_PURCHASES 0.815592 \n", - "CASH_ADVANCE -0.309058 \n", - "PURCHASES_FREQUENCY 0.831387 \n", - "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n", + "BALANCE -0.149990 \n", + "BALANCE_FREQUENCY 0.087914 \n", + "PURCHASES 0.599947 \n", + "ONEOFF_PURCHASES 0.142016 \n", + "INSTALLMENTS_PURCHASES 0.907243 \n", + "CASH_ADVANCE -0.361641 \n", + "PURCHASES_FREQUENCY 0.796140 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.117636 \n", "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n", - "CASH_ADVANCE_FREQUENCY -0.366260 \n", - "CASH_ADVANCE_TRX -0.315583 \n", - "PURCHASES_TRX 0.715472 \n", - "CREDIT_LIMIT 0.058378 \n", - "PAYMENTS 0.102431 \n", - "MINIMUM_PAYMENTS -0.018277 \n", - "PRC_FULL_PAYMENT 0.275739 \n", - "TENURE 0.073884 \n", + "CASH_ADVANCE_FREQUENCY -0.399978 \n", + "CASH_ADVANCE_TRX -0.370179 \n", + "PURCHASES_TRX 0.751626 \n", + "CREDIT_LIMIT 0.057585 \n", + "PAYMENTS 0.102552 \n", + "MINIMUM_PAYMENTS -0.036015 \n", + "PRC_FULL_PAYMENT 0.273671 \n", + "TENURE 0.075491 \n", "\n", " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n", - "BALANCE 0.531558 0.525505 \n", - "BALANCE_FREQUENCY 0.192852 0.180504 \n", - "PURCHASES -0.300179 -0.254318 \n", - "ONEOFF_PURCHASES -0.156438 -0.129146 \n", - "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n", - "CASH_ADVANCE 0.834290 0.848970 \n", - "PURCHASES_FREQUENCY -0.457631 -0.397722 \n", - "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n", - "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n", - "CASH_ADVANCE_TRX 0.939703 1.000000 \n", - "PURCHASES_TRX -0.325492 -0.273108 \n", - "CREDIT_LIMIT 0.100658 0.133933 \n", - "PAYMENTS 0.205875 0.256674 \n", - "MINIMUM_PAYMENTS 0.278039 0.302627 \n", - "PRC_FULL_PAYMENT -0.305366 -0.266926 \n", - "TENURE -0.124117 -0.072471 \n", + "BALANCE 0.539809 0.545541 \n", + "BALANCE_FREQUENCY 0.180032 0.177047 \n", + "PURCHASES -0.400350 -0.369054 \n", + "ONEOFF_PURCHASES -0.179905 -0.162202 \n", + "INSTALLMENTS_PURCHASES -0.357387 -0.328186 \n", + "CASH_ADVANCE 0.906146 0.915648 \n", + "PURCHASES_FREQUENCY -0.514744 -0.478807 \n", + "ONEOFF_PURCHASES_FREQUENCY -0.181567 -0.164385 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.399978 -0.370179 \n", + "CASH_ADVANCE_FREQUENCY 1.000000 0.971407 \n", + "CASH_ADVANCE_TRX 0.971407 1.000000 \n", + "PURCHASES_TRX -0.425979 -0.391183 \n", + "CREDIT_LIMIT 0.080033 0.107610 \n", + "PAYMENTS 0.194205 0.229918 \n", + "MINIMUM_PAYMENTS 0.338248 0.362957 \n", + "PRC_FULL_PAYMENT -0.306304 -0.284850 \n", + "TENURE -0.115159 -0.080748 \n", "\n", " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n", - "BALANCE 0.042819 0.456740 0.403422 \n", - "BALANCE_FREQUENCY 0.194752 0.093166 0.171135 \n", - "PURCHASES 0.843175 0.341895 0.496092 \n", - "ONEOFF_PURCHASES 0.637828 0.352743 0.471265 \n", - "INSTALLMENTS_PURCHASES 0.757427 0.205210 0.330005 \n", - "CASH_ADVANCE -0.273181 0.261001 0.368825 \n", - "PURCHASES_FREQUENCY 0.820786 0.110645 0.122729 \n", - "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296455 0.300928 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058378 0.102431 \n", - "CASH_ADVANCE_FREQUENCY -0.325492 0.100658 0.205875 \n", - "CASH_ADVANCE_TRX -0.273108 0.133933 0.256674 \n", - "PURCHASES_TRX 1.000000 0.250522 0.341845 \n", - "CREDIT_LIMIT 0.250522 1.000000 0.461019 \n", - "PAYMENTS 0.341845 0.461019 1.000000 \n", - "MINIMUM_PAYMENTS 0.062609 0.228766 0.241452 \n", - "PRC_FULL_PAYMENT 0.240429 0.039825 0.175619 \n", - "TENURE 0.145224 0.158845 0.174052 \n", + "BALANCE -0.031477 0.411791 0.426075 \n", + "BALANCE_FREQUENCY 0.151059 0.087216 0.229388 \n", + "PURCHASES 0.897577 0.294130 0.401860 \n", + "ONEOFF_PURCHASES 0.628540 0.335554 0.406005 \n", + "INSTALLMENTS_PURCHASES 0.774562 0.164430 0.267006 \n", + "CASH_ADVANCE -0.387271 0.209708 0.307411 \n", + "PURCHASES_FREQUENCY 0.904476 0.102901 0.112699 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.621617 0.283876 0.290910 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY 0.751626 0.057585 0.102552 \n", + "CASH_ADVANCE_FREQUENCY -0.425979 0.080033 0.194205 \n", + "CASH_ADVANCE_TRX -0.391183 0.107610 0.229918 \n", + "PURCHASES_TRX 1.000000 0.214283 0.279768 \n", + "CREDIT_LIMIT 0.214283 1.000000 0.448635 \n", + "PAYMENTS 0.279768 0.448635 1.000000 \n", + "MINIMUM_PAYMENTS 0.022786 0.253704 0.303312 \n", + "PRC_FULL_PAYMENT 0.254711 0.031893 0.201820 \n", + "TENURE 0.139951 0.164311 0.196880 \n", "\n", " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n", - "BALANCE 0.663993 -0.453893 0.079000 \n", - "BALANCE_FREQUENCY 0.192395 -0.056715 0.093694 \n", - "PURCHASES 0.079384 0.245880 0.116914 \n", - "ONEOFF_PURCHASES 0.051873 0.113810 0.090035 \n", - "INSTALLMENTS_PURCHASES 0.078573 0.269962 0.108182 \n", - "CASH_ADVANCE 0.325816 -0.233943 -0.096013 \n", - "PURCHASES_FREQUENCY -0.053435 0.308474 0.066970 \n", - "ONEOFF_PURCHASES_FREQUENCY -0.009630 0.099064 0.083856 \n", - "PURCHASES_INSTALLMENTS_FREQUENCY -0.018277 0.275739 0.073884 \n", - "CASH_ADVANCE_FREQUENCY 0.278039 -0.305366 -0.124117 \n", - "CASH_ADVANCE_TRX 0.302627 -0.266926 -0.072471 \n", - "PURCHASES_TRX 0.062609 0.240429 0.145224 \n", - "CREDIT_LIMIT 0.228766 0.039825 0.158845 \n", - "PAYMENTS 0.241452 0.175619 0.174052 \n", - "MINIMUM_PAYMENTS 1.000000 -0.319688 0.103005 \n", - "PRC_FULL_PAYMENT -0.319688 1.000000 -0.001969 \n", - "TENURE 0.103005 -0.001969 1.000000 " + "BALANCE 0.744121 -0.471822 0.078934 \n", + "BALANCE_FREQUENCY 0.267524 -0.028250 0.078095 \n", + "PURCHASES 0.042703 0.253852 0.117656 \n", + "ONEOFF_PURCHASES 0.055164 0.082546 0.093512 \n", + "INSTALLMENTS_PURCHASES 0.036630 0.282240 0.106190 \n", + "CASH_ADVANCE 0.379249 -0.255615 -0.100092 \n", + "PURCHASES_FREQUENCY -0.075580 0.287707 0.070657 \n", + "ONEOFF_PURCHASES_FREQUENCY 0.012491 0.066851 0.084769 \n", + "PURCHASES_INSTALLMENTS_FREQUENCY -0.036015 0.273671 0.075491 \n", + "CASH_ADVANCE_FREQUENCY 0.338248 -0.306304 -0.115159 \n", + "CASH_ADVANCE_TRX 0.362957 -0.284850 -0.080748 \n", + "PURCHASES_TRX 0.022786 0.254711 0.139951 \n", + "CREDIT_LIMIT 0.253704 0.031893 0.164311 \n", + "PAYMENTS 0.303312 0.201820 0.196880 \n", + "MINIMUM_PAYMENTS 1.000000 -0.353103 0.127403 \n", + "PRC_FULL_PAYMENT -0.353103 1.000000 0.007009 \n", + "TENURE 0.127403 0.007009 1.000000 " ] }, - "execution_count": 15, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "df.corr()" + "df.corr()\n", + "#here is the tabe of correlational values which correlates the data between every pair of given columns.\n", + "#the values lie between [-1,1].\n", + "#value=1 impies the two columns are directly related with some constant. \n", + "#value=-1 impies the two columns are inversely related with some constant.\n", + "#vlaue=0 implies the two columns are not related and contain random values unrelated with each other's.\n" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "id": "6bb5b02f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Text(0.5, 1.0, 'Correlation between different fearures')" + "Text(0.5, 1.0, 'Correlation between each pair of attributes')" ] }, - "execution_count": 16, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1611,12 +1841,14 @@ "plt.figure(figsize=(17,17))\n", "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n", "\n", - "plt.title('Correlation between different fearures')" + "plt.title('Correlation between each pair of attributes')\n", + "\n", + "#heatmap of the above correlational table" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, "id": "4858185d", "metadata": {}, "outputs": [], @@ -1627,23 +1859,23 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "id": "a5caaf6f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Text(0, 0.5, 'Cumulative explained variance')" + "Text(0, 0.5, 'Cumulated variance')" ] }, - "execution_count": 18, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1660,12 +1892,15 @@ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlim(0,16,1)\n", "plt.xlabel('Number of components')\n", - "plt.ylabel('Cumulative explained variance')" + "plt.ylabel('Cumulated variance')\n", + "\n", + "#This is the graph of cumulated variance against each column. We see about 90% of the data can be retrived from the first 7 columns.\n", + "#Hence we include only the first 7 columns in our dataset hereafter as it will significantly reduce the computational power needed ahead." ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 22, "id": "be34e4ce", "metadata": {}, "outputs": [], @@ -1677,7 +1912,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 23, "id": "1da8407b", "metadata": {}, "outputs": [ @@ -1685,19 +1920,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[-0.88512191 -2.48301693 0.23090242 ... 0.04336989 -0.38202562\n", - " -0.35720617]\n", - " [-3.00034342 2.01508943 -0.16533426 ... 1.67093843 -0.28801526\n", - " 0.94274938]\n", - " [ 1.19172624 0.38517395 -1.92678896 ... -0.55010278 -0.23006842\n", - " 0.52287556]\n", + "[[-0.16233451 -2.69117983 0.46297449 ... -0.08457631 -0.38191474\n", + " -0.43721347]\n", + " [-3.60957798 1.45228613 0.25777564 ... -1.72332403 -0.34833839\n", + " 0.81566449]\n", + " [ 1.20945579 0.73964976 -2.32216298 ... -0.09763603 -0.15114037\n", + " 0.60323093]\n", " ...\n", - " [ 0.10596162 -3.06675754 1.18931984 ... -2.96585047 1.26333337\n", - " 1.97973232]\n", - " [-2.84716017 -2.51797947 -0.29519488 ... -2.99036079 0.69668999\n", - " 1.77427724]\n", - " [-0.16460436 -0.5243077 -1.64424995 ... -4.69253162 1.53231934\n", - " 0.09281539]]\n" + " [ 0.75546554 -3.34689685 1.21847986 ... 3.28823556 -0.19473486\n", + " 2.37914932]\n", + " [-3.00497656 -3.26360806 -0.2343057 ... 3.23460973 -0.83181475\n", + " 1.85400704]\n", + " [-0.18104591 -0.48937068 -2.03433126 ... 5.01938353 0.52462141\n", + " 0.63039102]]\n" ] } ], @@ -1707,7 +1942,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 24, "id": "40d8ff8c", "metadata": {}, "outputs": [ @@ -1717,7 +1952,7 @@ "(8950, 7)" ] }, - "execution_count": 21, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1728,7 +1963,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 25, "id": "0dfe0cfe", "metadata": {}, "outputs": [], @@ -1738,7 +1973,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 26, "id": "73417a0c", "metadata": {}, "outputs": [ @@ -1775,53 +2010,53 @@ " \n", " \n", " 0\n", - " -0.885122\n", - " -2.483017\n", - " 0.230902\n", - " 0.807129\n", - " 0.043370\n", - " -0.382026\n", - " -0.357206\n", + " -0.162335\n", + " -2.691180\n", + " 0.462974\n", + " 1.026700\n", + " -0.084576\n", + " -0.381915\n", + " -0.437213\n", " \n", " \n", " 1\n", - " -3.000343\n", - " 2.015089\n", - " -0.165334\n", - " -1.087171\n", - " 1.670938\n", - " -0.288015\n", - " 0.942749\n", + " -3.609578\n", + " 1.452286\n", + " 0.257776\n", + " -1.393030\n", + " -1.723324\n", + " -0.348338\n", + " 0.815664\n", " \n", " \n", " 2\n", - " 1.191726\n", - " 0.385174\n", - " -1.926789\n", - " 1.859338\n", - " -0.550103\n", - " -0.230068\n", - " 0.522876\n", + " 1.209456\n", + " 0.739650\n", + " -2.322163\n", + " 1.648912\n", + " -0.097636\n", + " -0.151140\n", + " 0.603231\n", " \n", " \n", " 3\n", - " -0.794805\n", - " 0.218433\n", - " -1.661542\n", - " 1.195618\n", - " 0.058950\n", - " 0.798510\n", - " -0.086756\n", + " -0.822521\n", + " 0.108655\n", + " -1.989476\n", + " 0.888491\n", + " 0.370795\n", + " 0.837325\n", + " -0.335510\n", " \n", " \n", " 4\n", - " -1.265058\n", - " -1.593317\n", - " -0.689436\n", - " 1.339644\n", - " -0.114019\n", - " -0.837737\n", - " 0.231600\n", + " -0.810982\n", + " -1.546788\n", + " -1.102041\n", + " 1.423934\n", + " -0.236897\n", + " -1.051649\n", + " 0.055955\n", " \n", " \n", " ...\n", @@ -1835,53 +2070,53 @@ " \n", " \n", " 8945\n", - " 0.668484\n", - " -2.871696\n", - " 1.452469\n", - " -2.236975\n", - " -2.854943\n", - " 0.766981\n", - " 2.343375\n", + " 1.216913\n", + " -3.051476\n", + " 1.469319\n", + " -1.673300\n", + " 3.131803\n", + " -0.675914\n", + " 2.519925\n", " \n", " \n", " 8946\n", - " 0.262604\n", - " -2.240280\n", - " 1.844972\n", - " -0.568118\n", - " -3.339266\n", - " 1.706628\n", - " 1.774529\n", + " 0.789993\n", + " -2.551945\n", + " 1.538114\n", + " 0.027147\n", + " 3.621475\n", + " 0.183180\n", + " 2.283537\n", " \n", " \n", " 8947\n", - " 0.105962\n", - " -3.066758\n", - " 1.189320\n", - " -1.775107\n", - " -2.965850\n", - " 1.263333\n", - " 1.979732\n", + " 0.755466\n", + " -3.346897\n", + " 1.218480\n", + " -1.190059\n", + " 3.288236\n", + " -0.194735\n", + " 2.379149\n", " \n", " \n", " 8948\n", - " -2.847160\n", - " -2.517979\n", - " -0.295195\n", - " -2.148352\n", - " -2.990361\n", - " 0.696690\n", - " 1.774277\n", + " -3.004977\n", + " -3.263608\n", + " -0.234306\n", + " -1.934602\n", + " 3.234610\n", + " -0.831815\n", + " 1.854007\n", " \n", " \n", " 8949\n", - " -0.164604\n", - " -0.524308\n", - " -1.644250\n", - " -1.315554\n", - " -4.692532\n", - " 1.532319\n", - " 0.092815\n", + " -0.181046\n", + " -0.489371\n", + " -2.034331\n", + " -0.912151\n", + " 5.019384\n", + " 0.524621\n", + " 0.630391\n", " \n", " \n", "\n", @@ -1890,22 +2125,22 @@ ], "text/plain": [ " PC1 PC2 PC3 PC4 PC5 PC6 PC7\n", - "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026 -0.357206\n", - "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015 0.942749\n", - "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068 0.522876\n", - "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510 -0.086756\n", - "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737 0.231600\n", + "0 -0.162335 -2.691180 0.462974 1.026700 -0.084576 -0.381915 -0.437213\n", + "1 -3.609578 1.452286 0.257776 -1.393030 -1.723324 -0.348338 0.815664\n", + "2 1.209456 0.739650 -2.322163 1.648912 -0.097636 -0.151140 0.603231\n", + "3 -0.822521 0.108655 -1.989476 0.888491 0.370795 0.837325 -0.335510\n", + "4 -0.810982 -1.546788 -1.102041 1.423934 -0.236897 -1.051649 0.055955\n", "... ... ... ... ... ... ... ...\n", - "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981 2.343375\n", - "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628 1.774529\n", - "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333 1.979732\n", - "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690 1.774277\n", - "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319 0.092815\n", + "8945 1.216913 -3.051476 1.469319 -1.673300 3.131803 -0.675914 2.519925\n", + "8946 0.789993 -2.551945 1.538114 0.027147 3.621475 0.183180 2.283537\n", + "8947 0.755466 -3.346897 1.218480 -1.190059 3.288236 -0.194735 2.379149\n", + "8948 -3.004977 -3.263608 -0.234306 -1.934602 3.234610 -0.831815 1.854007\n", + "8949 -0.181046 -0.489371 -2.034331 -0.912151 5.019384 0.524621 0.630391\n", "\n", "[8950 rows x 7 columns]" ] }, - "execution_count": 23, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1916,29 +2151,23 @@ }, { "cell_type": "code", - "execution_count": 24, - "id": "6e4cfdff", + "execution_count": 27, + "id": "a298c758", "metadata": {}, "outputs": [], "source": [ - "from sklearn.cluster import KMeans\n", - "wcss = []\n", - "m = range(1,11)\n", - "for i in m:\n", - " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n", - " kmeans.fit(df)\n", - " wcss.append(kmeans.inertia_)" + "#since we cannot plot the graph containing all 7 axes, here I have plotted the PC2 - PC7 against PC1" ] }, { "cell_type": "code", - "execution_count": 25, - "id": "d413ddb9", + "execution_count": 28, + "id": "c78613f8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1950,22 +2179,22 @@ } ], "source": [ - "plt.plot(m,wcss,'bx-')\n", - "plt.plot(range(1,11),wcss)\n", - "plt.xlabel('PC')\n", - "plt.ylabel('Inertia')\n", + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"grey\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC2\")\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 26, - "id": "c78613f8", + "execution_count": 29, + "id": "402f6edd", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1978,21 +2207,178 @@ ], "source": [ "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", - "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n", + "plt.scatter(X[\"PC1\"], X[\"PC3\"], c=\"grey\")\n", "plt.xlabel(\"PC1\")\n", - "plt.ylabel(\"PC2\")\n", + "plt.ylabel(\"PC3\")\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 27, - "id": "10a90699", + "execution_count": 30, + "id": "f376b04b", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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ZNscFM/JcAbwCwBsB9InoC2fHHmLmj+Unkh1h/etN+6nEaUAGZBc3ljK6auG15oizmlWhW1FErTaiFLn0KsqG3AwAM/8ZgOxLIDIiLN5ok4gKJmBNyySzqsPO0sNKUnYoZIeXx1pZWcH8/Lx2Z3gU/vtc9wzEVeSS5M2GQlQBlQ1VHHN1dRWrq6vGiajg5rIbN24om6Z5xKnDNkmOmT6YcRJtFy9eTMXDFNKn2+3i5s2boxbbtVot8h4MQkRYXFwcuw/SrtbJurNqVcm9CsiGolQB6UI9UdU5KgVqUxVkUwVk2sfItMrCpieSn62tLTECM4zpfQBItU4eFLIKqKzowiW6mcC6CgibUIvNa01j+yb9jlRdJU3yBCsrK2IAZhibfJFU6xQHMQAxiBqqoipr0ynjrAa028T2o/od2Z7Dj/SSn32kIqd8yECYGES1UFCVtUUNljHBNvEVd4u8TZMyE4NUxPYBQrpIRU75EAMQg+DEqzBsKh283kBLSxMhulC63a7xhCbdZDAdpt6cyWf1+33xDiuAVOSUDwkBxcQLl6iSt/5yTd3AD39voP39fQD6skl/SObGjRsjWXRyAvbVEyYhKSKKTPwl6XkklAuJ65cPMQAJ6XQ62NzcnGh25p83q9rw5Z9l66+/Nq3MOjk5Qa/Xi3zw4iTdOp1OZFmqiZw2oSShvEj4p5xICCgh7XYbzWZz4rg3b1anAOPOsvWTZUdJk1bFUUPOJfQz+xS5P5WgR1YAKaAbqzgNtra2sLKyYv0+XT22TQtn13WVlU/TmFIl5IvJSlBq/4uJbARLSL/fx/Xr10MfgrjdFuNw9epVq9frZtHGbd3gvc//gL///e/Hk08+af1ZQrnwvvMwJZ9kA6GQDqqNYGIAEqBTorr+6FlgO0g+yTwCExqNBhYXF2XzV4XxngFVAYTjOGg2m7IqmAIqAyA5gASo4vv+6ph2u43FxcXMR//ZVtpkvSo5PDzE7u5upucQio23H0Z1r7muO9Z+/MaNG7JhcMpIDiABqhubmcd21O7t7WXeDdNviEzirdMY0l6m1aWQDYPBwDikeHJygps3b0quYIqIAUiASQfNaZZBbm1tYX5+PtbEJUHIChtH4PDwcGIoEaC/dyXBHB/JAfiwvZF0yS1APWw9S1SefTDeKpU5QlnQdb+VBLMZ0g00gjizSlW7bAGEbg6bBqqwjuu6o9+J8hfKhO5+lUl2yRADcEbcGynYQTMPr18QyoTXavyxxx4zcpJse27pjgvjiAE4I+mNVJSBJ0SEubk5ab8gTB2v0i0qrOyFc+bn50djKVVENRuUWcHJkDLQM+K2TQaKo/yB04fP36nUcZzMS1AFATi994hIO7fafy+2223t89VqtSJj+XG73QqnyArgDJNZpWFJYgCFUf7AqcL3wlLenOEyJfqFcnNycoJms6nMRQXvRdVzZ5rElVnByZAqIB+6KiDdrt8i4W/H8IMf/KDw8grlwHEcPP3008bOhCo0E7b7FxAFnjXSCiIhWbdOEIQi02w2ce+992Jvby/SqfCUeNBhqtfrYOaxFuNZlWzK3oBxpBVEQkT5C1VmOBxiZ2cHd955pzan5IVNg1PzWq0Wms3mxHwJ1fjUJHir9eCGMmkzMYl1DoCI/j0zP5SFMEVA5TnI5ilBQGRnV783HxxEdO3atdD3mD5Xpl697A0wR2sAiOg/Bw8BeCMRPRcAmPnXsxIsD3SbwUwmZAmCoCZJyabNRk3ZG2BOVAhoDcBtAHYA7J79//Ds3zPX6jHKczh37lxOkglCOdCFc+KWbHozN1TPZpAkJd1VIyoE9FMA/h2A1wL418z8dSK6ysy/n71o0yfKc8i6e6YglB3vWVGVTIdtUuz1euh2u6FhHc/zVxWrhD2zJiXdwilaA8DM3wewTkQXAXyAiLYww4njqCVq3ElZglAVHMcJDdfcuHEDRDTR+uHw8FAb1onqphvm1cveAHOMlDkz7wJ4FQAXwJ9lKlGOhC1RAWBhYQGA9LcXBBPClPbJyYlR359gWEcXt9d59e12G51OZ+TUbW9vSxVQCFFJ4BcC+HFm/t98qv3eC+C9RPSzAL7BzF+ZhpDTot1u4+DgYGJn797eXk4SCUK58HedjYtf6atW5f6pe2HE6e5bRaJWABsAvh9y3D373cyxv78/cezw8LBQ7R4Eoai0Wi1tLyDTz/BQJY6vXLmiVeS6gg7hWaIMwAVm/ovgQWbeAXAh6cmJ6LVE9JdE9GUienvSz0sDKRUThHikkWgNfkbYhjKTncNSCmpGVBXQec3vEpl5IqrjNKT0GgC3AHyOiP6Qmb+U5HOTIoleoeo0m00ws1UfKcdxsLy8jHa7rW3x7IV0vOfMWy24rqtM1gY3lJkgbaLNiDIAnyOiX2Hm/+o/SET/HMn3AbwcwJeZ+atnn/khAJcA5GoARPkLVWc4HAIwc4YajQbm5ubguu4ovKIbS6oa7Zg2UgpqRpQBWAdwnYj+GZ5V+EsAmgCuJDz3CwB8zffzLQB/P/giInoAwAPA6QCJrJGWD4Jwik75e1O9dnZ2QhOtaRKnsZuUgpoRtQ/g/wH4GSJ6JYAXnx3eYuZPpXDusI5SE3ccMz8C4BHgtBtoCufV4t3UgiCoue2220KfE13YKE51UJJqnjiho6oRVQZ6HsCbAbwQQB/Ao8x8lNK5bwG4y/fznQC+kdJnxyasCkgQhHGimsKFYTqZzu/xh4WhpLFbekSFgH4fp71/Pg1gGaetIdZTOvfnACwQ0d0Avg7g9QD+aUqfbY0MdBeEcNIqjDD5jKDHb9MCQrAnygC8iJnbAEBEjwL487ROzMxHRPRrAP4YQB3A+5j58bQ+34ayTPsShDywVf6qJLBJBU5U6webzxKiiTIAo2/iTGGnenJm/hiAj6X6oYZELTMFQbBnaWkJ8/PzoQ7VcDhEv9/Xhm5MPHup5kmPqI1gi0T01Nl/3wdwr/dvInpqGgJmQXBikCh/QbCj0WhgaWlpbNev4ziYn58fbd4K7gh2XTdyMpfKs/ecT9ONYIIZUVVA9WkJMk1Ml5mCIEzib+/s75PlKXjgtAJne3t7IhQUlcBV1e+L0s+GmW3trEMSSIKQnKh+O3HaMcRt/SDEw3om8Cyg6zAo4SBB0OP191eNRx0MBuj3+7HbMUj9/vSo5ApA1WHw4sWLofMABEEYJ2o29s2bN7GwsBBrBKQwPSq5AlBtE5fcgCCkg9dC3XGcUa+gIrdjiNNuYhaopAEAwpeZui6GgiDY47ouarUaHMcZTeYCijWUpcrDYyoZAlKRdJCFIAiTnJycjKqBBoMBNjc3CzWescrDY8QACIIwVY6Pj9Hr9fIWY0SVh8dUNgQURtJZpoIgmJHkWUs7Xl/l4TGVNwDSEkIQykMW8foqD4+ptAEw7TwoCEK6BPNt/X4fvV5vtDLwj5j0o4vXxzUAVR4eU2kDIGWfgjB9arUa7rnnHmxsbGAwGMBxHDz99NNjDpjrutjc3AQw7tlnFa+v6uazyiaB+/1+JZI8glAkHMfBfffdh729vdHz57pu6Or7+Ph4ohJHFZevQrw+CyppALzQjyAI08V13bE5wlEEnTTVLv4qxOuzoJIhIAn9CEI5CHr2VY7XZ0ElDYCEfgSh+NTr9VDPvqrx+iyoZAhI4oWCUGyazSYuXbokij5jZn4FELZpJKzuVxCE+KS9h0ZKsqfDTK8AgqMf/ZtG/EMnBEFIRtoKuyq9ePJmplcAuk0j6+vro+Vlv9+XTqCCUDBUubqqtm7OgpleAZhuGmm327IaEISCEfZMqlb1ReouWiZmegVg0+RJ8gKCUCwWFhYARPfrStoKIopZXnHMtAGwafLkfaESChKEYrC3tzf6f1S/rqxKu2d9WMxMh4Da7fZYsrfVamF1dVX5xbXbbSwtLU1TREEQFHhjJU1W5VmFcGd9WMxMrwAA+00jKysrAIDd3V0wM4gIFy9exP7+vmwgE4QC0mg0sLCwMGouZxqmMQntzPqwmJk3AHFYWVkZGQKPfr+PGzdu4OTkJCepqkWj0ZB8jKDEywW0Wi0sLCyMhYlMwjSmoZ1ZHxZTeQMwywmeMnN0dKR8+IRq02g0xkK5Gxsb2jBN2PNtOldg1ofFVNoA2CR4tre3xfufIsyMTqcjSfmUqNVqM3H/eoNkut0utre30el0tGGazc1NHB8fj372nm+bEnFgdpvPVdoA2EwXEk90uhARDg4O8hZjJqjVarh8+TKAZxVZGanX63jmmWdGhsxT6Lpwoaf8Pbzn2ya0M8vN52a6CigKmwTPrMT8ysLznvc87Ozs5C1G6Wm1Wrh8+fJIgQ2Hw5wlis/x8fHEKubw8BBHR0dWnzMYDGSuwBmVXgHIRrFx6vU6Ll26lHvYpVar4Tvf+U6uMpSdRqOBhx56aPRzMNw5S9j2IWq1WqmFdsqeQ8zFABDRuwGsAhgC+AqAX2Lm701bjjgbxa5fvz6znQqZuRBhl1mIVedJrVbD6urq2DHTIUhejN113VGFjU0JdK1WAxGNhV4ajQYWFxfHKnXywv98Jw3tzMImsbxWAJ8A8A5mPiKi/wjgHQB+c9pC2HoBs75b+OTkRMIuJcdxHNxzzz3Y3t5Gt9sd3dNRCtxxHDz44IPK34etIDzF7hkI71xA+DM1Pz8/dnxhYWGq91vw+U7qvdvkEItKLgaAmT/u+/EzAH4xDzkAey+g3W6j1+vBdd0MpRKEeHgzdz08r9RxHOU922g0sLy8rP3cuM5S8Fjw+OOPP575s9RqtbC+vj52LA3vfRY2iRUhB/DLAP6H6pdE9ACABwBgfn4+0YnSitctLy/PbDx1GsxKSWJZODw8BBGF/s5xHCwvLxs9B34F7j1L/lVG3GcpakXtbfqKM3QmOFbSrwOC2Hrvs7BJLLMqICL6JBF9MeS/S77XvBPAEYAPqj6HmR9h5iVmXrr99ttjy5NmG9lgj6EyoFIApjQaDTSbzVRkEeU/fVTVP3G+062tLXS73dSeJS/vEEaj0cCVK1dw9epVXLlyZaJyR0ej0RgbKxnUAWHYeO+zUElEeSU0iehNAN4MoMPMPzB5z9LSEseNGXp9QoKELQ9tuHbtWuz3lgXPS5zV3IdwSjDpG+bZ64YnxX2WVBVKYasTnQfvlyNsRaLSAUFsVkVlqQIiol1mnuh0mVcV0GtxmvT9OVPln5Ss4nVp9qxpNpu49957C9N4johw5cqVUiS/PU9MwnLxGQwGofkDYDwHoHt/HGzyC14YKo5DZyqf67rY3Nwck00nexEVvil55QB+F8A5AJ84C018hpnfnOUJs4rXra6upqYYi6T8gdOyUP/NrUsk5s3i4uJYlYlwSlIH5fDw0KjtApDsWbJVpHF69Nj0ljo+Ptb2EpoVctkJzMwvZOa7mPklZ/9lqvyBbON1uhimDTs7O1NTXo7jGMVTNzY2RrHdqEqRPNnd3QUArK+vY21tLWdpssUmn2O7S1aFv5pIxTRj37azPoBwHaDD+5tnefxkEaqApkIWTZ3KvLvSU+ZRHnMwDFDUMBAzo9vt4uDgAPv7+5meq9Vq4amnnpr6hkD/PWt676Up4+HhIebm5lCv1yd67CwtLU3dM45Twg08e89HVRURUenr/KOojAEA0o/Xme6uLCLeddDFUz38N30aLZpbrRZc182kL800NhYNh8NYirXRaICIRn93o9HA0dFRpBLy52E8TJVZnNJJHa7rolYbDxzUarXEJdrTIqgDVHM+woych839n0aSOMtEc6Wbwano9/vY2NjAtWvXxkIgQcoaayaisb/JZGns/a22y2g/9Xoda2trWF9fR71eV8oGFLuWOm4e5PDwEMPhEI7jjEaPRinnYB7GT7vdxvr6urZEUvf5jUbDegQqEU0oy5OTk9KOSGy327h8+fJYaMtxHFy6dEl5D5rem2mUnqdZvh5GpVYAJtjsELT1htP2xuLihUt6vd5YuVtUOOjhhx+G67pwHCfScw0S9FxUSpSZcfXqVQDmZXtlI7hbV0dQ2ai8QdPv0M/h4aFVuEyXUC7z96SLDCQZBpNGq4is203ICiCAzRDoMG+4Xq9PLJGBU6/i/Pnz6QqbENd1R96E503qEqie0nZd19qQBZetqkSm//htt91mdY4o4q5c8iKobKK8Qe87tClKGAwGytc3Go2JJGtSr7hMxEk0+0mj9DzrdhOyAghgc8FViWX/Mc/rbzabqXpJa2trqZQ8Br2JrBK9vV5v7MFRGRDveL/fx5NPPqn8PCLChQsXtK/x43033jXzd70sEv5Zt0GjaeIN9vt9q7/JO49/chZw6siolN0sj0gMkiRvmEbpedbtJsQABLC94KbLR52i9kIqpgllr+IiLUU9GAxw7dq1kTKIm+jV9fhxXRdbW1tYWVkBEH2do2LKzIxbt25haWkpMpziKSjVd1WUUFNw1m0QnXPi/Q02JaL+6wKYb8QyfW3VSWOecNYzicUABEjrgptWCHnJUNNe7f6YfdpD072QQtze7ffdd5+2u+POzg7m5+fRbrcjr7PJ3+XFsHXXwT9D1pvlEFRanU5HWQny0pe+NLPNeUtLS9q2C0F0f6d33DQ0Fzyfjadb9t2vQbKqsknDWGZtcHPrBRSHJL2AbEjjhtD1CErS3dBvBLLahxAWLhkOh8qyuOD7dCsT/1Z9/3X2rkWc0Mza2pqyV32UIfOH7fxtvlV9aNK83l6yW4f/GjmOMzYTNw5Rq4yqoZpzMGvXSNULSAxAioQptCyo1+toNpujihwg/Vi2P8dgMxnq6tWro2ohHX7Fm0SpegYlzGib5ki8UZi2zb+Ssra2pj1nmHLyf/e2K8AoZ6Ysjc3SJKsmkUWjUM3gZpGtra2xWHSWhvX4+HisIqfRaKTap8dxnIn8xd7e3sgr0j00gFmP98FgYJXDCFuFRI33M/384+PjiSS1iqhmZDZElfKFhRGPj4/x9NNPj342+d6jpn0BszHeMA6zMNQlCWIAYhJcmudZTaLbom+Lqqumv9okKn7fbrdxcHCQ6q7cBx980NpDtfGQbb8/089NUjuv+r3nXAwGg1HZsSosZDLtC5iN8YZxmIWhLkmQfQAxCNZjF6GU0HVdXLp0KVZjOn+d8+LiovLv8f5ek/rolZUVrK2tpfIgeZ/h3/nqhXhUu7X7/X4mrSaCMulwHCdR7bzJOY6Pj3Hu3Dnt997tdrU72oHqesKzMNQlCbICMCDoeQ6Hw8L1AGq1WrHCE47jjCVlvWW/6hweJpUg/tfEDZmEPYxh4Qr/zuY4qw9bwxm2CvIIW53EqSzTncOPlw8IM9ymIZ2yesJJ8xZVL2sVA6Ch3+9PDIBP6hFFzcONm9T1asGjerYHZfGHB3Slq3G8omCYTBeiCqsCUj2MKjm9QR62YbDgdTBBpzjC5uWurq5aKxnThm+moS5VSEe1Wiq6J5xW3mLWylptEAOgIKsSy5OTE2XOwF95EGfUpG1i9fLly2M3vk6J2JbFBa+f10Wy2WxOKBvbsjudnCalqn5lmsTj8ysOv9IPynrz5k2srq7GqioJnkO1kjCtTAq+xmYcY9Goat4iTcQAKLBt9Vyr1XDu3LmR5zocDpVefFSMHUh/k1cQL2QUPKYKA9g+UGHXzzN+999/f6Ild9xrY1vaZxpeiHIW0lJKUeEKE4clGNJR3efNZrPwSrSqeYs0EQOgIOomchxn1N/HXyfvKfc77rhD2adGt5T3MI3/xkG1tE9z27nu4Uy65I57bYKN1XTK3Sa8YOIspKWUVNfOO6ZbAYZ9l2VWomXNWxSJyhqAKAWg8zK90jrV0nwwGGgfIGaeKA8Mezjn5uYy2+Ubt8+LqVesun5pjM/0zhfMz+hoNBra7yts+LlpeMFEWdr06IlLu91WhoKIKDTMVmYlmnWfnCpQSQNgogBUXmZYbNQ2XBTcqRpUpMFNZWkRtfMU0CfEbLxiVX+d4XA4aj+dBE9Ok13HwPi+BhPlbuMZm4SkprHjXpfMVeVYyqxEq17BkwaVNAAmCsDWG7ZB15my3+8bKf+7774bt27dMjY8juMkfjBsvOJ2ux3qoR8fH1vHw3WrjuXlZevYt4lyt/GMTUJS3hS2rJRT3GRu2ZVolSt40qCSBsDUu7Pxhk3xhyLCiGqDHCw3NKn6Md0NGoVtvNgk2R1F1KojqMDCGqYFPVoT5W7jGQdlCIOZM22tkCSZK0q0ulTSAKQR94w7ED5JsjBYxdJut0ctjlWoYr9xsL1uWV3nsNWaTZ7CRLnbesbBcs2w7yXLEsW4ydwqNoATnqWSBiCNuGfcKgmT7f+qz+50OhMPbJKh4rbYXjeT10cpoDiKLcqjNVXucT3jdls9rCer6po4xraqDeCEZ6mkAUgj7hmnFj3J9v+lpaWJFgcm52+1Wql5eXG8Yt3rTRRQVlUqaYU9VNd22tU1cZwa2UglVNIAAMkVgG0tumkoRqU0AfP2xh6NRgMLCwuhfXMODg5G4xltsL1uumS3SZikyFUqOgMWVgVVq9UykzuOU1PmPQBCOlTWACTFJPHnYdvqIExpbmxsaN+janGgylX4xzNOG09xqsJX/utZ5CoVnQfd6XQmav+z3gtga5zLvAdASAcxAAnwHjhdNU5aSVib5LAf3aohr6V+VAI9qICKWqWi86C3t7cn+hLFKYE1JU6Yr8irK2E6iAFIgXY7fABKmrNFo5LDcd6X11Jfd96sFVCaVS86D3qa1zxuMrfIqythOogBSImVlRXMz89n9jDpksO6c+iGtGe11I/bZiPNklWVXGlWveg8aFVoMItrniSZW9TVlTAdxACkSJYPU1xvTbc6ycLTjttmI83Vkoq0q16ivpNphVeKtsITyoMYgBIR18CkuTqJ8u7TarORBVkoStV3Ms2/UZK5QlxyNQBE9DYA7wZwOzN/J09Zik4ao++SKh8T7z6NNhtZMW1FOa2/UZK5QlxyMwBEdBeA1wA4yEuGIhKm6AEUYsemiXdfZG90VhWlJHOFuOS5AvgdAA8C2MxRhkKh8rDD5gLoYtdZ9Xcx8e6LrGRnWVFKMleIQy4GgIheB+DrzLwXtTmGiB4A8AAAzM/PT0G6/FB52Kqa+TCFnGV/FxPvvuhKVhSlIDxLZgaAiD4J4I6QX70TwEMAfsHkc5j5EQCPAMDS0lL2UzVyxDYZGRZWybK/i6l3X3YlKx0yhaqQmQFg5leHHSeiNoC7AXje/50APk9EL2fmv8lKnjKgG6N4dHRkFFbJsiSw6N59GkiHTKFKTD0ExMx9AD/m/UxEfwVgSaqA1B62N8wlySzetJKwZffuo5AOmUKVkH0ABSLKwzZRQEVOwpYB2VQlVIncDQAzX8hbhryJE3NWvacKYZosKXIZqyCkTe4GoOrEiTmbzMkVhR8PWUEJVaKWtwBVRxdzTvM9ghntdhurq6sjj7/VamXeo0gQ8kJWADkTJ+YscepskRWUUBXEAORMnJjzrMWppe5eEPJBQkA50+l00Gg0xo5FxZzjvKeoePkMz6B5+Yx+v5+zZIIw+4gByJk4MedZilNLPkMQ8kNCQAUgTsx5VuLUks8QhPyQFYCQK6q8RVnzGYJQJsQACLkyS/kMQSgbEgISckV2LgtCfogBEHJnVvIZglA2JAQkCIJQUcQACIIgVBQxAIIgCBVFDIAgCEJFEQMgCIJQUYi5PHPWiejbAP4awPMBlGWEZJlkBUTeLCmTrEC55C2TrMD05f3bzHx78GCpDIAHEe0w81LecphQJlkBkTdLyiQrUC55yyQrUBx5JQQkCIJQUcQACIIgVJSyGoBH8hbAgjLJCoi8WVImWYFyyVsmWYGCyFvKHIAgCIKQnLKuAARBEISEiAEQBEGoKKU2AET0FiL6SyJ6nIgezlueKIjobUTERPT8vGXRQUTvJqL/Q0R/QUTXiehH8pYpCBG99uy7/zIRvT1veXQQ0V1E9L+I6Imze/WtecsUBRHViegxIvpo3rJEQUQ/QkQfObtnnyCif5C3TCqI6F+e3QNfJKL/TkTn85SntAaAiF4J4BKAe5n5HgD/KWeRtBDRXQBeA+Agb1kM+ASAFzPzvQD+L4B35CzPGERUB/BeAMsAXgTgnxDRi/KVSssRgN9g5p8C8NMA/kXB5QWAtwJ4Im8hDHkPgD9i5r8HYBEFlZuIXgDg1wEsMfOLAdQBvD5PmUprAAD8KoD/wMzPAAAzfytneaL4HQAPAih81p2ZP87MR2c/fgbAnXnKE8LLAXyZmb/KzEMAH8KpM1BImPmbzPz5s39/H6cK6gX5SqWGiO4EsALg9/KWJQoi+mEA/xDAowDAzENm/l6uQumZA+AQ0RyA5wD4Rp7ClNkA/CSAnyWizxLRnxLRy/IWSAURvQ7A15l5L29ZYvDLAHp5CxHgBQC+5vv5FgqsUP0Q0QUALwXw2ZxF0bGBU2flJGc5TPgJAN8G8N/OQla/R0R/K2+hwmDmr+M0UnEA4JsABsz88TxlKvREMCL6JIA7Qn71TpzK/qM4XVK/DMD/JKKf4JzqWiNkfQjAL0xXIj06eZl58+w178Rp+OKD05TNAAo5VviVFRE9F8AfAFhn5qfylicMIrofwLeYeZeIfj5ncUyYA3AfgLcw82eJ6D0A3g7g3+Qr1iRE9KM4XaneDeB7AD5MRG9g5g/kJVOhDQAzv1r1OyL6VQDdM4X/50R0gtMGS9+elnx+VLISURunX/geEQGn4ZTPE9HLmflvpijiGLprCwBE9CYA9wPo5GVUNdwCcJfv5zuR81I6CiJq4FT5f5CZu3nLo+EVAF5HRP8YwHkAP0xEH2DmN+Qsl4pbAG4xs7ei+ghODUAReTWAJ5n52wBARF0APwMgNwNQ5hDQDQCvAgAi+kkATRSwGyAz95n5x5j5AjNfwOkNe1+eyj8KInotgN8E8Dpm/kHe8oTwOQALRHQ3ETVxmkj7w5xlUkKnlv9RAE8w82/nLY8OZn4HM995dq++HsCnCqz8cfYcfY2I/u7ZoQ6AL+Uoko4DAD9NRM85uyc6yDlhXegVQATvA/A+IvoigCGANxXQUy0rvwvgHIBPnK1aPsPMb85XpGdh5iMi+jUAf4zTSor3MfPjOYul4xUA3gigT0RfODv2EDN/LD+RZoq3APjgmTPwVQC/lLM8oZyFqD4C4PM4Da0+hpxbQkgrCEEQhIpS5hCQIAiCkAAxAIIgCBVFDIAgCEJFEQMgCIJQUcQACIIgVBQxAIJgABEdE9EXzro4fpiInnN2/A4i+hARfYWIvkREHzvblwIi+iMi+l4ZOmoK1UQMgCCY4TLzS866OA4BvPlsM891AH/CzH+HmV+E07YfP372nnfjtP5fEAqJGABBsOfTAF4I4JUADpn5v3i/YOYvMPOnz/69DeD7+YgoCNGIARAEC87a+C4D6AN4MYDdfCUShPiIARAEM5yzNg47OO3p8mi+4ghCcsrcC0gQponLzC/xHyCixwH8Yj7iCEJyZAUgCPH5FIBzRPQr3gEiehkR/VyOMgmCMWIABCEmZ91nrwB4zVkZ6OMA/i3OZhMQ0acBfBhAh4huEdE/yk1YQQhBuoEKgiBUFFkBCIIgVBQxAIIgCBVFDIAgCEJFEQMgCIJQUcQACIIgVBQxAIIgCBVFDIAgCEJF+f8RdKrmYZqQ9gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC4\"], c=\"grey\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC4\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "2d328405", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC5\"], c=\"grey\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC5\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "443dbaa3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC6\"], c=\"grey\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC6\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "03551e5e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jVgf/LJagWPfh4eEwdJDGlppeqtVqoZW/dwvCoLk2KysrWF9fH35epawXFhaU+1kHETbHqdFojNyflUpFqmqmDKMeABFVcaT838fMuc4ezszMpJoHSLOaKAhV0s8/WsANzSTxAnRjyK4C8nse3o1UklDUqqOgkt6w33Jrawuzs7PDHEtYhY9bFBCnAijMEwSARx555Nhns27AEyaPySogAvAQgMeY+fdMyRFFnOYd0/ibxQAEdtKGzdBJUumhGz4gomE9eVC1RtqhobxgWdaIcQvz/FTf3w3hhOVu5ubmQn/DqNyOez3cxcHKykpgWajryUmlzfRg0gN4MYBfBeAQ0RcGr72FmT9qTqRRsm7eSRNvs1jSgWlx56foxpCZGdevXx/2Uvi9jWntIwjybNxyTf9vrPotvR6Uf7/qg4OD0GubtDEwbLU/jUa6zJisAvorAGTq/Cp05rXkFXcFP47hivO95+bmtDt9Dw4Ojo128A/EA9RTWKeJoO+o6uIFgAceeABnz57FrVu3hgqamUOVdZymPt37RZLA00UuqoBM469i6fV6uar7j4O7gh9HicZ5yHd3dxOfx9+w5jUEaU7kzCP1ej2w4kdV1cXMePzxx7XPMe7kVT8yWmH6MF4FZJqgKpaiKn+XcZS/7kPuHVk9DmENa+fPnx/ruHmmUqlgbm4ucCcrYHTb0KTEMeRRn1U1kwnFhYq0ymo0Gpz2RMhpTD6q5rqoPq8TL9adiWRZFvb397XDUEHnfs973hNrxVsUZmZmcPLkycwrwdwEtO51VeVgks6I8h5ft+ekiPsS5B0iusHMDf/rpQ8B6Sr/er2OXq+X+UM7LtVqVal0/e9Xq9VjKzv/Vov+8dc6idpqtYpWqwXgeLmn6rfz5wQcx8GtW7f0vnTBODw8nMh9FJZv8eMqXNV1HWeRFGdgoeqzgAx7S5vSGwCdKha3zM7kPHoV/hW8qhbc+36Ugvc/qDqJQv8xvQ9o1ERMd9jdxsbG8N9COuhuQBTGOMnfOPsTqIYbej3KIgynKwKlNwBR5YdEhPn5edy8eXPCkulz8eJFABjWcLtdxt5chhvbV01MjHpQowwlESlXZa1WS2uqat69rKISdP10jPq4yd84k2dVww39yJaP41P6JLBt21hYWAhMvFWrVVy8eBE7Ozu5TQy7cvsT2cw8fM87bkBF1IMatQpkZjz88MOhU0ht20atVlMeQ8iOoOsXZdR175245w17Pa6nMW35u0lTWg/An2jyx6y9oYy8z7jf2NgYWcUdHh6iVqvh8uXL2seJ2khEJwx2eHiIlZUVrKysBMZpZXVvhrBVvCoE6oY+Xc/Sez3jJGrjTJ4Nuseq1SpOnDgReO9IX8J4lNIAhMW6FxYWRiodVDP180BUYtVL1EMb9aDGrfl3Nzd3q4bSKm8UoqlWq7jjjjsiFbQqBNrv9wNHhezt7Y2MFFHF43UnzzqOg+3t7ZG/n5+fx+zsrGz5mAGlNAC6Samo2et5x90iENCrxIh6UJO4296KF1n9TwZ/ZZeKuDu59fv94RgK/+uqeLzObl1h+Yjd3V202+3hZ6QKKD1KaQB0k1JFmgMUhPch1TV6qgc1qpRTyAf9fh+rq6uhYTg/qimiQWQ1J0hnDlIchS/9BNGU0gDobppd9AST9/sk3QO4yHORikCtVsP+/j4ODw9TPa6rpHXLJeMM4wtrNBw3Hh93M3sVcXoPykwpDYBuUiqvO4Hp4P8+SR6uIo3CLiq9Xg8zMzND72pmZiZ1Y6BTLulOGY1K8lerVZw5c2akQzsqHq+zGo+7TanqmHF6D7L0FPLuhZTSAOgmpYo6ojgoBhz1cAXdqEUPgRUFN09CRKkrf5dOp4Pl5WVlFU9QAtaLZVm4++67QxO1qtEO/tV4UKVYnG1Ko1b4uh5vlp5CEbyQUhoAQC+eWNQRxUFKW/Vwhd2oZVD+T3va0/Dkk0+aFgNA9jtuuYr35s2buHXrVqzrfe7cOdxzzz1YXV0NlHNnZ2eYqPWjWkgEjQXXUY5RK/ywfJXf4406zjgr+DheiClKawCC8F5s3fEKeSXoJgt7uMJu1LhD5SqVCpg5s1VsFuRF+U+SoAF7UcZ+b28P3/jGN0Lvh263i/X19UAjEPXcJFGKqhW+4zi4ffv2yHtBexpHHWecFXzSvNskEQMwIGxHJPeiz8/P53YWUBCdTgdXr15V1lxHGTUd5e+fOAlAa1qoUCx0OuG9exd70cmlxVGKjuMoE9Gbm5uBixC3C90ddmhZVuRxxlnBp5XUzjKPIAZggMpN7ff72N3dLWQZZNCqJc3k7v7+/rENzh3Hwf7+/tjHFSaPf35UEoKUo04uLWyDHH9fjmpx4ea0wnoaut3uMTmSHkfXWMVNageRdR6h9LOAXHRWKK1WC9VqdUISpYc7TdElzeSuuyLK4tjCZElj3pWbbPZ20LvztlQrXzc/4d8gxz2OqwjDlDYRDQsfws5DRJH3ps5xdFfw/u+dZK6SygtJA/EABkS5qfV6PXbXZJ7wxmjTjkF6j5en+KZghqC9Hbwr+7m5Oezu7sbKDUQtLJh5+HyGrbx1FiY6x4mzgo/bvOYn6zyCUQ+AiN5NRN8lokdNygEcXeyZmeCfY2ZmBs1ms/CjIba2tuA4TuozeYgIjuPkfm6SMDlc5b2+vj6yst/e3kaz2dRaSXv/ToX3WGErb53z6RxnkhU843ohURjdEpKIfgHAkwDew8zPjfp8FltCegnbsEQ1jbBoZLWz2TT9RkL26DZZultRqrZu1Z19FGfzm7w0bAXJHGfWk0vYlpBGPQBm/ksA3zMpg5cw5dXv96dGsXU6nUy+yzT9RkL2uOGgKNxwS7PZDMy/xdms3l3Re4ckhsnmzT+YJGsvRJkDIKJ7AXycmX+UytkSQESXAFwCgNnZ2UzPVeTRD7q4N9K0f08h37irbNUOcY1GQ3tSrS7u56M8gTw1bI2bR1ARlQT+EwD/j4g2ALwfwMeYeaJbYzHzNQDXgKMQUJbnKuroB128Cayk3zONUkFhuojbMAhgqLzX1tYC76dqtTrSVJaWItTt8C/DIinKAHwZwC8C+BUAbwLwR0S0CuD9zPwXWQs3afw3RpIbO68ErZiSdDfXajUJ9QjHYOZYQ+y8K3tV702WeI1JWH6hDLuNReUAmJn/LzP/D2ZuApgH8CUAbyeib2YvnlmmRfl7N4R3sW0bS0tLWFxcjNXbIMpfCEJH+VuWBcuysLW1NdIrYJKgCkC38m/aifIAjmVLmPlvAPw+gN8nop8a9+RE9H4ALwFwFxHdAnCFmR8a97hJmdbxx/1+HysrK9jc3DxWg+16BQsLC4WbdSQUC8uysL+/P9LRWqvV0Ov1Aj8/SfyJ4ahE8bSgLAMlopcw86cnJ46arMtAVaVm04pbUgYUs8FNKDaWZaHX6x3LA1QqFVy4cCHzBGzUPCy3BFX3GHkqH/UTVgYa5QHcIqIXM/P/9h3s5wF8m5m/lqaQkyTowpVN+QNPjYmQ+T2CCbrdLhYXFxMr0aQKWMfb19ktL+/z/qOIMgDLAN4S8Hp38N5CyvJMhLALV8Rhb2lQxu8sTI6ZmRmcPHky8D5zQy1RK+0gxlHAOjOr3CRwmJEpwrz/KKIMwFlm/qL/RWbeIqKz2YiUPWEX7sSJE9ozQwRB0CfMw2Rm5dygoImgqio9XQUctbp3CydURqYI8/6jiDIApxTvTTZLkyJhF8jvjgqCMD6Hh4fKKqF+v4/V1dWRkEzQULmgPTv86I6YUMX+XcOzvLwcuspPcxN7U0SVgX6eiH7D/yIR/RsAN7IRKXtUA5Zs2y5F+Zcg5AlmDvS8vaOPdUeNu8MJVQSNlqhWq1hcXMTS0tLQg1Ct8sOOUST9EeUBLAFYJaJ/jacUfgNADcDFDOXKFNWY16JP/BSEacPdnlHXK2dmrKysYGNjA61WKzAcpDtaQrXKT2s8hUm0poES0UsBuNM6d5j5U5lKFUKaZaBhscYyloIKQt5JOm02yeRML2lN4zRNojJQIjoF4HUAngXAAfAQM09FvWDYXBFR/oKQP8KKNKKKNsatypmGVb6KqBDQHwPoA/gMgBaAZ+MoLDR1uB6BIAj5JKxnIKqBcdxFXZbTOE0TZQCew8w2ABDRQwD+OnuRJs+0joAQhLwTp/fGjbv7lbFqo3j3HEIwUVVAQ404LaGfIGQjc0GYPESEVqsVuhWrF1V1je4xhFGiPIB5IvrB4P8JgDX4N+FoUuidmUo3ISTuLwiTx63WicJdwbsDDYMm27rvByGd7uEozSYzV5j5zsF/f4+ZT3j+fyqUv+M4pZn8JwhFo9FoYH9/f6jEk2zXWKTGrElTar/Jjf1Py9x/QZg2tra2QjtxvWxsbIQeo0iNWZMmKgQ01UjsXxCKiRu2dRwnMgk8rRU8aVBaAxCns1AQhHxRr9e1qvck/KOmlCEgGfcgCMXFrQjS8eAl/KOmlAZAQj+CUFzm5+dh23akB29ZloR/IihlCEh14wTNGBcEIT/s7Oxgd3dX+ZlqtYpWqzUhiYqLUQ+AiF5BRF8hoq8S0ZsndV7VOOiLFy+iVqtNShRBEGLS7XaVizjLsgo3rM0UxjwAIqoAeBeAlwO4haO9B/6Mmb+U9blV46DdVvP19XVkuQG9IAjpMm2D2iaBSQ/ghQC+ysxfZ+YegA8AuDCJE9u2jYWFhaEnUK/XR1YM7XZ7ZLMHQRAmAxGh0WigUqlo/413IxdBD5MG4BkAvun5963Ba8cgoktEtEVEW0888URqJ7dtG0tLS1hcXARw1Ea+vLw87DB0HAcHBwepnU8QBH2YGe12WzscK+WeyTCZBA6avzCSfWXmawCuAUcbwqQpgGrD583NTeU+poIgZIvjONpzfKTcMxkmPYBbAJ7p+fcZAN+epABB5aBum7k0iQlCNiwuLmqNaN7c3NT6nJR7JsekB/B5AHNEdA7AtwC8CsC/SvskYVs/AuoNnwVBSB9XWetsv9rpdCINgJR7jocxD2Cwv8BvAfgYgMcAfJCZd9I8hxvicW8y/yRBiRsKQroQkfK58ubVohZa9XpdGQIKKt4Q4mG0EYyZPwrgo1kdXxXisW07sBxUEITkMLNSsfd6veH/1+v10M96xz0EfaZer2NpaSlSHlUEQJjyURBRIZ6gclBBEMZDJ27vOM4xY+D/e3dl32w2R8qxVbuD+c+higAIUz4KImyF4VX0/j1Go+KSgiCEE6X8LcsKneJpWRZarVbgbl9JVvFREQBhyg2AquM3zt8IgqBHVNlmq9UKHcZYq9UCFXPQRvA6SJFHNFNtAJKsHtz3ojaZEAQhPqoS67QVs04EoOxMtQEAkq0e3L/xJpAEQRgf1bOUtmJOEgEoG1OdBB4Xd1yErBgEIVtmZmZSV8w6M7/KztR7AGkgeQFByJaTJ09mopiT5g/KghgADfy5BNk0RigzWdz/km8zgxgATbwriQcffFBuWKG0nDhxAgcHB6kOS5QwqxnEACRAlL9QZtIOhUpi1hxiAGLgVgUJghBMtVodJlrDmioty0KtVpPxDDlADIAmskWkIKjxK/OwMkx/t69gDjEAGjiOI8pfECLwD2cbZ4yDMBnEAGggYR9BUBOWxJUyzHwjjWAaSCewIKiRJG4xEQOggZSoCYIaWeUXEzEAGsjqRphmGo0Grly5AiJK9PdJ/04wjxgADWzbRqPRGHndv1GFIBSRdrsNAIm7e6UrvriIAdCk3W5jcXHx2GCp+fl5w1IJwngQ0XCHrKiVfNj7EiItLlIFFIOg3cMEocgwM9bW1gAA58+fV5Y7nz9/Htvb2zJeeYow4gEQ0b8goh0iOiSi0dhKQZDqIGEacLdJbLfbOHfuXOBnGo0G2u22jFeeMkx5AI8CWATw3w2dPxVkKqgwLXQ6HTiOg9e85jXHNkLyN29JXf90YcQAMPNjQPGrB0T5C0XAsiytAYYrKyvY2NhAq9Ua6eoVppPcJ4GJ6BIRbRHR1hNPPGFanGNI8ksoAr1eT/uz3W4Xa2trw8SwMN1kZgCI6JNE9GjAfxfiHIeZrzFzg5kbp0+fzkrcRDSbTSkFFXLPwcFBrM+7OQFh+sksBMTML8vq2HlBdgoTphUpcCgHpSoDVSW3kuJNil29ejUNMQXBOBLeLAemykAvEtEtAD8HYJ2IPpb1OR3Hwdra2nBl0+l0Uo91ykMjZAkRodFoYGYm28dWavvLgxEDwMyrzHyGmU8y808y8y9lfc7Nzc2RrezSjnVKTkDImna7jfvuuw+WZWV2jvn5eSn1LAm5rwJKi7CYZpqxTtu2sbCwkOnDKZQXZobjOLBtG5cvX1Z6nPV6HY1GI9GCZGdnZxwxhQJRGgMQ9rCkHbaxbRu1Wi3VY8alWq0WvsdCCMYbtlQtXpaWloadu3EXJN1uV8pAS0JpDEBQeCarWKfpCop+vy/VSFOKN2ypUuzLy8vHvAX/IEPvv4OQMtByUJoqoEnuT6rbeSkISXDHNty+fVv5GXfIm1upFnSvr6yshP69MP2UxgAA+ZhjUq/X0ev1xEAIianX69jY2MDh4aHyc663EHbP27aNjY2NwHtRKtrKQWlCQJNEpdw7nQ5+9KMfTVAaYZpww5a6C4iolXyr1ZpYaFTIH2IAMiBq9eSPz1uWhbvuuitLkYQpgIhij1+OuhfdyjUZ8VxOShUCmhTNZjM0thpErVbD61//eqyvr+PGjRuSwBUCOXXqVCzFrLuSz0NoVDCDeAAZEPdh6nQ6WF5exuzsLN72trdJ/LUkLC4uxqrT94Z9oko7k3gLQvkQA5ARcZW4dzRFmSowqtUqKpWKaTEmDhEFdqer8Cr9Vqul/Cwzi/IXIhEDkBFJkmhu1ca4HoBlWWg0irHTZr/fx8HBQeka15h5LENv27byGosXKeggBiAjbNtONBKi0+mMNVOoUqmg1Wphd3c30d+bomx5j3q9Htvo+St/2u12oBHQif07joPl5WVcvXp12DQmlA8xABkSVmKn6sKs1+uwbRvz8/OxFUStVsOFCxdg23apwkhFw1XQcY1e0D3TbrdHunyjYv+TmIwrFAOpAsqQqO7jtbW1kRjw3NwcHMfB9vZ2bAXR6/Wwt7cH27ZRr9cDjUDY68LkcA17nGuhWtXHreJRTcaVvEG5EAOQMWEPp23b2Nvbw9bW1rHXt7e3sb29HSs56OXGjRtot9toNpsjBsZVIq5BEszQ6/WwtraG+fn5kWtdqVTAzCNdvmmOaJ7EZFyhGEgIyCBBcfp+v59Y+QNPxdJVDT5R8WHZ0yB7+v0+dnd3R65RrVYLHPGQZk5nUpNxhfwjHoBBslhxefMGKu8jbAYMcLSJ+OLiYqxmNh0qlUqsDcqr1Srm5+dHvKRpodPpYGVlZTid07bt0G1F07xXVN6hUC7EABgki3j8+fPntT539913hyrWw8PDYTlqWvKdO3cO3/ve92Idb39/v9Cbk9RqNezv70cObfNO7lTlbtLa03qSk3GFfENFKr9rNBo8TatBtxpjnJCPCxHh/PnzaLfbqZ1XxwtwV+k7OzvKAWXVajWV7znNuIo4aHUelC+oVqvS7StoQUQ3mHmkZlg8AIOEJYL9RCnPK1euxDqvTgeqW46qks+7ctzd3VUagH6/DyIqXb2/ixuaU33/TqcTujqXyh0hC4wYACJ6B4AFAD0AXwPwa8z8fROymCYquefOdAmr3EnabKZiZmZmGA9ut9uYnZ2NDBfohHaYGTMzM5EhkWlEx/C5Sdig3I1s3CJkgSkP4BMA7mfmfSL6XQD3A/htQ7IYRfUA+13869evjyRRb9++Pdz6TxfVjmWWZaHVah07Xlgy2RuT1j1vq9VSJqDLSlQSVpUbEISkGCkDZeaPM/P+4J+fBXDGhBx5IOwB9k9zDNts3k3Y6qLaSjBI+auO4+0m1cXdo/bKlSulVF4zM6OPnGVZkbH8Se5pLZSHPOQAfh3An4S9SUSXAFwCgNnZ2UnJNDHCkn5BCiFs1RxHCW9uboaGYLrd7rF9ZF2Cqk82NjZiJ3X98k9b+MJN1j7yyCOhv/Hh4eHQA4tTfSOVO0IWZGYAiOiTAJ4e8NZbmfn64DNvBbAP4H1hx2HmawCuAUdVQBmIapQ4D3ZYEjXOzKAopetPLPorhjqdDh5++OFEcXzvit9xHONJYSLCqVOnUglHea/b7OyssnqqVqvh8uXLsc8hG7cIaZOZAWDml6neJ6LXAnglgCaXtTRkgO6DHfYzxfn5dGr7ve8HVZ8kUf7ecIVrVILkDhuFkAXMjF6vN1ZiulKpDAfwudi2rTQA0+b5CMXFSA6AiF6Bo6Tvvcz8dyZkKCJptPDrjJr2Hi8NZUVEx2bZhJWhEhEuXLiA++67byiDZVmJNoypVqtoNBqR3/Xg4CCxF2JZ1ojy974XRhlzH0I+MZUD+AMAJwF8YhC++Cwzv86QLIUhjRZ+f8jJj/94aXQDMzO2t7cxOzurHFXtnWPkz0Gsrq6GKup6vY65uTns7u6OhNFmZ2cjq46SGADLspRhnLBOayKSxK2QG4wYAGZ+lonzFp20EoFeBRs1XiDI6CQJmXhzCyqjEtTYFNaQptMJ637XKCMSl6i8QdE25BHKSR6qgIQYpJ0I9BsVt6TUW37qfd81EkEKuVKpoFarRVYrNZtNrcamqD4D3RHJ7nHSTDVFhXFUXk5QpZUgmEAMQMkJqvLxK6ggo+OGV4K8h+XlZWXTkmoaqfsZnXlFQatsv0czNzcXur/COFVIUWEc1bFlhIOQF8QAlJxxZsyEeSM6uYpWq6X8jM68Ir+RCTJmUXOMko68jvptogyLVAIJeUAMQMnJYnconVxF1Gd0zu8Pw+gYDZdOp4O9vT2tz0adN+wzqu8glUBCHhADUHLCFBUR4erVq6kkmpN8JkqBBlU/xTFalmVFTmF1xzZ4E966VVdBXlDcYwhC1ogBKDlhisoNYQTlBNImqBJJpUDDjJJuyarOlpfuXCQgedXViRMnhvK7OQEZ4SDkCdkQRjimgMOSl/V6HUtLS5mcO2wWEhBP+YYda35+fqRHQBX7j6rxH+c7ieIXTCAbwgiheEMxk9iT1osqCb20tBRLYcbpk1CVl7orfz9hPRP+13u9nmzeIhQCMQDCMSY9dz7tJLRun0RYiKnRaITufRBULnvz5k08/vjjWnJL5Y+QN4zMAhLyy6Tnzqcx3ygJtm1jYWFheJ56vY7FxcXQPZXDPBWv8o9CKn+EvCEegHCMSc+djzPfKGpsRVzidFWPu3qXyh8hj4gBEEaY5Nx5XYOj07GcJXGH4lWrVdxxxx2yeYuQa8QACMbRMTjjdCyngaosNYgTJ05kUjUlCGkiOQChEGTRsRyHoJxBozFSVTdENr0XioB4AEIhmHR1UhBBnsrOzo5yqJ0g5BnxAIRCMOnqJF1arVYu5RIEHcQDEArBpKuTii6XIOggoyAEQRCmnLBREBICEgRBKCliAARBEEqKEQNARP+ZiL5IRF8goo8T0T80IYcgCEKZMeUBvIOZn8fMzwfwEQBvMySHIAhCaTFiAJj5B55//hiA4mSiBUEQpgRjZaBE9DsAXgOgA+Clis9dAnBp8M8niegrAO4C8LeZC5kORZIVEHmzpEiyAsWSt0iyApOX96eCXsysDJSIPgng6QFvvZWZr3s+dz+AU8x8Jcaxt4JKmvJIkWQFRN4sKZKsQLHkLZKsQH7kzcwDYOaXaX70fwJYB6BtAARBEITxMVUFNOf5570AvmxCDkEQhDJjKgfwdiL6xwAOAXwDwOti/v219EXKjCLJCoi8WVIkWYFiyVskWYGcyFuoURCCIAhCekgnsCAIQkkRAyAIglBSCm0AiOgNRPQVItohogdNyxMFEf0HImIiusu0LCqI6B1E9OXBuI5VIvpx0zL5IaJXDK79V4nozablUUFEzySi/0VEjw3u1TealikKIqoQ0U0i+ohpWaIgoh8nog8P7tnHiOjnTMsUBhH9u8E98CgRvZ+ITpmUp7AGgIheCuACgOcx890A/othkZQQ0TMBvBzAnmlZNPgEgOcy8/MA/B8A9xuW5xhEVAHwLgAtAM8B8C+J6DlmpVKyD+BNzPxsAC8C8PqcywsAbwTwmGkhNHkngD9n5n8CYB45lZuIngHg3wJoMPNzAVQAvMqkTIU1AAB+E8Dbmfk2ADDzdw3LE8V/BXAZBRh7wcwfZ+b9wT8/C+CMSXkCeCGArzLz15m5B+ADOFoM5BJm/g4zPzL4/x/iSEE9w6xU4RDRGQBtAH9oWpYoiOhOAL8A4CEAYOYeM3/fqFBqTgCwiOgEgDsAfNukMEU2AD8D4OeJ6HNE9BdE9ALTAoVBRPcC+BYzb5uWJQG/DmDDtBA+ngHgm55/30KOFaoXIjoL4B4AnzMsioplHC1WDg3LocNPA3gCwB8NQlZ/SEQ/ZlqoIJj5WziKVOwB+A6ADjN/3KRMud4SUjVOAkey/wSOXOoXAPggEf00G6prjZD1LQD++WQlUqMzqoOI3oqj8MX7JimbBhTwWu49KyJ6GoA/BbDkG4iYG4jolQC+y8w3iOglhsXR4QSAnwXwBmb+HBG9E8CbAfxHs2KNQkQ/gSNP9RyA7wP4EBG9mpnfa0qmXBsA1TgJIvpNACsDhf/XRHSIowFLT0xKPi9hshKRjaMLvk1EwFE45REieiEz/80ERTxG1KgOInotgFcCaJoyqgpuAXim599nYNiVjoKIqjhS/u9j5hXT8ih4MYB7ieiXAZwCcCcRvZeZX21YrjBuAbjFzK5H9WEcGYA88jIAjzPzEwBARCsA/ikAYwagyCGghwH8IgAQ0c8AqCGH0wCZ2WHmv8/MZ5n5LI5u2J81qfyjIKJXAPhtAPcy89+ZlieAzwOYI6JzRFTDUSLtzwzLFAodWf6HADzGzL9nWh4VzHw/M58Z3KuvAvCpHCt/DJ6jbw4mCwBAE8CXDIqkYg/Ai4jojsE90YThhHWuPYAI3g3g3UT0KIAegNfmcKVaVP4AwEkAnxh4LZ9l5rjjOjKDmfeJ6LcAfAxHlRTvZuYdw2KpeDGAXwXgENEXBq+9hZk/ak6kqeINAN43WAx8HcCvGZYnkEGI6sMAHsFRaPUmDI+EkFEQgiAIJaXIISBBEARhDMQACIIglBQxAIIgCCVFDIAgCEJJEQMgCIJQUsQACIIGRHRARF8YTHH8EBHdMXj96UT0ASL6GhF9iYg+OuhLARH9ORF9vwgTNYVyIgZAEPToMvPzB1McewBeN2jmWQXwaWb+R8z8HByN/fjJwd+8A0f1/4KQS8QACEJ8PgPgWQBeCqDPzP/NfYOZv8DMnxn8/yaAH5oRURCiEQMgCDEYjPFtAXAAPBfADbMSCUJyxAAIgh7WYIzDFo5mujxkVhxBGJ8izwIShEnSZebne18goh0Av2JGHEEYH/EABCE5nwJwkoh+w32BiF5ARP/MoEyCoI0YAEFIyGD67EUALx+Uge4A+E8Y7E1ARJ8B8CEATSK6RUS/ZExYQQhApoEKgiCUFPEABEEQSooYAEEQhJIiBkAQBKGkiAEQBEEoKWIABEEQSooYAEEQhJIiBkAQBKGk/H/elovIKjF2JQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + "plt.scatter(X[\"PC1\"], X[\"PC7\"], c=\"grey\")\n", + "plt.xlabel(\"PC1\")\n", + "plt.ylabel(\"PC7\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "7c4218e3", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "wcss = []\n", + "m = range(1,11)\n", + "for i in m:\n", + " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n", + " kmeans.fit(df)\n", + " wcss.append(kmeans.inertia_)\n", + " \n", + "#Finnding the optimum no of clusters(K) using the elbow method" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "fee29a15", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(m,wcss,'bx-')\n", + "plt.plot(range(1,11),wcss)\n", + "plt.xlabel('PC')\n", + "plt.ylabel('Inertia')\n", + "plt.show()\n", + "\n", + "#The K is the reading on which the slope in the changes the most in the graph below " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "10a90699", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", "text/plain": [ "
" ] @@ -2007,16 +2393,18 @@ "K=3\n", "\n", "Centroids = (X.sample(n=K))\n", - "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n", + "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"green\")\n", "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"red\")\n", "plt.xlabel(\"PC1\")\n", "plt.ylabel(\"PC2\")\n", - "plt.show()" + "plt.show()\n", + "\n", + "#Now, knowing the number of clusers to make, we choose any three points to begin with clustering." ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 37, "id": "c31c0562", "metadata": {}, "outputs": [ @@ -2052,34 +2440,34 @@ " \n", " \n", " \n", - " 8239\n", - " 3.519588\n", - " 0.009550\n", - " -0.899722\n", - " -0.262448\n", - " -0.344736\n", - " -0.746993\n", - " -0.302528\n", + " 8344\n", + " 0.004075\n", + " 0.710479\n", + " -0.686984\n", + " 0.088837\n", + " 1.175964\n", + " -0.645059\n", + " -1.749788\n", " \n", " \n", - " 4574\n", - " -1.283289\n", - " 1.328061\n", - " -1.214582\n", - " 0.296131\n", - " 0.791599\n", - " -0.185390\n", - " 0.693766\n", + " 858\n", + " -1.569049\n", + " -1.283184\n", + " 0.734696\n", + " 0.874254\n", + " 0.267212\n", + " -0.767082\n", + " -0.706188\n", " \n", " \n", - " 962\n", - " -3.530038\n", - " 3.273485\n", - " -0.016077\n", - " -0.928594\n", - " 1.076281\n", - " 0.427601\n", - " 0.744917\n", + " 638\n", + " -2.727624\n", + " -2.009900\n", + " -0.530454\n", + " 0.218883\n", + " -0.604481\n", + " -0.439797\n", + " -0.038019\n", " \n", " \n", "\n", @@ -2087,12 +2475,12 @@ ], "text/plain": [ " PC1 PC2 PC3 PC4 PC5 PC6 PC7\n", - "8239 3.519588 0.009550 -0.899722 -0.262448 -0.344736 -0.746993 -0.302528\n", - "4574 -1.283289 1.328061 -1.214582 0.296131 0.791599 -0.185390 0.693766\n", - "962 -3.530038 3.273485 -0.016077 -0.928594 1.076281 0.427601 0.744917" + "8344 0.004075 0.710479 -0.686984 0.088837 1.175964 -0.645059 -1.749788\n", + "858 -1.569049 -1.283184 0.734696 0.874254 0.267212 -0.767082 -0.706188\n", + "638 -2.727624 -2.009900 -0.530454 0.218883 -0.604481 -0.439797 -0.038019" ] }, - "execution_count": 28, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -2103,7 +2491,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 38, "id": "3a075791", "metadata": {}, "outputs": [ @@ -2111,34 +2499,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "-0.26366230812265634\n", - "-0.19337913134972942\n", - "-0.14197080611975457\n", - "-0.06453755824852406\n", - "-0.05878885785551347\n", - "-0.05780211220499151\n", - "-0.0179690220297865\n", - "0.023894128342985134\n", - "0.08454793040308145\n", - "0.1821963167790512\n", - "0.29706424546753113\n", - "0.30400582764430895\n", - "0.34801202193686065\n", - "0.24710071785883056\n", - "0.16161438515347243\n", - "0.09417737380783646\n", - "0.09075640036164513\n", - "0.05509144657289297\n", - "0.03461525666878515\n", - "0.023653857517646416\n", - "0.022208317542203034\n", - "0.015166182445903858\n", - "0.006266589186780781\n", - "0.0055185446339633525\n", - "0.0059137446813050595\n", - "0.005043910213152583\n", - "0.0057546586269900425\n", - "0.0020179893491229124\n", + "0.5494874468727512\n", + "0.437088863278338\n", + "0.28684126761544426\n", + "0.20310583627067683\n", + "0.13786170453860305\n", + "0.09105133173193014\n", + "0.06396641378911866\n", + "0.038749549448989964\n", + "0.028357714177236516\n", + "0.02331850606585278\n", + "0.009126239122497232\n", + "0.003114576921872992\n", + "0.0020939760105042407\n", + "0.001263350097691969\n", "0.0\n" ] } @@ -2182,12 +2556,15 @@ " else:\n", " diff = (Centroids_new['PC1'] - Centroids['PC1']).sum() + (Centroids_new['PC2'] - Centroids['PC2']).sum() + (Centroids_new['PC3'] - Centroids['PC3']).sum() + (Centroids_new['PC4'] - Centroids['PC4']).sum() +(Centroids_new['PC5'] - Centroids['PC5']).sum()+ (Centroids_new['PC6'] - Centroids['PC6']).sum()+(Centroids_new['PC7'] - Centroids['PC7']).sum()\n", " print(diff.sum())\n", - " Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]" + " Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n", + " \n", + " #we canculate the distance of all the points from those three points and assign each one to one of those three initial points.\n", + " #We then calculate the centroid of the 3 groups so formed. We again do the similar process for these three centroids and keep doing it untill th centroids do not change. " ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 39, "id": "414ccae2", "metadata": {}, "outputs": [ @@ -2228,72 +2605,72 @@ " \n", " \n", " 0\n", - " -0.885122\n", - " -2.483017\n", - " 0.230902\n", - " 0.807129\n", - " 0.043370\n", - " -0.382026\n", - " -0.357206\n", - " 5.717627\n", - " 1.987937\n", - " 3.911431\n", + " -0.162335\n", + " -2.691180\n", + " 0.462974\n", + " 1.026700\n", + " -0.084576\n", + " -0.381915\n", + " -0.437213\n", + " 5.252228\n", + " 2.014093\n", + " 4.405566\n", " 2\n", " \n", " \n", " 1\n", - " -3.000343\n", - " 2.015089\n", - " -0.165334\n", - " -1.087171\n", - " 1.670938\n", - " -0.288015\n", - " 0.942749\n", - " 6.413887\n", - " 5.502300\n", - " 2.453188\n", + " -3.609578\n", + " 1.452286\n", + " 0.257776\n", + " -1.393030\n", + " -1.723324\n", + " -0.348338\n", + " 0.815664\n", + " 6.190838\n", + " 6.049340\n", + " 2.563331\n", " 3\n", " \n", " \n", " 2\n", - " 1.191726\n", - " 0.385174\n", - " -1.926789\n", - " 1.859338\n", - " -0.550103\n", - " -0.230068\n", - " 0.522876\n", - " 3.366650\n", - " 3.467866\n", - " 4.701523\n", + " 1.209456\n", + " 0.739650\n", + " -2.322163\n", + " 1.648912\n", + " -0.097636\n", + " -0.151140\n", + " 0.603231\n", + " 3.184523\n", + " 3.721745\n", + " 5.197523\n", " 1\n", " \n", " \n", " 3\n", - " -0.794805\n", - " 0.218433\n", - " -1.661542\n", - " 1.195618\n", - " 0.058950\n", - " 0.798510\n", - " -0.086756\n", - " 4.447815\n", - " 3.141441\n", - " 2.955205\n", + " -0.822521\n", + " 0.108655\n", + " -1.989476\n", + " 0.888491\n", + " 0.370795\n", + " 0.837325\n", + " -0.335510\n", + " 4.000578\n", + " 3.506006\n", + " 3.331692\n", " 3\n", " \n", " \n", " 4\n", - " -1.265058\n", - " -1.593317\n", - " -0.689436\n", - " 1.339644\n", - " -0.114019\n", - " -0.837737\n", - " 0.231600\n", - " 5.556942\n", - " 2.555326\n", - " 3.316609\n", + " -0.810982\n", + " -1.546788\n", + " -1.102041\n", + " 1.423934\n", + " -0.236897\n", + " -1.051649\n", + " 0.055955\n", + " 4.927874\n", + " 2.793899\n", + " 3.611825\n", " 2\n", " \n", " \n", @@ -2312,72 +2689,72 @@ " \n", " \n", " 8945\n", - " 0.668484\n", - " -2.871696\n", - " 1.452469\n", - " -2.236975\n", - " -2.854943\n", - " 0.766981\n", - " 2.343375\n", - " 6.891655\n", - " 4.841445\n", - " 6.715344\n", + " 1.216913\n", + " -3.051476\n", + " 1.469319\n", + " -1.673300\n", + " 3.131803\n", + " -0.675914\n", + " 2.519925\n", + " 6.845464\n", + " 4.906749\n", + " 7.132388\n", " 2\n", " \n", " \n", " 8946\n", - " 0.262604\n", - " -2.240280\n", - " 1.844972\n", - " -0.568118\n", - " -3.339266\n", - " 1.706628\n", - " 1.774529\n", - " 6.604518\n", - " 4.608522\n", - " 6.223211\n", + " 0.789993\n", + " -2.551945\n", + " 1.538114\n", + " 0.027147\n", + " 3.621475\n", + " 0.183180\n", + " 2.283537\n", + " 6.478891\n", + " 4.633075\n", + " 6.656530\n", " 2\n", " \n", " \n", " 8947\n", - " 0.105962\n", - " -3.066758\n", - " 1.189320\n", - " -1.775107\n", - " -2.965850\n", - " 1.263333\n", - " 1.979732\n", - " 7.025480\n", - " 4.658972\n", - " 6.416311\n", + " 0.755466\n", + " -3.346897\n", + " 1.218480\n", + " -1.190059\n", + " 3.288236\n", + " -0.194735\n", + " 2.379149\n", + " 6.958699\n", + " 4.782899\n", + " 6.882441\n", " 2\n", " \n", " \n", " 8948\n", - " -2.847160\n", - " -2.517979\n", - " -0.295195\n", - " -2.148352\n", - " -2.990361\n", - " 0.696690\n", - " 1.774277\n", - " 8.220182\n", - " 5.554943\n", - " 5.340378\n", + " -3.004977\n", + " -3.263608\n", + " -0.234306\n", + " -1.934602\n", + " 3.234610\n", + " -0.831815\n", + " 1.854007\n", + " 8.340588\n", + " 6.217755\n", + " 5.552556\n", " 3\n", " \n", " \n", " 8949\n", - " -0.164604\n", - " -0.524308\n", - " -1.644250\n", - " -1.315554\n", - " -4.692532\n", - " 1.532319\n", - " 0.092815\n", - " 6.404796\n", - " 5.613511\n", - " 6.016475\n", + " -0.181046\n", + " -0.489371\n", + " -2.034331\n", + " -0.912151\n", + " 5.019384\n", + " 0.524621\n", + " 0.630391\n", + " 6.259581\n", + " 5.894998\n", + " 6.324942\n", " 2\n", " \n", " \n", @@ -2387,35 +2764,35 @@ ], "text/plain": [ " PC1 PC2 PC3 PC4 PC5 PC6 PC7 \\\n", - "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026 -0.357206 \n", - "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015 0.942749 \n", - "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068 0.522876 \n", - "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510 -0.086756 \n", - "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737 0.231600 \n", + "0 -0.162335 -2.691180 0.462974 1.026700 -0.084576 -0.381915 -0.437213 \n", + "1 -3.609578 1.452286 0.257776 -1.393030 -1.723324 -0.348338 0.815664 \n", + "2 1.209456 0.739650 -2.322163 1.648912 -0.097636 -0.151140 0.603231 \n", + "3 -0.822521 0.108655 -1.989476 0.888491 0.370795 0.837325 -0.335510 \n", + "4 -0.810982 -1.546788 -1.102041 1.423934 -0.236897 -1.051649 0.055955 \n", "... ... ... ... ... ... ... ... \n", - "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981 2.343375 \n", - "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628 1.774529 \n", - "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333 1.979732 \n", - "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690 1.774277 \n", - "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319 0.092815 \n", + "8945 1.216913 -3.051476 1.469319 -1.673300 3.131803 -0.675914 2.519925 \n", + "8946 0.789993 -2.551945 1.538114 0.027147 3.621475 0.183180 2.283537 \n", + "8947 0.755466 -3.346897 1.218480 -1.190059 3.288236 -0.194735 2.379149 \n", + "8948 -3.004977 -3.263608 -0.234306 -1.934602 3.234610 -0.831815 1.854007 \n", + "8949 -0.181046 -0.489371 -2.034331 -0.912151 5.019384 0.524621 0.630391 \n", "\n", " 1 2 3 Cluster \n", - "0 5.717627 1.987937 3.911431 2 \n", - "1 6.413887 5.502300 2.453188 3 \n", - "2 3.366650 3.467866 4.701523 1 \n", - "3 4.447815 3.141441 2.955205 3 \n", - "4 5.556942 2.555326 3.316609 2 \n", + "0 5.252228 2.014093 4.405566 2 \n", + "1 6.190838 6.049340 2.563331 3 \n", + "2 3.184523 3.721745 5.197523 1 \n", + "3 4.000578 3.506006 3.331692 3 \n", + "4 4.927874 2.793899 3.611825 2 \n", "... ... ... ... ... \n", - "8945 6.891655 4.841445 6.715344 2 \n", - "8946 6.604518 4.608522 6.223211 2 \n", - "8947 7.025480 4.658972 6.416311 2 \n", - "8948 8.220182 5.554943 5.340378 3 \n", - "8949 6.404796 5.613511 6.016475 2 \n", + "8945 6.845464 4.906749 7.132388 2 \n", + "8946 6.478891 4.633075 6.656530 2 \n", + "8947 6.958699 4.782899 6.882441 2 \n", + "8948 8.340588 6.217755 5.552556 3 \n", + "8949 6.259581 5.894998 6.324942 2 \n", "\n", "[8950 rows x 11 columns]" ] }, - "execution_count": 30, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -2426,7 +2803,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 40, "id": "7d2cc28e", "metadata": { "scrolled": true @@ -2434,7 +2811,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -2446,11 +2823,11 @@ } ], "source": [ - "color=['blue','green','cyan']\n", + "color=['magenta','red','gold']\n", "for k in range(K):\n", " data=X[X[\"Cluster\"]==k+1]\n", " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n", - "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='red')\n", + "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='black')\n", "plt.xlabel('PC1')\n", "plt.ylabel('PC2')\n", "plt.show()" From 1440144242e1dcd8adc565fa4a1e740641779de6 Mon Sep 17 00:00:00 2001 From: 210711amol <107047899+210711amol@users.noreply.github.com> Date: Thu, 7 Jul 2022 06:23:53 +0530 Subject: [PATCH 3/5] 210711_Amol_1 third submission (after changing colour) --- Assignment 1/210711_Amol_1.ipynb | 162 +++++++++++++++---------------- 1 file changed, 79 insertions(+), 83 deletions(-) diff --git a/Assignment 1/210711_Amol_1.ipynb b/Assignment 1/210711_Amol_1.ipynb index 62b43ec..24af0d2 100644 --- a/Assignment 1/210711_Amol_1.ipynb +++ b/Assignment 1/210711_Amol_1.ipynb @@ -27,14 +27,6 @@ "#importing the dataset provided" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "fb384b5b", - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": 3, @@ -2378,7 +2370,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"0.042784796714265196\n", + "0.1886168635006281\n", + "0.19982455564433887\n", + "0.10035677183771079\n", + "0.08225073947868478\n", + "0.07828145522341293\n", + "0.05846402847610073\n", + "0.036198119520379234\n", + "0.013532702364600264\n", + "0.00072151984230397\n", + "0.023923162079625863\n", + "0.01636377386585758\n", + "0.0039898672721169585\n", + "0.00015757833168356453\n", + "-0.0008522340642537034\n", + "0.00034909274914706953\n", "0.0\n" ] } @@ -2612,10 +2608,10 @@ " -0.084576\n", " -0.381915\n", " -0.437213\n", - " 5.252228\n", " 2.014093\n", " 4.405566\n", - " 2\n", + " 5.252228\n", + " 1\n", " \n", " \n", " 1\n", @@ -2626,10 +2622,10 @@ " -1.723324\n", " -0.348338\n", " 0.815664\n", - " 6.190838\n", " 6.049340\n", " 2.563331\n", - " 3\n", + " 6.190838\n", + " 2\n", " \n", " \n", " 2\n", @@ -2640,10 +2636,10 @@ " -0.097636\n", " -0.151140\n", " 0.603231\n", - " 3.184523\n", " 3.721745\n", " 5.197523\n", - " 1\n", + " 3.184523\n", + " 3\n", " \n", " \n", " 3\n", @@ -2654,10 +2650,10 @@ " 0.370795\n", " 0.837325\n", " -0.335510\n", - " 4.000578\n", " 3.506006\n", " 3.331692\n", - " 3\n", + " 4.000578\n", + " 2\n", " \n", " \n", " 4\n", @@ -2668,10 +2664,10 @@ " -0.236897\n", " -1.051649\n", " 0.055955\n", - " 4.927874\n", " 2.793899\n", " 3.611825\n", - " 2\n", + " 4.927874\n", + " 1\n", " \n", " \n", " ...\n", @@ -2696,10 +2692,10 @@ " 3.131803\n", " -0.675914\n", " 2.519925\n", - " 6.845464\n", " 4.906749\n", " 7.132388\n", - " 2\n", + " 6.845464\n", + " 1\n", " \n", " \n", " 8946\n", @@ -2710,10 +2706,10 @@ " 3.621475\n", " 0.183180\n", " 2.283537\n", - " 6.478891\n", " 4.633075\n", " 6.656530\n", - " 2\n", + " 6.478891\n", + " 1\n", " \n", " \n", " 8947\n", @@ -2724,10 +2720,10 @@ " 3.288236\n", " -0.194735\n", " 2.379149\n", - " 6.958699\n", " 4.782899\n", " 6.882441\n", - " 2\n", + " 6.958699\n", + " 1\n", " \n", " \n", " 8948\n", @@ -2738,10 +2734,10 @@ " 3.234610\n", " -0.831815\n", " 1.854007\n", - " 8.340588\n", " 6.217755\n", " 5.552556\n", - " 3\n", + " 8.340588\n", + " 2\n", " \n", " \n", " 8949\n", @@ -2752,10 +2748,10 @@ " 5.019384\n", " 0.524621\n", " 0.630391\n", - " 6.259581\n", " 5.894998\n", " 6.324942\n", - " 2\n", + " 6.259581\n", + " 1\n", " \n", " \n", "\n", @@ -2777,17 +2773,17 @@ "8949 -0.181046 -0.489371 -2.034331 -0.912151 5.019384 0.524621 0.630391 \n", "\n", " 1 2 3 Cluster \n", - "0 5.252228 2.014093 4.405566 2 \n", - "1 6.190838 6.049340 2.563331 3 \n", - "2 3.184523 3.721745 5.197523 1 \n", - "3 4.000578 3.506006 3.331692 3 \n", - "4 4.927874 2.793899 3.611825 2 \n", + "0 2.014093 4.405566 5.252228 1 \n", + "1 6.049340 2.563331 6.190838 2 \n", + "2 3.721745 5.197523 3.184523 3 \n", + "3 3.506006 3.331692 4.000578 2 \n", + "4 2.793899 3.611825 4.927874 1 \n", "... ... ... ... ... \n", - "8945 6.845464 4.906749 7.132388 2 \n", - "8946 6.478891 4.633075 6.656530 2 \n", - "8947 6.958699 4.782899 6.882441 2 \n", - "8948 8.340588 6.217755 5.552556 3 \n", - "8949 6.259581 5.894998 6.324942 2 \n", + "8945 4.906749 7.132388 6.845464 1 \n", + "8946 4.633075 6.656530 6.478891 1 \n", + "8947 4.782899 6.882441 6.958699 1 \n", + "8948 6.217755 5.552556 8.340588 2 \n", + "8949 5.894998 6.324942 6.259581 1 \n", "\n", "[8950 rows x 11 columns]" ] @@ -2803,7 +2799,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 43, "id": "7d2cc28e", "metadata": { "scrolled": true @@ -2811,7 +2807,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -2823,7 +2819,7 @@ } ], "source": [ - "color=['magenta','red','gold']\n", + "color=['red','green','gold']\n", "for k in range(K):\n", " data=X[X[\"Cluster\"]==k+1]\n", " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n", From abf63c56b23a7fc8ec11a72e88d67e6f581fd166 Mon Sep 17 00:00:00 2001 From: 210711amol <107047899+210711amol@users.noreply.github.com> Date: Wed, 13 Jul 2022 00:13:13 +0530 Subject: [PATCH 4/5] Create assignment2 --- Assignment 2/assignment2 | 1 + 1 file changed, 1 insertion(+) create mode 100644 Assignment 2/assignment2 diff --git a/Assignment 2/assignment2 b/Assignment 2/assignment2 new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/Assignment 2/assignment2 @@ -0,0 +1 @@ + From 279f0753ee82ec0ed9f2430bdda785f76f05bc78 Mon Sep 17 00:00:00 2001 From: 210711amol <107047899+210711amol@users.noreply.github.com> Date: Wed, 13 Jul 2022 00:13:43 +0530 Subject: [PATCH 5/5] Add files via upload --- Assignment 2/amolassignment2.ipynb | 516 +++++++++++++++++++++++++++++ 1 file changed, 516 insertions(+) create mode 100644 Assignment 2/amolassignment2.ipynb diff --git a/Assignment 2/amolassignment2.ipynb b/Assignment 2/amolassignment2.ipynb new file mode 100644 index 0000000..8cc2042 --- /dev/null +++ b/Assignment 2/amolassignment2.ipynb @@ -0,0 +1,516 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "d5c2aaa5", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np \n", + "import pandas as pd \n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from math import sqrt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "085f1ee9", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn. model_selection import train_test_split, RepeatedStratifiedKFold, cross_val_score\n", + "from sklearn.metrics import roc_curve, roc_auc_score, confusion_matrix, precision_recall_curve, auc\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.base import BaseEstimator, TransformerMixin\n", + "from sklearn.feature_selection import f_classif\n", + "from sklearn.pipeline import Pipeline\n", + "from scipy.stats import chi2_contingency" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "51b25dff", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\amols\\AppData\\Local\\Temp\\ipykernel_4032\\2032306817.py:1: DtypeWarning: Columns (19) have mixed types. Specify dtype option on import or set low_memory=False.\n", + " df = pd.read_csv('credit_risk_dataset.csv')\n" + ] + } + ], + "source": [ + "df = pd.read_csv('credit_risk_dataset.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "519d8f21", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(466285, 74)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "35a1cc22", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Columns names:\n", + "['id', 'member_id', 'loan_amnt', 'funded_amnt', 'funded_amnt_inv', 'term', 'int_rate', 'installment', 'grade', 'sub_grade', 'emp_title', 'emp_length', 'home_ownership', 'annual_inc', 'verification_status', 'issue_d', 'loan_status', 'pymnt_plan', 'url', 'desc', 'purpose', 'title', 'zip_code', 'addr_state', 'dti', 'delinq_2yrs', 'earliest_cr_line', 'inq_last_6mths', 'mths_since_last_delinq', 'mths_since_last_record', 'open_acc', 'pub_rec', 'revol_bal', 'revol_util', 'total_acc', 'initial_list_status', 'out_prncp', 'out_prncp_inv', 'total_pymnt', 'total_pymnt_inv', 'total_rec_prncp', 'total_rec_int', 'total_rec_late_fee', 'recoveries', 'collection_recovery_fee', 'last_pymnt_d', 'last_pymnt_amnt', 'next_pymnt_d', 'last_credit_pull_d', 'collections_12_mths_ex_med', 'mths_since_last_major_derog', 'policy_code', 'application_type', 'annual_inc_joint', 'dti_joint', 'verification_status_joint', 'acc_now_delinq', 'tot_coll_amt', 'tot_cur_bal', 'open_acc_6m', 'open_il_6m', 'open_il_12m', 'open_il_24m', 'mths_since_rcnt_il', 'total_bal_il', 'il_util', 'open_rv_12m', 'open_rv_24m', 'max_bal_bc', 'all_util', 'total_rev_hi_lim', 'inq_fi', 'total_cu_tl', 'inq_last_12m']\n" + ] + } + ], + "source": [ + "columns_names=df.columns.tolist()\n", + "print(\"Columns names:\")\n", + "print(columns_names)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "61aab035", + "metadata": {}, + "outputs": [], + "source": [ + "dtyp = df.dtypes" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b787bb3b", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "id int64\n", + "member_id int64\n", + "loan_amnt int64\n", + "funded_amnt int64\n", + "funded_amnt_inv float64\n", + " ... \n", + "all_util float64\n", + "total_rev_hi_lim float64\n", + "inq_fi float64\n", + "total_cu_tl float64\n", + "inq_last_12m float64\n", + "Length: 74, dtype: object\n" + ] + } + ], + "source": [ + "print(dtyp)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "dce033a5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " id member_id loan_amnt funded_amnt \\\n", + "count 4.662850e+05 4.662850e+05 466285.000000 466285.000000 \n", + "mean 1.307973e+07 1.459766e+07 14317.277577 14291.801044 \n", + "std 1.089371e+07 1.168237e+07 8286.509164 8274.371300 \n", + "min 5.473400e+04 7.047300e+04 500.000000 500.000000 \n", + "25% 3.639987e+06 4.379705e+06 8000.000000 8000.000000 \n", + "50% 1.010790e+07 1.194108e+07 12000.000000 12000.000000 \n", + "75% 2.073121e+07 2.300154e+07 20000.000000 20000.000000 \n", + "max 3.809811e+07 4.086083e+07 35000.000000 35000.000000 \n", + "\n", + " funded_amnt_inv int_rate installment annual_inc \\\n", + "count 466285.000000 466285.000000 466285.000000 4.662810e+05 \n", + "mean 14222.329888 13.829236 432.061201 7.327738e+04 \n", + "std 8297.637788 4.357587 243.485550 5.496357e+04 \n", + "min 0.000000 5.420000 15.670000 1.896000e+03 \n", + "25% 8000.000000 10.990000 256.690000 4.500000e+04 \n", + "50% 12000.000000 13.660000 379.890000 6.300000e+04 \n", + "75% 19950.000000 16.490000 566.580000 8.896000e+04 \n", + "max 35000.000000 26.060000 1409.990000 7.500000e+06 \n", + "\n", + " dti delinq_2yrs ... total_bal_il il_util open_rv_12m \\\n", + "count 466285.000000 466256.000000 ... 0.0 0.0 0.0 \n", + "mean 17.218758 0.284678 ... NaN NaN NaN \n", + "std 7.851121 0.797365 ... NaN NaN NaN \n", + "min 0.000000 0.000000 ... NaN NaN NaN \n", + "25% 11.360000 0.000000 ... NaN NaN NaN \n", + "50% 16.870000 0.000000 ... NaN NaN NaN \n", + "75% 22.780000 0.000000 ... NaN NaN NaN \n", + "max 39.990000 29.000000 ... NaN NaN NaN \n", + "\n", + " open_rv_24m max_bal_bc all_util total_rev_hi_lim inq_fi \\\n", + "count 0.0 0.0 0.0 3.960090e+05 0.0 \n", + "mean NaN NaN NaN 3.037909e+04 NaN \n", + "std NaN NaN NaN 3.724713e+04 NaN \n", + "min NaN NaN NaN 0.000000e+00 NaN \n", + "25% NaN NaN NaN 1.350000e+04 NaN \n", + "50% NaN NaN NaN 2.280000e+04 NaN \n", + "75% NaN NaN NaN 3.790000e+04 NaN \n", + "max NaN NaN NaN 9.999999e+06 NaN \n", + "\n", + " total_cu_tl inq_last_12m \n", + "count 0.0 0.0 \n", + "mean NaN NaN \n", + "std NaN NaN \n", + "min NaN NaN \n", + "25% NaN NaN \n", + "50% NaN NaN \n", + "75% NaN NaN \n", + "max NaN NaN \n", + "\n", + "[8 rows x 52 columns]\n" + ] + } + ], + "source": [ + "print (df.describe())" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e15efa3d", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['id', 'member_id', 'loan_amnt', 'funded_amnt', 'funded_amnt_inv',\n", + " 'term', 'int_rate', 'installment', 'grade', 'sub_grade', 'emp_title',\n", + " 'emp_length', 'home_ownership', 'annual_inc', 'verification_status',\n", + " 'issue_d', 'loan_status', 'pymnt_plan', 'url', 'desc', 'purpose',\n", + " 'title', 'zip_code', 'addr_state', 'dti', 'delinq_2yrs',\n", + " 'earliest_cr_line', 'inq_last_6mths', 'mths_since_last_delinq',\n", + " 'open_acc', 'pub_rec', 'revol_bal', 'revol_util', 'total_acc',\n", + " 'initial_list_status', 'out_prncp', 'out_prncp_inv', 'total_pymnt',\n", + " 'total_pymnt_inv', 'total_rec_prncp', 'total_rec_int',\n", + " 'total_rec_late_fee', 'recoveries', 'collection_recovery_fee',\n", + " 'last_pymnt_d', 'last_pymnt_amnt', 'next_pymnt_d', 'last_credit_pull_d',\n", + " 'collections_12_mths_ex_med', 'mths_since_last_major_derog',\n", + " 'policy_code', 'application_type', 'acc_now_delinq', 'tot_coll_amt',\n", + " 'tot_cur_bal', 'total_rev_hi_lim'],\n", + " dtype='object')" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns[df.isnull().mean() < 0.8]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "5c023750", + "metadata": {}, + "outputs": [], + "source": [ + "pct_null = df.isnull().sum() / len(df)\n", + "missing_features = pct_null[pct_null > 0.80].index\n", + "df.drop(missing_features, axis=1, inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "71d16d62", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(466285, 56)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "7a0a1886", + "metadata": {}, + "outputs": [], + "source": [ + "duplicate_cols = df.columns[df.columns.duplicated()] \n", + "df.drop(columns=duplicate_cols, inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b773bb74", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(466285, 56)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "1d3f3e8c", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " id member_id loan_amnt funded_amnt \\\n", + "count 4.662850e+05 4.662850e+05 466285.000000 466285.000000 \n", + "mean 1.307973e+07 1.459766e+07 14317.277577 14291.801044 \n", + "std 1.089371e+07 1.168237e+07 8286.509164 8274.371300 \n", + "min 5.473400e+04 7.047300e+04 500.000000 500.000000 \n", + "25% 3.639987e+06 4.379705e+06 8000.000000 8000.000000 \n", + "50% 1.010790e+07 1.194108e+07 12000.000000 12000.000000 \n", + "75% 2.073121e+07 2.300154e+07 20000.000000 20000.000000 \n", + "max 3.809811e+07 4.086083e+07 35000.000000 35000.000000 \n", + "\n", + " funded_amnt_inv int_rate installment annual_inc \\\n", + "count 466285.000000 466285.000000 466285.000000 4.662810e+05 \n", + "mean 14222.329888 13.829236 432.061201 7.327738e+04 \n", + "std 8297.637788 4.357587 243.485550 5.496357e+04 \n", + "min 0.000000 5.420000 15.670000 1.896000e+03 \n", + "25% 8000.000000 10.990000 256.690000 4.500000e+04 \n", + "50% 12000.000000 13.660000 379.890000 6.300000e+04 \n", + "75% 19950.000000 16.490000 566.580000 8.896000e+04 \n", + "max 35000.000000 26.060000 1409.990000 7.500000e+06 \n", + "\n", + " dti delinq_2yrs ... recoveries \\\n", + "count 466285.000000 466256.000000 ... 466285.000000 \n", + "mean 17.218758 0.284678 ... 85.344211 \n", + "std 7.851121 0.797365 ... 552.216084 \n", + "min 0.000000 0.000000 ... 0.000000 \n", + "25% 11.360000 0.000000 ... 0.000000 \n", + "50% 16.870000 0.000000 ... 0.000000 \n", + "75% 22.780000 0.000000 ... 0.000000 \n", + "max 39.990000 29.000000 ... 33520.270000 \n", + "\n", + " collection_recovery_fee last_pymnt_amnt collections_12_mths_ex_med \\\n", + "count 466285.000000 466285.000000 466140.000000 \n", + "mean 8.961534 3123.913796 0.009085 \n", + "std 85.491437 5554.737393 0.108648 \n", + "min 0.000000 0.000000 0.000000 \n", + "25% 0.000000 312.620000 0.000000 \n", + "50% 0.000000 545.960000 0.000000 \n", + "75% 0.000000 3187.510000 0.000000 \n", + "max 7002.190000 36234.440000 20.000000 \n", + "\n", + " mths_since_last_major_derog policy_code acc_now_delinq tot_coll_amt \\\n", + "count 98974.000000 466285.0 466256.000000 3.960090e+05 \n", + "mean 42.852547 1.0 0.004002 1.919135e+02 \n", + "std 21.662591 0.0 0.068637 1.463021e+04 \n", + "min 0.000000 1.0 0.000000 0.000000e+00 \n", + "25% 26.000000 1.0 0.000000 0.000000e+00 \n", + "50% 42.000000 1.0 0.000000 0.000000e+00 \n", + "75% 59.000000 1.0 0.000000 0.000000e+00 \n", + "max 188.000000 1.0 5.000000 9.152545e+06 \n", + "\n", + " tot_cur_bal total_rev_hi_lim \n", + "count 3.960090e+05 3.960090e+05 \n", + "mean 1.388017e+05 3.037909e+04 \n", + "std 1.521147e+05 3.724713e+04 \n", + "min 0.000000e+00 0.000000e+00 \n", + "25% 2.861800e+04 1.350000e+04 \n", + "50% 8.153900e+04 2.280000e+04 \n", + "75% 2.089530e+05 3.790000e+04 \n", + "max 8.000078e+06 9.999999e+06 \n", + "\n", + "[8 rows x 34 columns]\n" + ] + } + ], + "source": [ + "print (df.describe())" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "d654a40a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['Fully Paid', 'Charged Off', 'Current', 'Default',\n", + " 'Late (31-120 days)', 'In Grace Period', 'Late (16-30 days)',\n", + " 'Does not meet the credit policy. Status:Fully Paid',\n", + " 'Does not meet the credit policy. Status:Charged Off'],\n", + " dtype=object)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.loan_status.unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "43f98f24", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "df.insert(16,\"target_variable\", \" \")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "047e19a1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(466285, 57)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "fe4abd8f", + "metadata": {}, + "outputs": [], + "source": [ + "df.drop('loan_status', inplace=True, axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "bcb78a94", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(466285, 56)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "db5cc60e", + "metadata": {}, + "outputs": [], + "source": [ + "df = df.loc[:,~df.columns.duplicated()]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bed4e313", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}