{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# **REGRESION MULTIPLE**" ], "metadata": { "id": "H6IyvoWFTq9b" } }, { "cell_type": "markdown", "source": [ "Es este notebook se contienen los siguientes pasos de analisis:\n", "\n", "1. Resumen del conjunto de datos (estadisticos, tipos, datos perdidos o duplicados)\n", "2. Analisis de una sola variable\n", "3. Analisis de pares de variables\n", "4. Analisis de Regresion\n", "5. Aproximacion 1: Regresion lineal con transformacion de variables\n", "6. Aproximacion 2: Regresion lineal con aumento de caracteristicas\n", " * Guardar/cargar modelo\n", " * Generar predicciones en blind test\n", "7. [Extra] Predicción con Random Forest" ], "metadata": { "id": "JiuBAKBdJFYQ" } }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "VLVKplu0TauA" }, "outputs": [], "source": [ "import warnings\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "from scipy.stats import boxcox, norm, uniform\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.model_selection import train_test_split, KFold, cross_validate\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.metrics import r2_score, mean_absolute_error, mean_squared_error\n", "from sklearn.pipeline import make_pipeline\n", "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", "from statsmodels.tools.tools import add_constant\n", "import statsmodels.api as sm\n", "from sklearn.preprocessing import PolynomialFeatures" ] }, { "cell_type": "markdown", "source": [ "# Leer Dataset" ], "metadata": { "id": "n5k1C5uFTyr1" } }, { "cell_type": "code", "source": [ "path = \"/content/drive/MyDrive/Colab Notebooks/challenge - wize/training_data.csv\"" ], "metadata": { "id": "nu3JTAkVTywK" }, "execution_count": 2, "outputs": [] }, { "cell_type": "code", "source": [ "df = pd.read_csv(path)" ], "metadata": { "id": "FE3Op4FWT2oB" }, "execution_count": 3, "outputs": [] }, { "cell_type": "markdown", "source": [ "# Resumen del conjunto de datos" ], "metadata": { "id": "AnjFzurgUEdu" } }, { "cell_type": "code", "source": [ "df.head()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 255 }, "id": "n5l-6hygUFFw", "outputId": "88742b30-b11b-48ca-d2b5-07c0e7c1be1f" }, "execution_count": 4, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " feature_0 feature_1 feature_2 feature_3 feature_4 feature_5 \\\n", "0 432.475954 289.373016 481.315600 358.755566 802.659004 176.761177 \n", "1 517.596250 330.448341 585.920055 22.684031 169.813240 335.601640 \n", "2 189.439350 553.888820 165.833790 202.465927 176.695586 321.155049 \n", "3 237.307878 195.894881 416.752252 468.729031 611.693517 301.411711 \n", "4 602.845256 16.103208 221.759979 345.765574 558.588369 276.704241 \n", "\n", " feature_6 feature_7 feature_8 feature_9 ... feature_11 \\\n", "0 72.648102 720.969179 36.327684 83.768878 ... 4.385848 \n", "1 284.451476 748.101047 73.701438 358.147215 ... 5.563334 \n", "2 407.278389 161.245668 282.269025 221.570899 ... 4.536947 \n", "3 241.880655 49.597044 122.396821 13.828319 ... 5.518968 \n", "4 408.069566 19.390813 138.769765 146.662193 ... 2.136214 \n", "\n", " feature_12 feature_13 feature_14 feature_15 feature_16 feature_17 \\\n", "0 516.789458 19.624422 13.162440 42.351948 35.920392 20.755984 \n", "1 2.960064 20.721878 17.740184 1.726915 167.576065 75.492679 \n", "2 581.823741 101.695639 0.653592 486.859084 117.491548 6.420465 \n", "3 45.014729 196.350455 47.638515 411.414213 67.142022 115.630943 \n", "4 133.590430 197.634584 26.278027 111.127557 172.181136 85.869642 \n", "\n", " feature_18 feature_19 target \n", "0 13.814300 384.497136 14.364922 \n", "1 2.480979 303.710869 19.984801 \n", "2 20.713314 22.651537 12.944351 \n", "3 8.927957 388.240433 14.792440 \n", "4 30.537857 625.931837 11.802634 \n", "\n", "[5 rows x 21 columns]" ], "text/html": [ "\n", "
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| mean | \n", "468.181612 | \n", "301.960218 | \n", "317.132996 | \n", "283.213456 | \n", "485.975950 | \n", "320.953859 | \n", "217.136330 | \n", "387.196289 | \n", "179.485453 | \n", "196.003058 | \n", "... | \n", "3.372667 | \n", "479.841915 | \n", "100.112096 | \n", "28.334725 | \n", "277.205999 | \n", "91.217615 | \n", "70.927129 | \n", "27.385266 | \n", "457.016407 | \n", "14.631342 | \n", "
| std | \n", "270.797415 | \n", "170.691136 | \n", "176.501920 | \n", "157.698215 | \n", "272.594030 | \n", "185.157189 | \n", "123.660691 | \n", "235.131376 | \n", "104.059309 | \n", "111.042671 | \n", "... | \n", "1.986369 | \n", "276.304197 | \n", "59.149794 | \n", "16.105155 | \n", "167.385930 | \n", "53.950523 | \n", "40.588905 | \n", "15.509062 | \n", "270.650146 | \n", "5.089503 | \n", "
| min | \n", "0.916648 | \n", "0.800119 | \n", "0.173025 | \n", "0.308823 | \n", "0.598527 | \n", "0.997347 | \n", "0.402436 | \n", "0.474825 | \n", "0.727850 | \n", "0.264253 | \n", "... | \n", "0.004464 | \n", "1.706240 | \n", "0.194306 | \n", "0.222312 | \n", "1.726915 | \n", "0.093789 | \n", "0.072986 | \n", "0.101761 | \n", "0.252919 | \n", "0.279805 | \n", "
| 25% | \n", "239.330140 | \n", "157.338244 | \n", "167.516318 | \n", "151.302826 | \n", "250.305362 | \n", "158.374610 | \n", "106.876625 | \n", "195.037853 | \n", "94.220273 | \n", "95.052359 | \n", "... | \n", "1.630150 | \n", "249.560260 | \n", "48.132939 | \n", "14.660437 | \n", "131.516567 | \n", "44.357970 | \n", "34.903031 | \n", "13.815298 | \n", "221.270792 | \n", "10.879914 | \n", "
| 50% | \n", "477.750620 | \n", "303.257176 | \n", "326.310194 | \n", "294.574403 | \n", "493.470486 | \n", "328.722464 | \n", "217.098090 | \n", "364.124238 | \n", "173.364771 | \n", "199.587048 | \n", "... | \n", "3.349497 | \n", "468.536888 | \n", "100.247827 | \n", "27.953146 | \n", "275.950814 | \n", "87.484343 | \n", "74.429675 | \n", "27.766111 | \n", "462.153497 | \n", "14.687955 | \n", "
| 75% | \n", "704.650292 | \n", "448.878174 | \n", "474.484472 | \n", "415.806162 | \n", "720.747672 | \n", "480.076559 | \n", "327.411334 | \n", "588.565017 | \n", "268.790459 | \n", "291.546642 | \n", "... | \n", "5.024192 | \n", "713.291136 | \n", "149.966755 | \n", "42.514155 | \n", "423.110446 | \n", "137.888018 | \n", "105.484961 | \n", "40.402938 | \n", "688.352373 | \n", "18.224713 | \n", "
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8 rows × 21 columns
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\n", "| \n", " | feature_0 | \n", "feature_1 | \n", "feature_2 | \n", "feature_3 | \n", "feature_4 | \n", "feature_5 | \n", "feature_6 | \n", "feature_7 | \n", "feature_8 | \n", "feature_9 | \n", "feature_10 | \n", "feature_11 | \n", "feature_12 | \n", "feature_13 | \n", "feature_14 | \n", "feature_15 | \n", "feature_16 | \n", "feature_17 | \n", "feature_18 | \n", "feature_19 | \n", "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", "676.867615 | \n", "32.518822 | \n", "254.825875 | \n", "502.268510 | \n", "609.469688 | \n", "497.624266 | \n", "105.246239 | \n", "269.045539 | \n", "150.177005 | \n", "312.649860 | \n", "765.296227 | \n", "0.237996 | \n", "660.030637 | \n", "147.059794 | \n", "40.232132 | \n", "464.424834 | \n", "121.147466 | \n", "68.284243 | \n", "26.969870 | \n", "314.461582 | \n", "
| 1 | \n", "628.695228 | \n", "426.163933 | \n", "347.070280 | \n", "431.106903 | \n", "915.527507 | \n", "301.699534 | \n", "1.666992 | \n", "306.733041 | \n", "104.234252 | \n", "63.242070 | \n", "467.009734 | \n", "6.608084 | \n", "600.994184 | \n", "43.619815 | \n", "48.153926 | \n", "457.256565 | \n", "49.163652 | \n", "85.511662 | \n", "33.500538 | \n", "819.537877 | \n", "
| 2 | \n", "131.765943 | \n", "323.839669 | \n", "245.399775 | \n", "181.814398 | \n", "710.179159 | \n", "59.117377 | \n", "312.622788 | \n", "687.965027 | \n", "109.803179 | \n", "381.169500 | \n", "700.532108 | \n", "1.822370 | \n", "736.306092 | \n", "138.759029 | \n", "36.915389 | \n", "436.174065 | \n", "10.037994 | \n", "62.631938 | \n", "6.211169 | \n", "341.361374 | \n", "
| 3 | \n", "160.970195 | \n", "489.712029 | \n", "70.482159 | \n", "309.486269 | \n", "888.030604 | \n", "412.655666 | \n", "216.124989 | \n", "47.415477 | \n", "104.139145 | \n", "326.462385 | \n", "378.446187 | \n", "1.686895 | \n", "485.144327 | \n", "143.668518 | \n", "27.168148 | \n", "309.715497 | \n", "149.661493 | \n", "66.415878 | \n", "15.001753 | \n", "539.087409 | \n", "
| 4 | \n", "419.907137 | \n", "216.625219 | \n", "487.887860 | \n", "253.704462 | \n", "323.226862 | \n", "65.744463 | \n", "271.811469 | \n", "527.726782 | \n", "129.805782 | \n", "168.429679 | \n", "637.944633 | \n", "0.948507 | \n", "365.946758 | \n", "72.337904 | \n", "36.232169 | \n", "302.772338 | \n", "186.944884 | \n", "106.514846 | \n", "3.443809 | \n", "364.341969 | \n", "
| ... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "
| 195 | \n", "338.704937 | \n", "571.484945 | \n", "81.944368 | \n", "184.017130 | \n", "832.342389 | \n", "266.000377 | \n", "257.142157 | \n", "754.889691 | \n", "255.502127 | \n", "109.691700 | \n", "556.704439 | \n", "5.948526 | \n", "728.419142 | \n", "174.741510 | \n", "27.102480 | \n", "128.738736 | \n", "179.130863 | \n", "91.028342 | \n", "19.159594 | \n", "881.204989 | \n", "
| 196 | \n", "636.334900 | \n", "463.410003 | \n", "108.586165 | \n", "69.428378 | \n", "647.404723 | \n", "29.340233 | \n", "91.548173 | \n", "73.493978 | \n", "192.087685 | \n", "373.060558 | \n", "648.906863 | \n", "1.021152 | \n", "432.620953 | \n", "90.630144 | \n", "42.741525 | \n", "375.416247 | \n", "160.475640 | \n", "76.325002 | \n", "27.156436 | \n", "470.161969 | \n", "
| 197 | \n", "435.715962 | \n", "224.963040 | \n", "438.132233 | \n", "388.507029 | \n", "18.294208 | \n", "124.111105 | \n", "198.481796 | \n", "401.100473 | \n", "148.652952 | \n", "360.232978 | \n", "567.386243 | \n", "1.438832 | \n", "916.375260 | \n", "5.515257 | \n", "39.389621 | \n", "546.273628 | \n", "20.791345 | \n", "132.257432 | \n", "20.496401 | \n", "668.933127 | \n", "
| 198 | \n", "838.424816 | \n", "158.607679 | \n", "413.606784 | \n", "291.848099 | \n", "455.663252 | \n", "60.007796 | \n", "361.420138 | \n", "38.148173 | \n", "330.397949 | \n", "143.520905 | \n", "103.086344 | \n", "0.106124 | \n", "650.671949 | \n", "85.071368 | \n", "39.471232 | \n", "115.479997 | \n", "32.710473 | \n", "137.775278 | \n", "50.045511 | \n", "487.376756 | \n", "
| 199 | \n", "685.181970 | \n", "558.752726 | \n", "176.051484 | \n", "547.903895 | \n", "500.995452 | \n", "501.100060 | \n", "155.535149 | \n", "615.040599 | \n", "148.151929 | \n", "336.529767 | \n", "502.932903 | \n", "5.850888 | \n", "65.325331 | \n", "102.519883 | \n", "37.927566 | \n", "474.402615 | \n", "25.119786 | \n", "77.036973 | \n", "20.758504 | \n", "383.794949 | \n", "
200 rows × 20 columns
\n", "| \n", " | target_pred | \n", "
|---|---|
| 0 | \n", "13.432467 | \n", "
| 1 | \n", "12.672991 | \n", "
| 2 | \n", "16.063191 | \n", "
| 3 | \n", "12.033187 | \n", "
| 4 | \n", "17.657221 | \n", "
| ... | \n", "... | \n", "
| 195 | \n", "12.963130 | \n", "
| 196 | \n", "11.985746 | \n", "
| 197 | \n", "9.385929 | \n", "
| 198 | \n", "15.309121 | \n", "
| 199 | \n", "17.626882 | \n", "
200 rows × 1 columns
\n", "