{ "cells": [ { "cell_type": "markdown", "id": "3ec95fa0-da20-41dc-820e-2f33f262f4e2", "metadata": { "tags": [] }, "source": [ "# Section 4.2 — Multiple linear regression\n", "\n", "This notebook contains the code examples from [Section 4.2 Multiple linear regression]() from the **No Bullshit Guide to Statistics**." ] }, { "cell_type": "markdown", "id": "eb4d1856-22a1-4634-87d7-5fc091d93e12", "metadata": { "tags": [] }, "source": [ "#### Notebook setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "0003a9e7-21c7-47a5-bdec-3bd3ca2a79f4", "metadata": {}, "outputs": [], "source": [ "# load Python modules\n", "import os\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "8e67e0e7-4f48-4c48-a49d-3cdf22cbd014", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figures setup\n", "plt.clf() # needed otherwise `sns.set_theme` doesn't work\n", "from plot_helpers import RCPARAMS\n", "# RCPARAMS.update({\"figure.figsize\": (10, 4)}) # good for screen\n", "RCPARAMS.update({\"figure.figsize\": (5, 2.3)}) # good for print\n", "sns.set_theme(\n", " context=\"paper\",\n", " style=\"whitegrid\",\n", " palette=\"colorblind\",\n", " rc=RCPARAMS,\n", ")\n", "\n", "# High-resolution please\n", "%config InlineBackend.figure_format = \"retina\"\n", "\n", "# Where to store figures\n", "DESTDIR = \"figures/lm/multiple\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "be27288b-8090-4e3f-9694-e0f0c2eca6c3", "metadata": {}, "outputs": [], "source": [ "from ministats.utils import savefigure" ] }, { "cell_type": "code", "execution_count": 4, "id": "efc0e89b-72bf-4658-8f8a-a3d85bee00b6", "metadata": {}, "outputs": [], "source": [ "# set random seed for repeatability\n", "np.random.seed(42)\n", "#######################################################" ] }, { "cell_type": "markdown", "id": "2affc8db-a0b2-4d5d-a720-462fe7b85b74", "metadata": {}, "source": [ "## Definitions" ] }, { "cell_type": "code", "execution_count": null, "id": "26333a07-f09c-4c2a-afa5-a46773eab374", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "032a20d8-028d-4f48-949b-81f541309cd0", "metadata": {}, "source": [ "## Doctors dataset" ] }, { "cell_type": "code", "execution_count": 5, "id": "78dde3df-80b2-4b25-89c1-7c2dfda27588", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(156, 12)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "doctors = pd.read_csv(\"../datasets/doctors.csv\")\n", "doctors.shape" ] }, { "cell_type": "code", "execution_count": 6, "id": "d00b51d0-419f-495e-8932-c3efe54869d0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
permitnamelocworkageexphourscafalcweedexrcscore
093273Robert Snyderrurhos26221205.00.063
190852David Barnetturbcli43117426200.04.516
292744Wesley Sanchezurbhos301632510.07.058
373553Anna Griffinurbeld5323773640.02.055
482441Tiffany Richardrurcli263362290.07.547
\n", "
" ], "text/plain": [ " permit name loc work age exp hours caf alc weed exrc \\\n", "0 93273 Robert Snyder rur hos 26 2 21 2 0 5.0 0.0 \n", "1 90852 David Barnett urb cli 43 11 74 26 20 0.0 4.5 \n", "2 92744 Wesley Sanchez urb hos 30 1 63 25 1 0.0 7.0 \n", "3 73553 Anna Griffin urb eld 53 23 77 36 4 0.0 2.0 \n", "4 82441 Tiffany Richard rur cli 26 3 36 22 9 0.0 7.5 \n", "\n", " score \n", "0 63 \n", "1 16 \n", "2 58 \n", "3 55 \n", "4 47 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "doctors.head()" ] }, { "cell_type": "code", "execution_count": 7, "id": "3a681672-93b1-4d97-800b-95b8f1c2617c", "metadata": {}, "outputs": [], "source": [ "# doctors.columns\n", "# cols = [\"loc\", \"work\", \"age\", \"exp\", \"hours\", \"caf\", \"alc\", \"weed\", \"exrc\", \"score\"]\n", "# print(\"skipping columns\", set(doctors.columns) - set(cols))\n", "# docs = doctors[cols]\n", "# lines = str(docs.head()).splitlines()\n", "# for i, line in enumerate(lines):\n", "# print(line.replace(\" \", \" \", 1))" ] }, { "cell_type": "code", "execution_count": null, "id": "00ebc8cc-54ed-49fc-bec1-81f14b8e2b46", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "53b4386c-3b17-40b7-b448-fc3de051783e", "metadata": {}, "source": [ "## Multiple linear regression model\n", "$\\newcommand{\\Err}{ {\\Large \\varepsilon}}$\n", "\n", "$$\n", " Y = \\beta_0 + \\beta_1 x_1 + \\beta_2 x_2 + \\cdots + \\beta_p x_p + \\Err,\n", "$$\n", "\n", "where $p$ is the number of predictors\n", "and $\\Err$ represents Gaussian noise $\\Err \\sim \\mathcal{N}(0,\\sigma)$.\n" ] }, { "cell_type": "markdown", "id": "4a5cbb4f-e14f-409b-9108-954edc7b1d45", "metadata": {}, "source": [ "### Model assumptions\n", "\n", "TODO: add model assumptions\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "75eef1e1-a12c-46b9-8d4d-ad2fdc56ca19", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "71e79a96-00b1-417f-a5ca-bbaa4b8190ed", "metadata": {}, "source": [ "## Example: linear model for doctors' sleep scores\n", "\n", "We want to know the influence of drinking alcohol, smoking weed, and exercise on sleep score?" ] }, { "cell_type": "code", "execution_count": 8, "id": "2d95029c-b57e-4945-ae04-2fce70c056cb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 60.452901\n", "alc -1.800101\n", "weed -1.021552\n", "exrc 1.768289\n", "dtype: float64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import statsmodels.formula.api as smf\n", "\n", "formula = \"score ~ 1 + alc + weed + exrc\"\n", "lm2 = smf.ols(formula, data=doctors).fit()\n", "lm2.params" ] }, { "cell_type": "code", "execution_count": 9, "id": "ee00dc01-fe88-4f0d-a6e0-a95243a32ce0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 220, "width": 467 } }, "output_type": "display_data" } ], "source": [ "sns.barplot(x=lm2.params.values[1:],\n", " y=lm2.params.index[1:]);" ] }, { "cell_type": "markdown", "id": "f3ca3dd8-58d9-4067-8c83-cef24acaf9b0", "metadata": {}, "source": [ "### Partial regression plots" ] }, { "cell_type": "markdown", "id": "bbe0455e-ff07-4177-9ddb-a699e3a80355", "metadata": {}, "source": [ "#### Partial regression plot for the predictor `alc` " ] }, { "cell_type": "code", "execution_count": 10, "id": "6896f881-7a01-47d0-b6e1-c3dbfce263a5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.6282051282051282, 5.387820512820513)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b0, b_alc, b_weed, b_exrc = lm2.params\n", "avg_weed = doctors[\"weed\"].mean()\n", "avg_exrc = doctors[\"exrc\"].mean()\n", "avg_weed, avg_exrc" ] }, { "cell_type": "code", "execution_count": 11, "id": "f6b800f7-c37e-4e00-ad43-c2ffe84a2655", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "69.33837903371315" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "int_alc = b0 + b_weed*avg_weed + b_exrc*avg_exrc\n", "int_alc" ] }, { "cell_type": "code", "execution_count": 12, "id": "fdca2167-baea-4c26-a235-f20802cd1257", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 240, "width": 456 } }, "output_type": "display_data" } ], "source": [ "alcs = np.linspace(0, doctors[\"alc\"].max())\n", "scorehats_alc = int_alc + b_alc*alcs\n", "sns.lineplot(x=alcs, y=scorehats_alc)\n", "sns.scatterplot(data=doctors, x=\"alc\", y=\"score\");" ] }, { "cell_type": "markdown", "id": "15c51568-7adf-4bb7-b2ad-053f7c73d0c1", "metadata": {}, "source": [ "#### Partial regression plot for the predictor `weed` " ] }, { "cell_type": "code", "execution_count": 13, "id": "f22f422b-93ee-4c5a-9f4b-27bbc9d8eebb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "weed intercept= 48.66738501700138 slope= -1.0215516597164398\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 241, "width": 456 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_lm_partial\n", "\n", "plot_lm_partial(lm2, \"weed\")\n", "sns.scatterplot(data=doctors, x=\"weed\", y=\"score\");" ] }, { "cell_type": "code", "execution_count": null, "id": "c6ea4922-3ab3-4650-8f39-b887243fc3f3", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "efe07f4b-384f-4a47-bd6b-760acabd0d8c", "metadata": {}, "source": [ "#### Partial regression plot for the predictor `exrc`" ] }, { "cell_type": "code", "execution_count": 14, "id": "4d91b179-65cd-48c9-9f49-07aa9bbdc151", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exrc intercept= 38.49841859100912 slope= 1.768288756457561\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 241, "width": 456 } }, "output_type": "display_data" } ], "source": [ "plot_lm_partial(lm2, \"exrc\")\n", "sns.scatterplot(data=doctors, x=\"exrc\", y=\"score\");" ] }, { "cell_type": "code", "execution_count": 15, "id": "675306ac-d06e-4767-89b2-79edacd1b932", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alc intercept= 69.33837903371315 slope= -1.8001013152459384\n", "weed intercept= 48.66738501700138 slope= -1.0215516597164398\n", "exrc intercept= 38.49841859100912 slope= 1.768288756457561\n", "Saved figure to figures/lm/multiple/prediction_score_vs_alc_weed_exrc.pdf\n", "Saved figure to figures/lm/multiple/prediction_score_vs_alc_weed_exrc.png\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 192, "width": 612 } }, "output_type": "display_data" } ], "source": [ "# leave simplified version after split to figures only\n", "\n", "from ministats import plot_lm_partial\n", "\n", "with plt.rc_context({\"figure.figsize\":(6.2,2)}):\n", " fig, (ax1,ax2,ax3) = plt.subplots(1,3, sharey=True)\n", " # alc\n", " sns.scatterplot(data=doctors, x=\"alc\", y=\"score\", s=5, ax=ax1)\n", " ax1.set_xticks([0,10,20,30,40])\n", " plot_lm_partial(lm2, \"alc\", ax=ax1)\n", " # weed\n", " sns.scatterplot(data=doctors, x=\"weed\", y=\"score\", s=5, ax=ax2)\n", " ax2.set_xticks([0,2,4,6,8,10])\n", " plot_lm_partial(lm2, \"weed\", ax=ax2)\n", " # exrc\n", " sns.scatterplot(data=doctors, x=\"exrc\", y=\"score\", s=5, ax=ax3)\n", " ax3.set_xticks([0,5,10,15,20])\n", " plot_lm_partial(lm2, \"exrc\", ax=ax3)\n", "\n", " filename = os.path.join(DESTDIR, \"prediction_score_vs_alc_weed_exrc.pdf\")\n", " savefigure(plt.gcf(), filename)" ] }, { "cell_type": "code", "execution_count": null, "id": "fb20aded-7d45-4c5e-b8dc-70ca94dcd24b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4ccf3127-869e-4d15-8cf7-5dd080c276d2", "metadata": {}, "source": [ "### Plot residuals" ] }, { "cell_type": "code", "execution_count": 16, "id": "3644f566-08ce-425e-963c-95996554c804", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 239, "width": 458 } }, "output_type": "display_data" } ], "source": [ "ax = sns.scatterplot(x=doctors[\"alc\"], y=lm2.resid)\n", "ax.axhline(y=0, color=\"b\", linestyle=\"dashed\")\n", "ax.set_ylabel(\"residuals\");" ] }, { "cell_type": "code", "execution_count": 17, "id": "eefe5725-bda0-4d7a-82c5-3d71b62d5934", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saved figure to figures/lm/multiple/residuals_vs_alc_weed_exrc.pdf\n", "Saved figure to figures/lm/multiple/residuals_vs_alc_weed_exrc.png\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 191, "width": 612 } }, "output_type": "display_data" } ], "source": [ "# leave simplified version after split to figures only\n", "\n", "with plt.rc_context({\"figure.figsize\":(6.2,2)}):\n", " fig, (ax1,ax2,ax3) = plt.subplots(1, 3, sharey=True)\n", " ax1.set_ylabel(\"residuals\")\n", " \n", " # residuals vs. alc\n", " sns.scatterplot(x=doctors[\"alc\"], y=lm2.resid, s=5, ax=ax1)\n", " ax1.set_xticks([0,10,20,30,40])\n", " ax1.axhline(y=0, color=\"b\", linestyle=\"dashed\")\n", " \n", " # residuals vs. weed\n", " sns.scatterplot(x=doctors[\"weed\"], y=lm2.resid, s=5, ax=ax2)\n", " ax2.set_xticks([0,2,4,6,8,10])\n", " ax2.axhline(y=0, color=\"b\", linestyle=\"dashed\")\n", " \n", " # residuals vs. exrc\n", " sns.scatterplot(x=doctors[\"exrc\"], y=lm2.resid, s=5, ax=ax3)\n", " ax3.set_xticks([0,5,10,15,20])\n", " ax3.axhline(y=0, color=\"b\", linestyle=\"dashed\")\n", " \n", " filename = os.path.join(DESTDIR, \"residuals_vs_alc_weed_exrc.pdf\")\n", " savefigure(plt.gcf(), filename)" ] }, { "cell_type": "code", "execution_count": null, "id": "37923e6b-b8cb-458a-8c9f-4eb3282b0a72", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a1fe20da-a748-4f04-bb56-c4d6c9346f76", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b9e667ec-271f-463b-b123-5f152d197dfd", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "757e308d-6c5b-49f1-ba2c-a2ed8e28ad61", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "704e7091-ff6a-448a-9112-b9a341b4463c", "metadata": {}, "source": [ "### Model summary table" ] }, { "cell_type": "code", "execution_count": 18, "id": "683f5d98-c1e1-4971-a092-cf7d30fa3271", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: score R-squared: 0.842
Model: OLS Adj. R-squared: 0.839
Method: Least Squares F-statistic: 270.3
Date: Tue, 30 Apr 2024 Prob (F-statistic): 1.05e-60
Time: 00:29:48 Log-Likelihood: -547.63
No. Observations: 156 AIC: 1103.
Df Residuals: 152 BIC: 1115.
Df Model: 3
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 60.4529 1.289 46.885 0.000 57.905 63.000
alc -1.8001 0.070 -25.726 0.000 -1.938 -1.662
weed -1.0216 0.476 -2.145 0.034 -1.962 -0.081
exrc 1.7683 0.138 12.809 0.000 1.496 2.041
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 1.140 Durbin-Watson: 1.828
Prob(Omnibus): 0.565 Jarque-Bera (JB): 0.900
Skew: 0.182 Prob(JB): 0.638
Kurtosis: 3.075 Cond. No. 31.2


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "HTML(lm2.summary().as_html())" ] }, { "cell_type": "code", "execution_count": 19, "id": "896c11f7-5c64-4382-878f-6dd20df9ba7f", "metadata": {}, "outputs": [], "source": [ "#######################################################" ] }, { "cell_type": "code", "execution_count": null, "id": "5ce9934a-bee7-42f4-89c8-ef4cac465128", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "dceed77b-d473-4ff2-af29-03a8a3f1e3c1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1d56e913-d099-4890-a0bb-b73a53e2dd9b", "metadata": {}, "source": [ "## Explanations" ] }, { "cell_type": "markdown", "id": "e881ac25-cef4-430d-ac55-d1849c804f4f", "metadata": {}, "source": [ "### Non-linear terms in linear regression" ] }, { "cell_type": "code", "execution_count": null, "id": "c478b135-a906-40a1-992d-c97d1a87ef34", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4c18d579-b100-4464-bdc5-9440ad104a58", "metadata": {}, "source": [ "### Example: polynomial regression" ] }, { "cell_type": "code", "execution_count": 20, "id": "f1842345-515b-4e38-9113-ea2263a994e8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "270" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "howell30 = pd.read_csv(\"../datasets/howell30.csv\")\n", "len(howell30)" ] }, { "cell_type": "code", "execution_count": 21, "id": "acdce86a-c889-4862-9f9e-d43d885dbaab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 64.708568\n", "age 7.100854\n", "np.square(age) -0.137302\n", "dtype: float64" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fit quadratic model\n", "formula2 = \"height ~ 1 + age + np.square(age)\"\n", "lmq = smf.ols(formula2, data=howell30).fit()\n", "lmq.params" ] }, { "cell_type": "code", "execution_count": 22, "id": "935e7f3b-d4be-45d3-a13b-ae9a4d2ee32d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saved figure to figures/lm/multiple/howell_quadratic_fit_height_vs_age.pdf\n", "Saved figure to figures/lm/multiple/howell_quadratic_fit_height_vs_age.png\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 221, "width": 492 } }, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "sns.scatterplot(data=howell30, x=\"age\", y=\"height\");\n", "\n", "# Plot the best-fit quadratic model\n", "intercept, b_lin, b_quad = lmq.params\n", "ages = np.linspace(0.1, howell30[\"age\"].max())\n", "heighthats = intercept + b_lin*ages + b_quad*ages**2\n", "sns.lineplot(x=ages, y=heighthats, color=\"b\");\n", "\n", "filename = os.path.join(DESTDIR, \"howell_quadratic_fit_height_vs_age.pdf\")\n", "savefigure(plt.gcf(), filename)" ] }, { "cell_type": "code", "execution_count": null, "id": "9215547f-cd3f-4f64-b791-3f82e881d9b9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0fa056dc-62e3-4ae5-85cc-784724b09a3e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "8c6cf9c3-4145-43f3-9ee5-2bd85f8045c6", "metadata": {}, "source": [ "### Feature engineering and transformed variables" ] }, { "cell_type": "markdown", "id": "d8609b57-042d-490f-bfb7-8a674d09086f", "metadata": {}, "source": [ "#### Example of polynomial regression up to degree 3" ] }, { "cell_type": "code", "execution_count": 23, "id": "88f82da9-4719-4973-81b8-fa029bfd3872", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 63.461484\n", "age 7.636139\n", "np.power(age, 2) -0.183218\n", "np.power(age, 3) 0.001033\n", "dtype: float64" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "formula3 = \"height ~ 1 + age + np.power(age,2) + np.power(age,3)\"\n", "exlm3 = smf.ols(formula3, data=howell30).fit()\n", "exlm3.params" ] }, { "cell_type": "code", "execution_count": 24, "id": "ae133938-d045-41be-98d7-3dd5fc37db1f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 239, "width": 457 } }, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=howell30, x=\"age\", y=\"height\")\n", "sns.lineplot(x=ages, y=exlm3.predict({\"age\":ages}));" ] }, { "cell_type": "markdown", "id": "fe047f79-3c32-433b-ae69-8e9114a1e431", "metadata": {}, "source": [ "#### Example including square root and logarithmic terms" ] }, { "cell_type": "code", "execution_count": 25, "id": "943b2923-55b9-4f8b-98e2-45d1e099281d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 2.399852\n", "age -5.190301\n", "np.sqrt(age) 70.356734\n", "np.log(age) -21.400073\n", "dtype: float64" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "formula4 = \"height ~ 1 + age + np.sqrt(age) + np.log(age)\"\n", "exlm4 = smf.ols(formula4, data=howell30).fit()\n", "exlm4.params" ] }, { "cell_type": "code", "execution_count": 26, "id": "94befe54-277d-4d0e-a554-347e949d17ad", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 239, "width": 457 } }, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=howell30, x=\"age\", y=\"height\")\n", "sns.lineplot(x=ages, y=exlm4.predict({\"age\":ages}));" ] }, { "cell_type": "markdown", "id": "6b34ee4a-7baf-4d18-b2a5-a74b59a4a83b", "metadata": {}, "source": [ "## Discussion" ] }, { "cell_type": "code", "execution_count": null, "id": "f91072d1-0737-4c1b-a404-44728d890748", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "eb2bcafc-e762-43d0-b899-1f01e92ec1e2", "metadata": {}, "source": [ "## Exercises" ] }, { "cell_type": "code", "execution_count": null, "id": "00b858d7-6ab7-48cf-837d-e1a09bd5eea8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "51f9b357-f8b7-4ae1-8093-972223067995", "metadata": {}, "source": [ "## Links" ] }, { "cell_type": "code", "execution_count": null, "id": "2114fb32-6996-4f3d-ae75-c7eda6c1fc0c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d3659ea8-3fe3-46b1-b9cc-c9bbbe52307e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "242e09b7-a3fc-446e-b4d8-72ca7eed9bb1", "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": "3.9.4" } }, "nbformat": 4, "nbformat_minor": 5 }