diff --git a/2-Regression/1-Tools/notebook.ipynb b/2-Regression/1-Tools/notebook.ipynb index e69de29b..79937d98 100644 --- a/2-Regression/1-Tools/notebook.ipynb +++ b/2-Regression/1-Tools/notebook.ipynb @@ -0,0 +1,151 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from sklearn import datasets, linear_model, model_selection" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(442, 10)\n", + "[ 0.03807591 0.05068012 0.06169621 0.02187239 -0.0442235 -0.03482076\n", + " -0.04340085 -0.00259226 0.01990749 -0.01764613]\n" + ] + } + ], + "source": [ + "X, y = datasets.load_diabetes(return_X_y=True)\n", + "print(X.shape)\n", + "print(X[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "X = X[:, 2]\n", + "X = X.reshape((-1,1))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(442, 1)\n" + ] + } + ], + "source": [ + "print(X.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
LinearRegression()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "LinearRegression()" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model = linear_model.LinearRegression()\n", + "model.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "y_pred = model.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_test, y_test, color='black')\n", + "plt.plot(X_test, y_pred, color='blue', linewidth=3)\n", + "plt.xlabel('Scaled BMIs')\n", + "plt.ylabel('Disease Progression')\n", + "plt.title('A Graph Plot Showing Diabetes Progression Against BMI')\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.12.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}