From 188e23349bb1a242afdb575ee23d91a21c6ab685 Mon Sep 17 00:00:00 2001
From: Shubhi Srivastava <72998724+shubhi13@users.noreply.github.com>
Date: Sat, 30 Oct 2021 02:09:00 +0530
Subject: [PATCH] Polynomial Regression using Python
---
.../Polynomial Regression/Boston.ns.csv | 507 ++++++++++
.../Polynomial Regression.ipynb | 877 ++++++++++++++++++
2 files changed, 1384 insertions(+)
create mode 100644 Machine Learning/Polynomial Regression/Boston.ns.csv
create mode 100644 Machine Learning/Polynomial Regression/Polynomial Regression.ipynb
diff --git a/Machine Learning/Polynomial Regression/Boston.ns.csv b/Machine Learning/Polynomial Regression/Boston.ns.csv
new file mode 100644
index 0000000..8c2d22a
--- /dev/null
+++ b/Machine Learning/Polynomial Regression/Boston.ns.csv
@@ -0,0 +1,507 @@
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diff --git a/Machine Learning/Polynomial Regression/Polynomial Regression.ipynb b/Machine Learning/Polynomial Regression/Polynomial Regression.ipynb
new file mode 100644
index 0000000..fcaab1a
--- /dev/null
+++ b/Machine Learning/Polynomial Regression/Polynomial Regression.ipynb
@@ -0,0 +1,877 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Shubhi Srivastava\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.model_selection import train_test_split\n",
+ "from sklearn.linear_model import LinearRegression\n",
+ "from sklearn.preprocessing import PolynomialFeatures\n",
+ "from sklearn.metrics import mean_squared_error, r2_score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "bn=pd.read_csv(\"Boston.ns.csv\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(10,10))\n",
+ "correlation_matrix=bn.corr().round(2)\n",
+ "sns.heatmap(data=correlation_matrix,annot=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(506, 4)\n",
+ "(506,)\n"
+ ]
+ }
+ ],
+ "source": [
+ "X = pd.DataFrame(np.c_[bn['lstat'], bn['rm'], bn['crim'], bn['nox']])\n",
+ "Y = bn['medv']\n",
+ "\n",
+ "print(X.shape)\n",
+ "print(Y.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
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+ "
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+ ],
+ "text/plain": [
+ " 0 1 2 3\n",
+ "0 4.98 6.575 0.00632 0.538\n",
+ "1 9.14 6.421 0.02731 0.469\n",
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+ "3 2.94 6.998 0.03237 0.458\n",
+ "4 5.33 7.147 0.06905 0.458\n",
+ ".. ... ... ... ...\n",
+ "501 9.67 6.593 0.06263 0.573\n",
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+ "504 6.48 6.794 0.10959 0.573\n",
+ "505 7.88 6.030 0.04741 0.573\n",
+ "\n",
+ "[506 rows x 4 columns]"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0 24.0\n",
+ "1 21.6\n",
+ "2 34.7\n",
+ "3 33.4\n",
+ "4 36.2\n",
+ " ... \n",
+ "501 22.4\n",
+ "502 20.6\n",
+ "503 23.9\n",
+ "504 22.0\n",
+ "505 11.9\n",
+ "Name: medv, Length: 506, dtype: float64"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Y"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(404, 4)\n",
+ "(102, 4)\n",
+ "(404,)\n",
+ "(102,)\n"
+ ]
+ }
+ ],
+ "source": [
+ "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=0.2, random_state=1)\n",
+ "print(X_train.shape)\n",
+ "print(X_test.shape)\n",
+ "print(Y_train.shape)\n",
+ "print(Y_test.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Polynomial Regression using Pipeline\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "RMSE for training is: 4.169326707780467\n",
+ "R2 score for training is: 0.7848107554125185\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.pipeline import make_pipeline\n",
+ "degree=2\n",
+ "polyreg=make_pipeline(PolynomialFeatures(degree),LinearRegression())\n",
+ "polyreg.fit(X_train,Y_train)\n",
+ "y_pred=polyreg.predict(X_train)\n",
+ "rmse = (np.sqrt(mean_squared_error(Y_train,y_pred)))\n",
+ "r2=r2_score(Y_train,y_pred)\n",
+ "print(\"RMSE for training is:\",rmse)\n",
+ "print(\"R2 score for training is:\",r2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "RMSE for testing is: 3.8889890611456277\n",
+ "R2 score for testing is: 0.8469631141782175\n"
+ ]
+ }
+ ],
+ "source": [
+ "y_pred=polyreg.predict(X_test)\n",
+ "rmse = (np.sqrt(mean_squared_error(Y_test,y_pred)))\n",
+ "r2=r2_score(Y_test,y_pred)\n",
+ "print(\"RMSE for testing is:\",rmse)\n",
+ "print(\"R2 score for testing is:\",r2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Polynomial Regression"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "poly_features = PolynomialFeatures(degree=2)\n",
+ "X_train_poly = poly_features.fit_transform(X_train)\n",
+ "X_test_poly=poly_features.fit_transform(X_test)\n",
+ "poly_model = LinearRegression()\n",
+ "poly_model.fit(X_train_poly, Y_train)\n",
+ "y_train_predicted = poly_model.predict(X_train_poly)\n",
+ "y_test_predicted = poly_model.predict(X_test_poly)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The polynomial model performance for the training set\n",
+ "RMSE of training set is 4.169326707780467\n",
+ "R2 score of training set is 0.7848107554125185\n"
+ ]
+ }
+ ],
+ "source": [
+ "rmse_train = np.sqrt(mean_squared_error(Y_train, y_train_predicted))\n",
+ "r2_train = r2_score(Y_train, y_train_predicted) \n",
+ "print(\"The polynomial model performance for the training set\")\n",
+ "print(\"RMSE of training set is {}\".format(rmse_train))\n",
+ "print(\"R2 score of training set is {}\".format(r2_train))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The polynomial model performance for the testing set\n",
+ "RMSE of testing set is 3.8889890611456277\n",
+ "R2 score of testing set is 0.8469631141782175\n"
+ ]
+ }
+ ],
+ "source": [
+ "rmse_test = np.sqrt(mean_squared_error(Y_test, y_test_predicted))\n",
+ "r2_test = r2_score(Y_test, y_test_predicted)\n",
+ "print(\"The polynomial model performance for the testing set\")\n",
+ "print(\"RMSE of testing set is {}\".format(rmse_test))\n",
+ "print(\"R2 score of testing set is {}\".format(r2_test))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(bn[\"lstat\"],bn[\"medv\"])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(bn[\"rm\"],bn[\"medv\"])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(bn[\"crim\"],bn[\"medv\"])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(bn[\"nox\"],bn[\"medv\"])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(Y_train, y_train_predicted, alpha=0.4)\n",
+ "sns.regplot(Y_test, y_test_predicted, scatter_kws={'s': 20, 'alpha':0.4}, line_kws={'color':'green', 'linewidth': 2}, order=2)\n",
+ "plt.xlabel(\"Actual Prices\")\n",
+ "plt.ylabel(\"Predicted prices\")\n",
+ "plt.title(\"Actual Prices vs Predicted price [Training Set]\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(Y_test, y_test_predicted, alpha=0.4)\n",
+ "sns.regplot(Y_test, y_test_predicted, scatter_kws={'s': 20, 'alpha':0.3}, line_kws={'color':'green', 'linewidth': 2}, order=2)\n",
+ "plt.xlabel(\"Actual Prices\")\n",
+ "plt.ylabel(\"Predicted prices\")\n",
+ "plt.title(\"Actual Prices vs Predicted price [Testing Set]\")\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": "3.7.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}