diff --git a/feature_engineering/feature_engineering.ipynb b/feature_engineering/feature_engineering.ipynb index 1e7b7470..ba202b59 100644 --- a/feature_engineering/feature_engineering.ipynb +++ b/feature_engineering/feature_engineering.ipynb @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -155,7 +155,7 @@ "5 3650.0 Male " ] }, - "execution_count": 57, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -211,15 +211,15 @@ "There are three operations we need to perform here: multiplying matrices, taking transposes, and finding inverses. \n", "\n", "* To perform matrix multiplication, use the `@` operator\n", - "* To take a transpose, call the `.T` attribute of an NumPy array or `DataFrame`\n", - "* To compute an inverse, use NumPy's in-built method `np.linalg.inv`\n", + "* To take a transpose, call the `.T` attribute of an `NumPy` array or `DataFrame`\n", + "* To compute an inverse, use `NumPy`'s in-built method `np.linalg.inv`\n", "\n", "Putting this all together, we can compute the OLS estimate for the optimal model parameters, stored in the array `theta_hat`." ] }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -230,7 +230,7 @@ " [1.47749591e-03]])" ] }, - "execution_count": 59, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -252,7 +252,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -313,7 +313,7 @@ "4 18.263268" ] }, - "execution_count": 60, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -381,7 +381,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -398,26 +398,23 @@ "\n", "Before the model can make predictions, we will need to fit it to our training data. When we fit the model, `sklearn` will run gradient descent behind the scenes to determine the optimal model parameters. It will then save these model parameters to our model instance for future use. \n", "\n", - "All `sklearn` model classes include a `.fit` method, which is used to fit the model. It takes in two inputs: the design matrix, `X`, and the target variable, `y`. \n", + "All `sklearn` model classes include a `.fit` method, which is used to fit the model. It takes in two inputs: the design matrix, `X`, and the target variable, `Y`. \n", "\n", "Let's start by fitting a model with just one feature: the flipper length. We create a design matrix `X` by pulling out the `\"flipper_length_mm\"` column from the `DataFrame`. " ] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 17, "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": 62, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -425,9 +422,9 @@ "source": [ "# .fit expects a 2D data design matrix, so we use double brackets to extract a DataFrame\n", "X = penguins[[\"flipper_length_mm\"]]\n", - "y = penguins[\"bill_depth_mm\"]\n", + "Y = penguins[\"bill_depth_mm\"]\n", "\n", - "my_model.fit(X, y)" + "my_model.fit(X, Y)" ] }, { @@ -448,16 +445,16 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "7.297305899612306" + "7.29730589961231" ] }, - "execution_count": 63, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -469,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -478,7 +475,7 @@ "array([0.05812622])" ] }, - "execution_count": 64, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -501,21 +498,21 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The RMSE of the model is 1.1549363099239012\n" + "The RMSE of the model is 1.154936309923901\n" ] } ], "source": [ - "y_hat_one_feature = my_model.predict(penguins[[\"flipper_length_mm\"]])\n", + "Y_hat_one_feature = my_model.predict(penguins[[\"flipper_length_mm\"]])\n", "\n", - "print(f\"The RMSE of the model is {np.sqrt(np.mean((y-y_hat_one_feature)**2))}\")" + "print(f\"The RMSE of the model is {np.sqrt(np.mean((Y-Y_hat_one_feature)**2))}\")" ] }, { @@ -531,14 +528,14 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The RMSE of the model is 0.9881331104079044\n" + "The RMSE of the model is 0.9881331104079043\n" ] } ], @@ -548,14 +545,14 @@ "\n", "# Step 2: fit the model\n", "X_two_features = penguins[[\"flipper_length_mm\", \"body_mass_g\"]]\n", - "y = penguins[\"bill_depth_mm\"]\n", + "Y = penguins[\"bill_depth_mm\"]\n", "\n", - "two_feature_model.fit(X_two_features, y)\n", + "two_feature_model.fit(X_two_features, Y)\n", "\n", "# Step 3: make predictions\n", - "y_hat_two_features = two_feature_model.predict(X_two_features)\n", + "Y_hat_two_features = two_feature_model.predict(X_two_features)\n", "\n", - "print(f\"The RMSE of the model is {np.sqrt(np.mean((y-y_hat_two_features)**2))}\")" + "print(f\"The RMSE of the model is {np.sqrt(np.mean((Y-Y_hat_two_features)**2))}\")" ] }, { @@ -567,81 +564,24 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 22, "metadata": {}, "outputs": [ { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " Y_hat from OLS Y_hat from sklearn\n", - "0 18.322561 18.322561\n", - "1 18.445578 18.445578\n", - "2 17.721412 17.721412\n", - "3 17.997254 17.997254\n", - "4 18.263268 18.263268" - ] - }, - "execution_count": 67, - "metadata": {}, - "output_type": "execute_result" + "ename": "NameError", + "evalue": "name 'Y_hat' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32mc:\\Users\\yashd\\OneDrive\\Documents\\course-notes\\feature_engineering\\feature_engineering.ipynb Cell 22\u001b[0m line \u001b[0;36m2\n\u001b[0;32m 1\u001b[0m \u001b[39m#| code-fold: true\u001b[39;00m\n\u001b[1;32m----> 2\u001b[0m pd\u001b[39m.\u001b[39mDataFrame({\u001b[39m\"\u001b[39m\u001b[39mY_hat from OLS\u001b[39m\u001b[39m\"\u001b[39m:np\u001b[39m.\u001b[39msqueeze(Y_hat), \u001b[39m\"\u001b[39m\u001b[39mY_hat from sklearn\u001b[39m\u001b[39m\"\u001b[39m:Y_hat_two_features})\u001b[39m.\u001b[39mhead()\n", + "\u001b[1;31mNameError\u001b[0m: name 'Y_hat' is not defined" + ] } ], "source": [ "#| code-fold: true\n", - "pd.DataFrame({\"Y_hat from OLS\":np.squeeze(y_hat), \"Y_hat from sklearn\":y_hat_two_features}).head()" + "pd.DataFrame({\"Y_hat from OLS\":np.squeeze(Y_hat), \"Y_hat from sklearn\":Y_hat_two_features}).head()" ] }, { @@ -693,7 +633,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -790,7 +730,7 @@ "4 24.59 3.61 Female No Sun Dinner 4" ] }, - "execution_count": 83, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -819,7 +759,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -898,7 +838,7 @@ "4 0.0 0.0 1.0 0.0" ] }, - "execution_count": 84, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -942,7 +882,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -1015,7 +955,7 @@ "5 day_Thur 0.668294" ] }, - "execution_count": 85, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1063,7 +1003,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -1075,7 +1015,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -1090,10 +1030,10 @@ "vehicles = sns.load_dataset(\"mpg\").dropna().rename(columns = {\"horsepower\": \"hp\"}).sort_values(\"hp\")\n", "\n", "X = vehicles[[\"hp\"]]\n", - "y = vehicles[\"mpg\"]\n", + "Y = vehicles[\"mpg\"]\n", "\n", "hp_model = lm.LinearRegression()\n", - "hp_model.fit(X, y)\n", + "hp_model.fit(X, Y)\n", "hp_model_predictions = hp_model.predict(X)\n", "\n", "import matplotlib.pyplot as plt\n", @@ -1101,7 +1041,7 @@ "sns.scatterplot(data=vehicles, x=\"hp\", y=\"mpg\")\n", "plt.plot(vehicles[\"hp\"], hp_model_predictions, c=\"tab:red\");\n", "\n", - "print(f\"MSE of model with (hp) feature: {np.mean((y-hp_model_predictions)**2)}\")" + "print(f\"MSE of model with (hp) feature: {np.mean((Y-hp_model_predictions)**2)}\")" ] }, { @@ -1118,19 +1058,19 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "MSE of model with (hp^2) feature: 18.984768907617223\n" + "MSE of model with (hp^2) feature: 18.98476890761722\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -1146,13 +1086,13 @@ "\n", "# Use sklearn to fit the model\n", "hp2_model = lm.LinearRegression()\n", - "hp2_model.fit(X, y)\n", + "hp2_model.fit(X, Y)\n", "hp2_model_predictions = hp2_model.predict(X)\n", "\n", "sns.scatterplot(data=vehicles, x=\"hp\", y=\"mpg\")\n", "plt.plot(vehicles[\"hp\"], hp2_model_predictions, c=\"tab:red\");\n", "\n", - "print(f\"MSE of model with (hp^2) feature: {np.mean((y-hp2_model_predictions)**2)}\")" + "print(f\"MSE of model with (hp^2) feature: {np.mean((Y-hp2_model_predictions)**2)}\")" ] }, { @@ -1229,7 +1169,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.9.13" } }, "nbformat": 4,