From 778a6bc712733d4870cd6f9bb640f2b20c3c13b2 Mon Sep 17 00:00:00 2001 From: Kevin Li Date: Mon, 20 Oct 2025 19:30:12 -0400 Subject: [PATCH] Week 7 homework solution improvement --- .../Exercise-SOLUTION.ipynb | 126 +++++++++++++++--- 1 file changed, 106 insertions(+), 20 deletions(-) diff --git a/Week-07-Classification/Exercise-SOLUTION.ipynb b/Week-07-Classification/Exercise-SOLUTION.ipynb index 33ee0c72..67862e3e 100644 --- a/Week-07-Classification/Exercise-SOLUTION.ipynb +++ b/Week-07-Classification/Exercise-SOLUTION.ipynb @@ -46,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -360,7 +360,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -462,7 +462,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -792,7 +792,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -847,7 +847,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -883,7 +883,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -1574,7 +1574,7 @@ "LogisticRegression()" ] }, - "execution_count": 13, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -1597,7 +1597,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -1606,7 +1606,7 @@ "array([0, 0, 0, ..., 0, 0, 0], shape=(2000,))" ] }, - "execution_count": 14, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1627,7 +1627,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -1659,7 +1659,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -1668,13 +1668,13 @@ "Text(50.722222222222214, 0.5, 'Actual')" ] }, - "execution_count": 18, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -1702,7 +1702,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -1740,7 +1740,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -1759,7 +1759,7 @@ "Text(50.722222222222214, 0.5, 'Actual')" ] }, - "execution_count": 34, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, @@ -1815,7 +1815,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -1830,8 +1830,8 @@ "Dep. Variable: Placement No. Observations: 8000\n", "Model: Logit Df Residuals: 7991\n", "Method: MLE Df Model: 8\n", - "Date: Sun, 05 Oct 2025 Pseudo R-squ.: 0.5094\n", - "Time: 20:54:01 Log-Likelihood: -1763.4\n", + "Date: Mon, 20 Oct 2025 Pseudo R-squ.: 0.5094\n", + "Time: 19:23:37 Log-Likelihood: -1763.4\n", "converged: True LL-Null: -3594.3\n", "Covariance Type: nonrobust LLR p-value: 0.000\n", "==========================================================================================\n", @@ -1851,7 +1851,7 @@ "==========================================================================\n", "Model: Logit Method: MLE \n", "Dependent Variable: Placement Pseudo R-squared: 0.509 \n", - "Date: 2025-10-05 20:54 AIC: 3544.8193\n", + "Date: 2025-10-20 19:23 AIC: 3544.8193\n", "No. Observations: 8000 BIC: 3607.7041\n", "Df Model: 8 Log-Likelihood: -1763.4 \n", "Df Residuals: 7991 LL-Null: -3594.3 \n", @@ -1888,6 +1888,92 @@ "# Interpret the results.\n", "print(result.summary2())" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We didn’t really need *everything* did we? 😐\n", + "\n", + "Look at the `P>|z|` column. We could exclude some features that don’t help." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy Score: 1.000000\n", + "Precision Score: 1.000000\n", + "Recall Score: 1.000000\n", + "F1 Score 1.000000\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(50.722222222222214, 0.5, 'Actual')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Define the new X variable, and reuse the same y variable from before.\n", + "X = df[df.columns.drop(['IQ', 'CGPA', 'Communication_Skills', 'Projects_Completed'])]\n", + "\n", + "# Split our data into testing and training. Remember to use the same random state as you used before\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=RANDOM_STATE)\n", + "\n", + "# Initalize our model.\n", + "model = LogisticRegression(max_iter=1000)\n", + "\n", + "# Fit-train our model using our training data.\n", + "model.fit(X_train, y_train)\n", + "\n", + "# Make new predicitions using our testing data. \n", + "y_pred = model.predict(X_test)\n", + "\n", + "# Print each of our scores to inspect performance.\n", + "print(\"Accuracy Score: %f\" % accuracy_score(y_test, y_pred))\n", + "print(\"Precision Score: %f\" % precision_score(y_test, y_pred))\n", + "print(\"Recall Score: %f\" % recall_score(y_test, y_pred))\n", + "print('F1 Score %f' % f1_score(y_test, y_pred))\n", + "\n", + "# Plot the confusion matrix.\n", + "cm = confusion_matrix(y_test, y_pred).round(2)\n", + "ax = sns.heatmap(cm, annot=True, cmap='Greens', fmt='g')\n", + "plt.title(\"Confusion Matrix of Placed\")\n", + "plt.xlabel('Predicted')\n", + "plt.ylabel('Actual')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Well… 😮\n", + "\n", + "Looks like `IQ`, `CGPA`, `Communication_Skills`, and `Projects_Completed` predict `Placement` _perfectly_.\n", + "\n", + "However, remember that this is synthesized data. 😉 Don’t neglect internship and extracurricular experiences!" + ] } ], "metadata": {