Problem 4: Compare AUC Across Different Feature Sets

Problem Description

Write a Python program that trains two Logistic Regression models — one using only 1 feature, one using 2 features — on the same dataset, and compares their AUC scores to see if the additional feature improves performance.

Input

A labeled dataset with 2 features.

Output

AUC scores for both models.

Constraints

• At least 10 labeled examples.

Example Input

text
(A labeled dataset with features "hours_studied" and "attendance")

Example Output

text
AUC with 1 feature: 0.85
AUC with 2 features: 0.93

Concepts Covered

roc_auc_score(), feature comparison.