We have two different methods to predict the college enrollments in a selected school. Given the predictive scores and real outcomes for each student, please plot the ROC curves for each method and compare the AUC values. Which predictive method is relatively better in terms of AUC value? Table 1: Predictive Scores for Collenge Enrollments Student Enrollment Decision Method 1 Method 2 1 Yes 0.99 0.85 2 No 0.90 0.70 3 Yes 0.90 0.73 4 Yes 0.86 0.65 5 No 0.85 0.78 6 No 0.70 0.55 1.00 - 0.75 - 0.50 - 0.25 ACE 0.00 1.00 0.75 0.50 - Partial ACF 0.25 0.00 0 5 10 15 20 lag 1.0 - 0.5 - ACF 0.0 -0.5 1.0 - 0.5 Partial ACF 0.0 -0.5 - 0 10 20 lag (b) 1.0 - 0.5 0.0 ACF 1 --- ------ ---L -0.5 - 1.0 - 0.5 - 0.0 Partial ACF -0.5 0 5 10 15 20 lag (C)