Consider the data introduced in Exercise 1.45 on the time (in minutes) it took to play a sample of Major League Baseball games. The datafile BaseballTimes2017 contains four quantitative variables (Runs, Margin, Pitchers, and Attendance) that might be useful in predicting the game times (Time). From among these four predictors choose a model for each of the goals below.

a. Maximize the coefficient of determination,R^2

b. Maximize the adjusted R^2

c. Minimize Mallowss, Cp

d. After considering the models in (ac), what model would you choose to predict baseball game times? Explain your choice.

TABLE 1.6 Major League Baseball game times Game League Runs Margin Pitchers Attendance Time CHC-ARI NL 11 5 10 39131 203 KCR-CHW AL 9 3 7 18137 169 MIN-DET AL 13 5 10 29733 201 SDP-LAD NL 7 1 6 52898 179 COL-MIA NL 9 3 10 20096 204 CIN-MIL NL 21 1 10 34517 235 BOS-NYY AL 9 9 1 00 8 46509 220 BAL-OAK AL 9 1 00 8 14330 168 NYM-PHI NL 13 1 11 26925 205 LAA-SEA AL 11 1 9 38206 184 ATL-STL NL 13 3 10 41928 188 CLE-TBR AL 5 5 6 16794 164 HOU-TEX AL 10 2. 7 33897 202 PIT-TOR IL 6 2 35965 161 TABLE 1.6 Major League Baseball game times Game League Runs Margin Pitchers Attendance Time CHC-ARI NL 11 5 10 39131 203 KCR-CHW AL 9 3 7 18137 169 MIN-DET AL 13 5 10 29733 201 SDP-LAD NL 7 1 6 52898 179 COL-MIA NL 9 3 10 20096 204 CIN-MIL NL 21 1 10 34517 235 BOS-NYY AL 9 9 1 00 8 46509 220 BAL-OAK AL 9 1 00 8 14330 168 NYM-PHI NL 13 1 11 26925 205 LAA-SEA AL 11 1 9 38206 184 ATL-STL NL 13 3 10 41928 188 CLE-TBR AL 5 5 6 16794 164 HOU-TEX AL 10 2. 7 33897 202 PIT-TOR IL 6 2 35965 161