16. Cindy Lawson just bought a major league baseball team. She has been receiving a lot of advice about what she should do to create a winning ball club. Cindy asks you to study this problem and write a report.You decide to use multiple regression analysis to determine which statistics are important in developing a winning team (measured by the number of games won during the 1991 season). You gather data for six statistics from the Sporting News 1992 Baseball Yearbook, as shown in Table P-16, and run TABLE P-16 Team Wins ERA SO BA Runs HR SB Giants 75 4.03 905 .246 649 141 95 Mets 77 3.56 1,028 .244 640 117 153 Cubs 77 4.03 927 .253 695 159 123 Reds 74 3.83 997 .258 689 164 124 Pirates 98 3.44 919 .263 768 126 124 Cardinals 84 3.69 822 .255 651 68 202 Phillies 78 3.86 988 .241 629 111 92 Astros 65 4.00 1,033 .244 605 79 125 Dodgers 93 3.06 1,028 .253 665 108 126 Expos 71 3.64 909 .246 579 95 221 Braves 94 3.49 969 .258 749 141 165 Padres 84 3.57 921 .244 636 121 101 Red Sox 84 4.01 999 .269 731 126 59 White Sox 87 3.79 923 .262 758 139 134 Yankees 71 4.42 936 .256 674 147 109 Tigers 84 4.51 739 .247 817 209 109 Orioles 67 4.59 868 .254 686 170 50 Brewers 83 4.14 859 .271 799 116 106 Indians 57 4.23 862 .254 576 79 84 Blue Jays 91 3.50 971 .257 684 133 148 Mariners 83 3.79 1,003 .255 702 126 97 Rangers 85 4.47 1,022 .270 829 177 102 Athletics 84 4.57 892 .248 760 159 151 Royals 82 3.92 1,004 .264 727 117 119 Angels 81 3.69 990 .255 653 115 94 Twins 95 3.69 876 .280 776 140 107 a stepwise regression program, assuming a multiple regression model with “Wins” as the dependent variable.

a. Discuss the importance of each independent variable.

b. What equation should Cindy use to forecast wins?

c. Write a report for Cindy.

d. Collect data from the most recent Sporting News Baseball Yearbook or other source of baseball statistics. Run a stepwise regression, and compare your results.