Question:
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 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?
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TABLE P-16 Team Giants Mets Cubs Reds Pirates Wins ERA SO BA Runs HR SB 75 403 905 246 649 14 95 77 3.56 1,028 244 640 17 153 77 4.03 927 253 695 159 123 74 3.83 997 258 69 164 124 98 3.44 919 263 768 126 124 Cardinals 84 3.69 822 255 65 68 202 78 3.86 988 241 629 92 65 4.00 1033 244 605 79 125 Dodgers 93 306 1,028 253 665 108 126 71 3.64 909 246 579 95 221 94 3.49 969 258 749 141 165 84 3.57 921 244 636 121 101 84 4.01 999 269 731 126 59 White Sox 87 3.79 923 262 758 139 134 Yankees 7 442 936 256 674 147 109 84 45 739 247 817 209 109 67 4.59 868 254 686 170 50 Brewers 83 4.14 859 271 799 116 106 57 4.23 862 254 576 79 84 Blue Jays 3.50 971 257 684 133 148 Mariners 83 3.79 1003 255 702 126 97 Rangers 85 .47 1,022 270 829 177 102 Athletics 84 .57 892 248 760 159 151 82 3.92 1,004 264 727 117 119 81 3.69 990255 653 115 94 95 3.69 876 280 776 140 107 Phillies Astros Expos Braves Padres Red Sox Orioles Indians Royals Angels Twins