2:4-31 The number of victories (W), earned run average (ERA), runs scored (R), batting average (AVG), and on-base percentage (OBP) for each team in the American League in the 2012 season are provided in the following table. The ERA is one measure of the effectiveness of the pitching staff, and a lower number is better. The other statistics are measures of the effectiveness of the hitters, and a higher number is better for each of these.

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2:4-31 The number of victories (W), earned run average
(ERA), runs scored (R), batting average (AVG),
and on-base percentage (OBP) for each team in the
American League in the 2012 season are provided
in the following table. The ERA is one measure of
the effectiveness of the pitching staff, and a lower
number is better. The other statistics are measures of
the effectiveness of the hitters, and a higher number
is better for each of these.
Transcribed Image Text:2:4-31 The number of victories (W), earned run average (ERA), runs scored (R), batting average (AVG), and on-base percentage (OBP) for each team in the American League in the 2012 season are provided in the following table. The ERA is one measure of the effectiveness of the pitching staff, and a lower number is better. The other statistics are measures of the effectiveness of the hitters, and a higher number is better for each of these.
DISCUSSION QUESTIONS AND PROBLEMS
161
TEAM
W
ERA
AVG
ОВР
Baltimore Orioles
93
3.90
712
0.247
0.311
Boston Red Sox
69
4.70
734
0.260
0.315
Chicago White Sox
85
4.02
748
0.255
0.318
Cleveland Indians
68 4.78 667 0.251
0.324
Detroit Tigers
88 3.75 726 0.268 0.335
Kansas City Royals
72 4.30 676 0.265 0.317
Los Angeles Angels
89 4.02 767 0.274 0.332
Minnesota Twins
66 4.77 701 0.260
0.325
New York Yankees
95 3.85 804
0.265
0.337
Oakland Athletics
94
3.48
713 0.238
0.310
Seattle Mariners
75 3.76 619 0.234
0.296
Tampa Bay Rays
90 3.19 697
0.240
0.317
Texas Rangers
93
3.99
808
0.273 0.334
Toronto Blue Jays 73 4.64 716
0.245 0.309
(a) Develop a regression model that could be used to
predict the number of victories based on the ERA.
(b) Develop a regression model that could be used
to predict the number of victories based on the
runs scored.
(c) Develop a regression model that could be used
to predict the number of victories based on the
batting average.
(d) Develop a regression model that could be used
to predict the number of victories based on the
on-base percentage.
(e) Which of the four models is better for predicting
the number of victories?
(f) Find the best multiple regression model to pre-
dict the number of wins. Use any combination of
the variables to find the best model.
Transcribed Image Text:DISCUSSION QUESTIONS AND PROBLEMS 161 TEAM W ERA AVG ОВР Baltimore Orioles 93 3.90 712 0.247 0.311 Boston Red Sox 69 4.70 734 0.260 0.315 Chicago White Sox 85 4.02 748 0.255 0.318 Cleveland Indians 68 4.78 667 0.251 0.324 Detroit Tigers 88 3.75 726 0.268 0.335 Kansas City Royals 72 4.30 676 0.265 0.317 Los Angeles Angels 89 4.02 767 0.274 0.332 Minnesota Twins 66 4.77 701 0.260 0.325 New York Yankees 95 3.85 804 0.265 0.337 Oakland Athletics 94 3.48 713 0.238 0.310 Seattle Mariners 75 3.76 619 0.234 0.296 Tampa Bay Rays 90 3.19 697 0.240 0.317 Texas Rangers 93 3.99 808 0.273 0.334 Toronto Blue Jays 73 4.64 716 0.245 0.309 (a) Develop a regression model that could be used to predict the number of victories based on the ERA. (b) Develop a regression model that could be used to predict the number of victories based on the runs scored. (c) Develop a regression model that could be used to predict the number of victories based on the batting average. (d) Develop a regression model that could be used to predict the number of victories based on the on-base percentage. (e) Which of the four models is better for predicting the number of victories? (f) Find the best multiple regression model to pre- dict the number of wins. Use any combination of the variables to find the best model.
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