Find the most powerful predictor among the six independent variables using regression.
Make a regression model to predict winning percentage using all of the following data (BATTING through SAVES).
|
TEAM
|
WINNING %
|
PAYROLL
|
BATTING
|
HR
|
RUNS
|
RBI
|
ERA
|
SAVES
|
|
Anaheim
|
0.432
|
51,340,297
|
0.256
|
158
|
711
|
673
|
4.79
|
37
|
|
Arizona
|
0.617
|
70,046,818
|
0.277
|
216
|
908
|
865
|
3.77
|
42
|
|
Atlanta
|
0.636
|
79,256,599
|
0.266
|
197
|
840
|
791
|
3.65
|
45
|
|
Baltimore
|
0.481
|
75,443,363
|
0.279
|
203
|
851
|
804
|
4.77
|
33
|
|
Boston
|
0.58
|
72,330,656
|
0.278
|
176
|
836
|
808
|
4
|
50
|
|
Chicago White Sox
|
0.466
|
24,535,000
|
0.277
|
162
|
777
|
742
|
4.92
|
39
|
|
Chicago Cubs
|
0.414
|
55,419,648
|
0.257
|
189
|
747
|
717
|
5.27
|
32
|
|
Cincinnati
|
0.589
|
38,031,285
|
0.272
|
209
|
865
|
820
|
3.99
|
55
|
|
Cleveland
|
0.599
|
73,531,692
|
0.289
|
209
|
1009
|
960
|
4.91
|
46
|
|
Colorado
|
0.444
|
54,367,504
|
0.288
|
223
|
906
|
863
|
6.03
|
33
|
|
Detroit
|
0.429
|
36,954,666
|
0.261
|
212
|
747
|
704
|
5.22
|
33
|
|
Florida
|
0.395
|
14,650,000
|
0.263
|
128
|
691
|
655
|
4.9
|
33
|
|
Houston
|
0.599
|
56,389,000
|
0.267
|
168
|
823
|
784
|
3.84
|
48
|
|
Kansas City
|
0.398
|
16,557,000
|
0.282
|
151
|
856
|
800
|
5.35
|
29
|
|
Los Angeles
|
0.475
|
76,607,247
|
0.266
|
187
|
793
|
761
|
4.45
|
37
|
|
Milwaukee
|
0.46
|
42,976,575
|
0.273
|
165
|
815
|
777
|
5.08
|
40
|
|
Minnesota
|
0.394
|
15,845,000
|
0.264
|
105
|
686
|
643
|
5.03
|
34
|
|
Montreal
|
0.42
|
15,015,250
|
0.265
|
163
|
718
|
680
|
4.69
|
44
|
|
New York Yankees
|
0.605
|
91,990,955
|
0.282
|
193
|
900
|
855
|
4.16
|
50
|
|
New York Mets
|
0.595
|
71,510,523
|
0.279
|
181
|
853
|
814
|
4.27
|
49
|
|
Oakland
|
0.537
|
25,208,858
|
0.259
|
235
|
893
|
845
|
4.76
|
48
|
|
Philadelphia
|
0.475
|
30,441,500
|
0.275
|
161
|
841
|
797
|
4.93
|
32
|
|
Pittsburgh
|
0.484
|
23,682,420
|
0.259
|
171
|
775
|
735
|
4.35
|
34
|
|
San Diego
|
0.457
|
46,507,179
|
0.252
|
153
|
710
|
671
|
4.47
|
43
|
|
Seattle
|
0.488
|
45,351,254
|
0.269
|
244
|
859
|
825
|
5.25
|
40
|
|
San Francisco
|
0.531
|
45,991,934
|
0.271
|
188
|
872
|
828
|
4.71
|
42
|
|
St. Louis
|
0.466
|
46,337,129
|
0.262
|
194
|
809
|
763
|
4.76
|
38
|
|
Tampa Bay
|
0.426
|
37,860,451
|
0.274
|
145
|
772
|
728
|
5.06
|
45
|
|
Texas
|
0.586
|
80,801,598
|
0.293
|
230
|
945
|
897
|
5.07
|
47
|
|
Toronto
|
0.519
|
48,847,300
|
0.280
|
212
|
883
|
856
|
4.93
|
39
|
Which independent variable is the most powerful predictor, using the p-value as a guide?
i. Payroll
ii. Saves
iii. Era
iv. Batting