Major League Baseball (MLB) pitching statistics were reported for a random sample of 20 pitchers from the American League for one full season.

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(a) An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average
number of home runs per inning pitched. What are the values of R and R,? (Round your answers to four decimal places.)
a
R2
%3D
(b) Does the estimated regression equation provide a good fit to the data? Explain.
Considering the nature of the data, being able to explain slightly ---sSelect---
O than 50% of the variability in the number of runs given up per inning pitched using just two independent variables
is
---Select---
(c) Suppose the earned run average (ERA) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. Does the
estimated regression equation that uses the ERA provide a good fit to the data? Explain.
Since
---Select--- than 50% of the variability in the ERA can be explained by the linear effect of home runs per inning pitched (HR/IP) and strike-outs per inning pitched (SO/IP), this is
---Select--
O considering the complexity of predicting pitching performance.
Submit Answor
Transcribed Image Text:(a) An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average number of home runs per inning pitched. What are the values of R and R,? (Round your answers to four decimal places.) a R2 %3D (b) Does the estimated regression equation provide a good fit to the data? Explain. Considering the nature of the data, being able to explain slightly ---sSelect--- O than 50% of the variability in the number of runs given up per inning pitched using just two independent variables is ---Select--- (c) Suppose the earned run average (ERA) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. Does the estimated regression equation that uses the ERA provide a good fit to the data? Explain. Since ---Select--- than 50% of the variability in the ERA can be explained by the linear effect of home runs per inning pitched (HR/IP) and strike-outs per inning pitched (SO/IP), this is ---Select-- O considering the complexity of predicting pitching performance. Submit Answor
Major League Baseball (MLB) pitching statistics were reported for a random sample of 20 pitchers from the American League for one full season.
Player
Team
W
L
ERA
so/IP
HR/IP R/IP
Verlander, J
DET
2.40
1.00
0.10
0.29
Beckett, J
BOS
13
7
2.89
0.91
0.11
0.34
Wilson, C
TEX
16
2.94
0.92
0.07
0.40
Sabathia, C
NYY
19
3.00
0.97
0.07
0.37
Haren, D
LAA
16
10
3.17
0.81
0.08
0.38
McCarthy, B
OAK
9.
3.32
0.72
0.06
0.43
Santana, E
LAA
11
12
3.38
0.78
0.11
0.42
Lester, J
BOS
15
9
3.47
0.95
0.10
0.40
Hernandez, F
SEA
14
14
3.47
0.95
0.08
0.42
Buehrle, M
CWS
13
3.59
0.53
0.10
0.45
Pineda, M
SEA
9
10
3.74
1.01
0.11
0.44
Colon, B
NYY
8
10
4.00
0.82
0.13
0.52
Tomlin, J
CLE
12
7
4.25
0.54
0.15
0.48
Pavano, C
MIN
9.
13
4.30
0.46
0.10
0.55
Danks, J
CWS
8
12
4.33
0.79
0.11
0.52
Guthrie, J
BAL
9.
17
4.33
0.63
0.13
0.54
Lewis, C
TEX
14
10
4.40
0.84
0.17
0.51
Scherzer, M
DET
15
4.43
0.89
0.15
0.52
Davis, W
ТВ
11
10
4.45
0.57
0.13
0.52
Porcello, R
DET
14
9.
4.75
0.57
0.10
0.57
(a) An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average
24
Transcribed Image Text:Major League Baseball (MLB) pitching statistics were reported for a random sample of 20 pitchers from the American League for one full season. Player Team W L ERA so/IP HR/IP R/IP Verlander, J DET 2.40 1.00 0.10 0.29 Beckett, J BOS 13 7 2.89 0.91 0.11 0.34 Wilson, C TEX 16 2.94 0.92 0.07 0.40 Sabathia, C NYY 19 3.00 0.97 0.07 0.37 Haren, D LAA 16 10 3.17 0.81 0.08 0.38 McCarthy, B OAK 9. 3.32 0.72 0.06 0.43 Santana, E LAA 11 12 3.38 0.78 0.11 0.42 Lester, J BOS 15 9 3.47 0.95 0.10 0.40 Hernandez, F SEA 14 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 10 4.00 0.82 0.13 0.52 Tomlin, J CLE 12 7 4.25 0.54 0.15 0.48 Pavano, C MIN 9. 13 4.30 0.46 0.10 0.55 Danks, J CWS 8 12 4.33 0.79 0.11 0.52 Guthrie, J BAL 9. 17 4.33 0.63 0.13 0.54 Lewis, C TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 4.43 0.89 0.15 0.52 Davis, W ТВ 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 14 9. 4.75 0.57 0.10 0.57 (a) An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average 24
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