3.00 0.97 0.0 5 10 3.17 0.81 0.0 9 3.32 0.72 0.0 12 3.38 0.78 0.1 s93.47 0.95 0.10 14 3.47 0.95 0.0 3.59 0.53 0.10 10 3.74 1.01 0.1
3.00 0.97 0.0 5 10 3.17 0.81 0.0 9 3.32 0.72 0.0 12 3.38 0.78 0.1 s93.47 0.95 0.10 14 3.47 0.95 0.0 3.59 0.53 0.10 10 3.74 1.01 0.1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A statistical program is recommended.
Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.
Player
w L ERA
so/IP HR/IP R/IP
Team
Verlander, J
DET
24
5
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
7
2.94
0.92
0.07
0.40
Sabathia, C
NYY
19
8
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
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
9
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
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
9.
4.43
0.89
0.15
0.52
Davis, W
TB
11| 10 4.45
0.57
0.13
0.52
Porcello, R
DET
14
9
4.75
0.57
0.10
0.57
An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP).
R/IP = 0.5365 - 0.2483 SO/IP + 1.032 HR/IP

Transcribed Image Text:(a) Use the F test to determine the overall significance of the relationship.
State the null and alternative hypotheses.
O Ho: B1 = B2 = 0
H: All the parameters are not equal to zero.
O Ho: Bo = 0
H: Po * 0
O Ho: Po + 0
H: Bo = 0
O Hn: One or more of the parameters is not equal to zero.
H: B = B2 = 0
O Ho: B = B2 = 0
H: One or more of the parameters is not equal to zero.
Calculate the test statistic. (Round your answer to two decimal places.)
Calculate the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion at the 0.05 level of significance?
O Reject H.. There is insufficient evidence to conclude that there is a significant overall relationship.
O Do not reject H.. There is sufficient evidence to conclude that there is a significant overall relationship.
O Reject Ho. There is sufficient evidence to conclude that there is a significant overall relationship.
O Do not reject H,. There is insufficient evidence to conclude that there is a significant overall relationship.
(b) Use the t test to determine the significance of SO/IP.
State the null and alternative hypotheses.
O Ho: B, +0
H: B = 0
O H,: B, 2 0
H: B, < 0
O Ho: B, s0
H: B, > 0
O Ho: B = 0
H: B > 0
O Ho: B = 0
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