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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
w L
Player
Тeam
W
ERA
So/IP
HR/IP
R/IP
Verlander, J
DET
24
2.40
1.00
0.10
0.29
Вeckett, 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
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
13 9
Buehrle, M
CWS
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
9.
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
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
15
Transcribed Image Text: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. w L Player Тeam W ERA So/IP HR/IP R/IP Verlander, J DET 24 2.40 1.00 0.10 0.29 Вeckett, 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 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 13 9 Buehrle, M CWS 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 9. 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 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 15
An estimatea regression equation was developed to predict the average number or runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitchea (SO/1P) and the
average number of home runs per inning pitched (HR/IP).
R/IP = 0.5365
0.2483 SO/IP + 1.032 HR/IP
(a) Use the F test to determine the overall significance of the relationship.
State the null and alternative hypotheses.
Ho: Bo
Ha: Bo + 0
= 0
Ho: One or more of the parameters is not equal to zero.
Hai B1 = B2 = 0
Ho: ß1 = B2 = 0
H: All the parameters are not equal to zero.
Hoi B1 = B2
H: One or more of the parameters is not equal to zero.
= 0
Ho: Po + 0
H: Bo
= 0
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?
Reject Ho. There is insufficient evidence to conclude that there is a significant overall relationship.
Do not reject Ho. There is insufficient evidence to conclude that there is a significant overall relationship.
Reject Ho. There is sufficient evidence to conclude that there is a significant overall relationship.
Do not reject Ho. There is sufficient evidence to conclude that there is a significant overall relationship.
O O O
Transcribed Image Text:An estimatea regression equation was developed to predict the average number or runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitchea (SO/1P) and the average number of home runs per inning pitched (HR/IP). R/IP = 0.5365 0.2483 SO/IP + 1.032 HR/IP (a) Use the F test to determine the overall significance of the relationship. State the null and alternative hypotheses. Ho: Bo Ha: Bo + 0 = 0 Ho: One or more of the parameters is not equal to zero. Hai B1 = B2 = 0 Ho: ß1 = B2 = 0 H: All the parameters are not equal to zero. Hoi B1 = B2 H: One or more of the parameters is not equal to zero. = 0 Ho: Po + 0 H: Bo = 0 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? Reject Ho. There is insufficient evidence to conclude that there is a significant overall relationship. Do not reject Ho. There is insufficient evidence to conclude that there is a significant overall relationship. Reject Ho. There is sufficient evidence to conclude that there is a significant overall relationship. Do not reject Ho. There is sufficient evidence to conclude that there is a significant overall relationship. O O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman