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 Team W L ERA SO/IP HR/IP R/IP 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 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 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 (a) Use the F test to determine the overall significance of the relationship. State the null and alternative hypotheses. H0: ?1 = ?2 = 0 Ha: All the parameters are not equal to zero.H0: ?0 ≠ 0 Ha: ?0 = 0 H0: One or more of the parameters is not equal to zero. Ha: ?1 = ?2 = 0H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 = ?2 = 0 Ha: 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? Do not reject H0. There is sufficient evidence to conclude that there is a significant overall relationship.Do not reject H0. There is insufficient evidence to conclude that there is a significant overall relationship. Reject H0. There is insufficient evidence to conclude that there is a significant overall relationship.Reject H0. There is sufficient 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. H0: ?1 ≤ 0 Ha: ?1 > 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 ≥ 0 Ha: ?1 < 0H0: ?1 = 0 Ha: ?1 > 0 Find the value of the test statistic for ?1. (Round your answer to two decimal places.) Find the p-value for ?1. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor. Use the t test to determine the significance of HR/IP. State the null and alternative hypotheses. H0: ?2 ≠ 0 Ha: ?2 = 0H0: ?2 = 0 Ha: ?2 > 0 H0: ?2 ≥ 0 Ha: ?2 < 0H0: ?2 ≤ 0 Ha: ?2 > 0H0: ?2 = 0 Ha: ?2 ≠ 0 Find the value of the test statistic for ?2. (Round your answer to two decimal places.) Find the p-value for ?2. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor
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 Team W L ERA SO/IP HR/IP R/IP 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 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 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 (a) Use the F test to determine the overall significance of the relationship. State the null and alternative hypotheses. H0: ?1 = ?2 = 0 Ha: All the parameters are not equal to zero.H0: ?0 ≠ 0 Ha: ?0 = 0 H0: One or more of the parameters is not equal to zero. Ha: ?1 = ?2 = 0H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 = ?2 = 0 Ha: 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? Do not reject H0. There is sufficient evidence to conclude that there is a significant overall relationship.Do not reject H0. There is insufficient evidence to conclude that there is a significant overall relationship. Reject H0. There is insufficient evidence to conclude that there is a significant overall relationship.Reject H0. There is sufficient 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. H0: ?1 ≤ 0 Ha: ?1 > 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 ≥ 0 Ha: ?1 < 0H0: ?1 = 0 Ha: ?1 > 0 Find the value of the test statistic for ?1. (Round your answer to two decimal places.) Find the p-value for ?1. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor. Use the t test to determine the significance of HR/IP. State the null and alternative hypotheses. H0: ?2 ≠ 0 Ha: ?2 = 0H0: ?2 = 0 Ha: ?2 > 0 H0: ?2 ≥ 0 Ha: ?2 < 0H0: ?2 ≤ 0 Ha: ?2 > 0H0: ?2 = 0 Ha: ?2 ≠ 0 Find the value of the test statistic for ?2. (Round your answer to two decimal places.) Find the p-value for ?2. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 | Team | W | L | ERA | SO/IP | HR/IP | R/IP |
|---|---|---|---|---|---|---|---|
| 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 | 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 | 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 |
(a)
Use the F test to determine the overall significance of the relationship.
State the null and alternative hypotheses.
H0: ?1 = ?2 = 0
Ha: All the parameters are not equal to zero.H0: ?0 ≠ 0
Ha: ?0 = 0 H0: One or more of the parameters is not equal to zero.
Ha: ?1 = ?2 = 0H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?1 = ?2 = 0
Ha: One or more of the parameters is not equal to zero.
Ha: All the parameters are not equal to zero.H0: ?0 ≠ 0
Ha: ?0 = 0 H0: One or more of the parameters is not equal to zero.
Ha: ?1 = ?2 = 0H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?1 = ?2 = 0
Ha: 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?
Do not reject H0. There is sufficient evidence to conclude that there is a significant overall relationship.Do not reject H0. There is insufficient evidence to conclude that there is a significant overall relationship. Reject H0. There is insufficient evidence to conclude that there is a significant overall relationship.Reject H0. There is sufficient 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.
H0: ?1 ≤ 0
Ha: ?1 > 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 ≥ 0
Ha: ?1 < 0H0: ?1 = 0
Ha: ?1 > 0
Ha: ?1 > 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 ≥ 0
Ha: ?1 < 0H0: ?1 = 0
Ha: ?1 > 0
Find the value of the test statistic for ?1. (Round your answer to two decimal places.)
Find the p-value for ?1. (Round your answer to three decimal places.)
p-value =
What is your conclusion at the 0.05 level of significance?
Do not reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that SO/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor.
Use the t test to determine the significance of HR/IP.
State the null and alternative hypotheses.
H0: ?2 ≠ 0
Ha: ?2 = 0H0: ?2 = 0
Ha: ?2 > 0 H0: ?2 ≥ 0
Ha: ?2 < 0H0: ?2 ≤ 0
Ha: ?2 > 0H0: ?2 = 0
Ha: ?2 ≠ 0
Ha: ?2 = 0H0: ?2 = 0
Ha: ?2 > 0 H0: ?2 ≥ 0
Ha: ?2 < 0H0: ?2 ≤ 0
Ha: ?2 > 0H0: ?2 = 0
Ha: ?2 ≠ 0
Find the value of the test statistic for ?2. (Round your answer to two decimal places.)
Find the p-value for ?2. (Round your answer to three decimal places.)
p-value =
What is your conclusion at the 0.05 level of significance?
Do not reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor.Do not reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman