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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.

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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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
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