Data on the number of home runs, strikeouts, and batting averages for a sample of 50 Major

Question:

Data on the number of home runs, strikeouts, and batting averages for a sample of 50 Major League Baseball players were obtained. Regression analyses were conducted on the relationships between home runs and strikeouts and between home runs and batting averages. The StatCrunch results are shown below.

Simple linear regression results:
Dependent Variable: Home Runs
Independent Variable: Strikeouts
Home Runs = 0.092770565 + 0.22866236 Strikeouts
Sample size: 50
R (correlation coefficient) = 0.63591835
R-sq = 0.40439215
Estimate of error standard deviation: 8.7661607

Simple linear regression results:
Dependent Variable: Home Runs
Independent Variable: Batting Average
Home Runs = 45.463921 – 71.232795 Batting Average
Sample size: 50
R (correlation coefficient) = –0.093683651
R-sq = 0.0087766264
Estimate of error standard deviation: 11.30876

Based on this sample, is there a stronger association between home runs and strikeouts or home runs and batting average? Provide a reason for your choice based on the StatCrunch results provided.

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Related Book For  book-img-for-question

Introductory Statistics Exploring The World Through Data

ISBN: 9780135163146

3rd Edition

Authors: Robert Gould, Rebecca Wong, Colleen N. Ryan

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