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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