In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.245 0.253 0.286 0.263 0.268 0.339 0.299 y 1.5 3.9 5.5 3.8 3.5 7.3 5.0 Use a calculator to verify that Σx = 1.953, Σx2 = 0.551, Σy = 30.5, Σy2 = 152.69 and Σxy = 8.834.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information.

x 0.245 0.253 0.286 0.263 0.268 0.339 0.299
y 1.5 3.9 5.5 3.8 3.5 7.3 5.0
Use a calculator to verify that Σx = 1.953, Σx2 = 0.551, Σy = 30.5, Σy2 = 152.69 and Σxy = 8.834.

 

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