Baseball: Batting Averages and Home Runs 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 5 7 professional baseball players gave the following information (Reference: The Baseball Encyclopedia, Macmillan Publishing Company).

x 0.243 0.259 0.286 0.263 0.268 0.339 0.299 y 1.4 3.6 5.5 3.8 3.5 7.3 5.0

(a) Make a scatter diagram and draw the line you think best fits the data.

(b) Would you say the correlation is low, moderate, or high? positive or negative?

(c) Use a calculator to verify that Sx 51.957, Sx2 < 0.553, Sy 5 30.1, Sy2 5150.15, and Sxy < 8.753. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.

AppendixLO1