Question

• 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 0.247 0.257 0.286 0.263 0.268 0.339 0.299

• y 1.5 3.0 5.5 3.8 3.5 7.3 5.0

• (a) Make a scatter diagram of the data.

b) Use a calculator to verify that Σx = 1.959, Σx2 = 0.554, Σy = 29.6, Σy2 = 146.48 and Σxy = 8.622.

Compute r. (Round your answer to three decimal places.)

As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.

Given our value of r, y should tend to decrease as x increases.

Given our value of r, y should tend to remain constant as x increases.    

Given our value of r, y should tend to increase as x increases.

Given our value of r, we can not draw any conclusions for the behavior of y as x increases.

Answer 1

scatter plot