In baseball, is there a linear correlation between batting average and home run percentage? Letxrepresent the batting average of a professional baseball player, and letyrepresent the player's home run percentage (number of home runs per 100 times at bat). A random sample ofn= 7 professional baseball players gave the following information.x0.2450.2550.2860.2630.2680.3390.299y1.63.95.53.83.57.35.0

(a) Make a scatter diagram of the data.

(b) Use a calculator to verify thatx=1.955,x²=0.552,y=30.6,y²=153.00andxy=8.867.

Computer. (Round your answer to three decimal places.)

Asxincreases, does the value ofrimply thatyshould tend to increase or decrease? Explain your answer.

Given our value ofr,yshould tend to remain constant asxincreases.

Given our value ofr, we can not draw any conclusions for the behavior ofyasxincreases.

Given our value ofr,yshould tend to increase asxincreases.

Given our value ofr,yshould tend to decrease asxincreases.