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 2450 2550 2860 2630 2680 3390 299 y 1 63 95 53 83 57 35 0 (a) Make a scatter diagram of the data (b) Use a calculator to verify that x 1 955, x 2 0 552, y 30 6, y 2 153 00and xy 8 867 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 remain constant as x increases Given our value of r , we can not draw any conclusions for the behavior of y as x increases Given our value of r , y should tend to increase as x increases Given our value of r , y should tend to decrease as x increases

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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,

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.

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