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6. [-/0.33 Points] DETAILS BBUNDERSTAT12 9.1.017.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 yrepresent the player's home run percentage (number of home runs per 100 times at bat). A random sample of /= 7 professional baseball players gave the following information. 0.245 0.251 0.286 0.263 0.268 0.339 0.299 1,5 32 5.5 3.8 3.5 73 50 LO USE SALT (a) Make a scatter diagram of the data. 0.32 0.30 N W AU ON y (home run percentage) y (home run percentage) 0.28 0.26 0.24 2 3 4 5 6 0.26 0.28 0.30 0.32 0.34 O x (batting average) x (batting average) 0.34 0.32 y (home run percentage) y (home run percentage) 0.28 0.26 N 0.24WILL 0.26 0.28 0.30 0.32 0.34 2 3 4 5 7 O x (batting average) OO x (batting average) (b) Use a calculator to verify that Ex = 1.951, Ex- = 0.550, Ey= 29.8, Ey? = 147.72 and Exy= 8.651. Computer. (Round your answer to four decimal places.) As x increases, does the value of rimply 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, y should tend to increase as x increases. Given our value of r, we can not draw any conclusions for the behavior of yas x increases. O Given our value of r, yshould tend to decrease as x increases. Need Help? Read It Watch It