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pla gav 0.251 0.263 0.239 1.0 0.299 5.0 0.286 0.268 0.339 3.3 5.5 3.8 3.5 7.3 USE SALT catter diagram of the data. O 0.34 .

pla gav 0.251 0.263 0.239 1.0 0.299 5.0 0.286 0.268 0.339 3.3 5.5 3.8 3.5 7.3 USE SALT catter diagram of the data. O 0.34 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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. 0.239 1.0 3.3 0.251 0.286 0.263 0.268 0.339 0.299 5.5 3.8 3.5 7.3 5.0 n USE SALT (a) Make a scatter diagram of the data. 0.34 0.34 0.32 0.32 0.30 0.30 0.28 0.28 0.26 0.26 > 0.24 > 0.24 1 2 3 4 5 6 7 1 2 4 5 6 7 x (batting average) x (batting average) 0.24 0.26 0.28 0.30 0.32 0.34 0.24 0.26 0.28 0.30 0.32 0.34 x (batting average) x (batting average) (b) Use a calculator to verify that Ex = 1.945, Ex² = 0.547, Ey = 29.4, Ey² = 147.12 and Exy = 8.547. Compute r. (Round your answer to four 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 increase as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. y (home run percentage) y (home run percentage) y(home run percentage) y (home run percentage)
Transcribed Image Text: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. 0.239 1.0 3.3 0.251 0.286 0.263 0.268 0.339 0.299 5.5 3.8 3.5 7.3 5.0 n USE SALT (a) Make a scatter diagram of the data. 0.34 0.34 0.32 0.32 0.30 0.30 0.28 0.28 0.26 0.26 > 0.24 > 0.24 1 2 3 4 5 6 7 1 2 4 5 6 7 x (batting average) x (batting average) 0.24 0.26 0.28 0.30 0.32 0.34 0.24 0.26 0.28 0.30 0.32 0.34 x (batting average) x (batting average) (b) Use a calculator to verify that Ex = 1.945, Ex² = 0.547, Ey = 29.4, Ey² = 147.12 and Exy = 8.547. Compute r. (Round your answer to four 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 increase as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. y (home run percentage) y (home run percentage) y(home run percentage) y (home run percentage)
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