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 percentag runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.251 y 1.1 0.286 0.263 3.8 0.249 0.268 0.339 7.3 0.299 3.3 5.5 3.5 5.0 n USE SALT (a) Make a scatter diagram of the data. 0.34 0.34. 0.32 0.32 2 0.30 0.30 0.28 0.28 0.26 0.26 0.26 0.28 0.30 0.32 0.34 1 3 4 6. 1 4 5. 6. x (batting average) x (batting average) x (batting average) y (home run percentage)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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U.28
U.28
0.26
0.26
0.26
0.28
0.30
0.32
0.34
1
2
3
4 5 6 7
1
2
4
5 6 7
x (batting average)
x (batting average)
x (batting average)
6
0.26
0.28
0.30
0.32
0.34
x (batting average)
(b) Use a calculator to verify that Ex
1.955, Σχ-0.552, Σy-29.5, Σy
= 147.33 and Exy = 8.578.
%3D
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 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.
Given our value of r, y should tend to decrease as x increases.
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y (home
3,
y (home run percentage)
4)
2.
3.
2.
y(home
y (home
Transcribed Image Text:U.28 U.28 0.26 0.26 0.26 0.28 0.30 0.32 0.34 1 2 3 4 5 6 7 1 2 4 5 6 7 x (batting average) x (batting average) x (batting average) 6 0.26 0.28 0.30 0.32 0.34 x (batting average) (b) Use a calculator to verify that Ex 1.955, Σχ-0.552, Σy-29.5, Σy = 147.33 and Exy = 8.578. %3D 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 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. Given our value of r, y should tend to decrease as x increases. Need Help? Read It Watch It y (home 3, y (home run percentage) 4) 2. 3. 2. y(home y (home
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.
%3D
0.251
0.249
0.286
0.263
0.268
0.339
0.299
1.1
3.3
5.5
3.8
3.5
7.3
5.0
A 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
0.26
0.28
0.30
0.32
0.34
1
2
3 4
7
1
3
4
5 6 7
x (batting average)
x (batting average)
x (batting average)
0.26
0.28
0.30
0.32
0.34
x (batting average)
(b) Use a calculator to verify that Ex = 1.955, Ex = 0.552, Ey
29.5, Ey = 147.33 and Exy 8.578.
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 ou
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.
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. %3D 0.251 0.249 0.286 0.263 0.268 0.339 0.299 1.1 3.3 5.5 3.8 3.5 7.3 5.0 A 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 0.26 0.28 0.30 0.32 0.34 1 2 3 4 7 1 3 4 5 6 7 x (batting average) x (batting average) x (batting average) 0.26 0.28 0.30 0.32 0.34 x (batting average) (b) Use a calculator to verify that Ex = 1.955, Ex = 0.552, Ey 29.5, Ey = 147.33 and Exy 8.578. 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 ou 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. y (home run percentage)
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