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. 0.235 1.3 0.286 0.299 5.0 0.268 0.245 3.4 0.263 3.8 0.339 5.5 3.5 7.3 A USE SALT (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution OHele 024 025 026 027 028 0.29 03 031 032 033 WebAssign. Graphing Tool (b) Use a calculator to verify that Ex = 1.935, Ex² = 0.542, Ey = 29.8, Ey2 = 148.48 and Exy = 8.619. 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. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to increase 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.

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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.
0.235
0.245
0.286
0.263
0.268
0.339
0.299
1.3
3.4
5.5
3.8
3.5
7.3
5.0
A USE SALT
(a) Make a scatter diagram of the data.
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
Fill
No
Solution
2
OHelp
123
0.24
0.25
026
027
028
029
0.3
031
0.32 0.33
WebAssign. Graphing Tool
(b) Use a calculator to verify that Ex = 1.935, Ex² = 0.542, Ey = 29.8,
Ey2
= 148.48 and Exy = 8.619.
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.
O Given our value of r, y should tend to decrease as x increases.
O Given our value of r, y should tend to increase 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.
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. 0.235 0.245 0.286 0.263 0.268 0.339 0.299 1.3 3.4 5.5 3.8 3.5 7.3 5.0 A USE SALT (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution 2 OHelp 123 0.24 0.25 026 027 028 029 0.3 031 0.32 0.33 WebAssign. Graphing Tool (b) Use a calculator to verify that Ex = 1.935, Ex² = 0.542, Ey = 29.8, Ey2 = 148.48 and Exy = 8.619. 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. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to increase 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.
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