Health Insurance: Administrative Cost The following data are based on in- formation from Domestic Affairs. Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. 3 7 15 35 75 y 40 35 30 25 18 (a) Make a scatter diagram and draw the line you think best fits the data. (b) Would you say the correlation is low, moderate, or strong? positive or negative? (c) Use a calculator to verify that Ex = 135, Ex² = 7133, Ey = 148, Ey² = 4674, and Exy = 3040. Compute r. As x increases from 3 to 75, does the value of r imply that y should tend to increase or decrease? Explain.

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14. | Health Insurance: Administrative Cost The following data are based on in-
formation from Domestic Affairs. Let x be the average number of employees
in a group health insurance plan, and let y be the average administrative cost
as a percentage of claims.
3
7
15
35
75
y
40
35
30
25
18
(a) Make a scatter diagram and draw the line you think best fits the data.
(b) Would you say the correlation is low, moderate, or strong? positive or
negative?
(c) Use a calculator to verify that x = 135, Ex = 7133, Ey = 148,
Ey = 4674, and Exy = 3040. Compute r. As x increases from 3 to
75, does the value of r imply that y should tend to increase or decrease?
Explain.
Transcribed Image Text:14. | Health Insurance: Administrative Cost The following data are based on in- formation from Domestic Affairs. Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. 3 7 15 35 75 y 40 35 30 25 18 (a) Make a scatter diagram and draw the line you think best fits the data. (b) Would you say the correlation is low, moderate, or strong? positive or negative? (c) Use a calculator to verify that x = 135, Ex = 7133, Ey = 148, Ey = 4674, and Exy = 3040. Compute r. As x increases from 3 to 75, does the value of r imply that y should tend to increase or decrease? Explain.
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