6. Health Insurance: Administrative Cost The following data are based on information 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. x 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 Σx = 135, Σx² = 7133, y = 148, Σy² = 4674, and Exy=3040. Computer. 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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6. Health Insurance: Administrative Cost The following data are based on information
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.
x
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 Σx = 135, Σx² = 7133, y = 148, Σy² = 4674, and
Exy=3040. Computer. 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:6. Health Insurance: Administrative Cost The following data are based on information 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. x 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 Σx = 135, Σx² = 7133, y = 148, Σy² = 4674, and Exy=3040. Computer. 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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