Question

In: Statistics and Probability

Let x be the average number of employees in a group health insurance plan, and let...

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 38 71
y 40 35 30 26 17

(b) Would you say the correlation is low, moderate, or strong? positive or negative?

strong and negative

low and positive    

moderate and negative

low and negative

strong and positive

moderate and positive

(c) Use a calculator to verify that Σx = 134, Σx2 = 6768, Σy = 148, Σy2 = 4690, and Σxy = 3010. Compute r. (Round your answer to three decimal places.)
r =

As x increases, does the value of r imply that y should tend to increase or decrease? Explain.

Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.

Given our value of r, y should tend to remain constant as x increases.

  Given our value of r, y should tend to decrease as x increases.

Given our value of r, y should tend to increase as x increases.

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