Question

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 36 70
y 40 35 30 28 17

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

strong and negativestrong and positive     moderate and negativemoderate and positivelow and negativelow and positive


(c) Use a calculator to verify that Σx = 131, Σx2 = 6479, Σy = 150, Σy2 = 4798, and Σxy = 3013. 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 increase as x increases.Given our value of r, y should tend to decrease as x increases.

Homework Answers

Answer #1

Solution :

X Y XY X^2 Y^2
3 40 120 9 1600
7 35 245 49 1225
15 30 450 225 900
36 28 1008 1296 784
70 17 1190 4900 289
n 5
sum(XY) 3013.00
sum(X) 131.00
sum(Y) 150.00
sum(X^2) 6479.00
sum(Y^2) 4798.00
Numerator -4585.00
Denominator 4764.31
r -0.9624
r square 0.9261
Xbar(mean) 26.2000
Ybar(mean) 30.0000
SD(X) 24.6852
SD(Y) 7.7201
b -0.3010
a 37.8855

(b)

strong and negative

(c)

r = -0.962

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

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