For a sample of eight bears, researchers measured the distances around the bears

Question

For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is

requals=0.741.

Using

alphaequals=0.05,

determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

Click here to view a table of critical values for the correlation coefficient.

a. Is there a linear correlation between chest size and weight?

A.

Yes, because the test statistic falls between the critical values of

0.707

and 0.707.

B.

No, because the absolute value of the test statistic exceeds the critical value

of 0.707.

C.

Yes, because the absolute value of the test statistic exceeds the critical value

of 0.707.

D.

The answer cannot be determined from the given information.

Explanation / Answer

Given,

Linear correlation coefficient = 0.741

This value is greater than 0.707. So,

Yes, there would be a linear correlation between chest size and weight because the absolute value of the test statistic exceeds the critical value of 0.707.

Option C is correct.

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