a. Is there a linear correlation between chest size and weight? No, because the

Question

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

No, because the absolute value of the test statistic exceeds the critical calue of 0.707.

Yes, because the absolute value of the test statistic exceeds the critical value of 0.707.

Yes, because the test statistic falls between the critical values of -0.707 and 0.707.

The answer cannot be determined from the given information.

b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? __________ (Round to three decimal places as needed.)

Please show work and give an exact answer. I only have three times to enter it in correctly. Thank you!

Explanation / Answer

for n=8 and 0.05 level critical value of r =0.707

therefore correct option is:

Yes, because the absolute value of the test statistic exceeds the critical value of 0.707

b)

for coefficient of determination r2 =0.511

hence proportion of the variation in weight can be explained by the linear relationship between weight and chest size =0.511

please reply for any clarification

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