Question

Shortleaf Pines. The data from Exercise 14.43 for volume, in cubic feet, and diameter at breast height, in inches, of 70 shortleaf pines are on the WeissStats site. Do the data provide sufticient evidence to conclude that diameter at breast height and volume are positively linearly correlated for shortleaf pines?

Short answer

The correlation t-test procedure is not reasonable to apply for the given data.

Step-by-step solution

Step 1:Gven informaton

The data from Exercise 14.43 for volume, in cubic feet, and diameter at breast height, in inches, of 70 shortleaf pines are on the WeissStats site.

Step 2:Explaination

Check whether reasonably to apply the correlation $t$-test procedure to data by using Exercise 14.43.

- From the residual plot, it is clear that the residuals are fall in the curved concave upward pattern.

- From the normal probability plot of residuals and the residual plot, it is clear that there is presence of outliers appears in the data. Hence, there is more variation in the residual plot than the normal probability plot of residuals.

Hence, the assumption for the regression inferences is violated for the variables volume and diameter.

Hence, the correlation $t$-test procedure is not reasonable to apply for the given data.