Question

14.107 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. Specified value of the predictor variable: 11 inches.

Short answer

Part a) the assumption for the regression inferences is violated for the variables volume and diameter.

from part (b) to part (f) cannot be calculated.

Step-by-step solution

Step 1:Given information

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 conditional mean and predated value $t$-interval 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.

From part (a), it is clear that the assumptions for the regression inferences are violated. Hence, from part (b) to part (f) cannot be calculated.