In each of Exercises, use the technology of your choice to decide whether you can reasonably apply the correlation t-test. If so, perform and interpret the required correlation t-test(s) at the 5% significance level.Shortleaf Pines. The data from Exercise 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 sufficient evidence to conclude that diameter at breast height and volume are positively linearly correlated for shortleaf pines?ExerciseWorking with Large Data SetsIn Exercises, use the technology of your choice toa. obtain and interpret the standard error of the estimate.b. obtain a residual plot and a normal probability plot of the residuals.c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site.

In each of Exercises, use the technology of your choice to decide whether you can reasonably apply the correlation t-test. If so, perform and interpret the required correlation t-test(s) at the 5% significance level.
Shortleaf Pines. The data from Exercise 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 sufficient evidence to conclude that diameter at breast height and volume are positively linearly correlated for shortleaf pines?
Exercise
Working with Large Data Sets
In Exercises, use the technology of your choice to
a. obtain and interpret the standard error of the estimate.
b. obtain a residual plot and a normal probability plot of the residuals.
c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site.