# Question: The ability to estimate the volume of a tree based

The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, 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 were 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 presented on the WeissStats CD.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable.

## Answer to relevant Questions

Exercise 4.47. a. Use Equation (4.1) to determine the sample covariance. b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in the specified exercise. A ...Fill in the blanks. a. A measure of total variation in the observed values of the response variable is the _________. The mathematical abbreviation for it is _________. b. A measure of the amount of variation in the observed ...y-bar = 2.875 − 0.625x a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164). b. Verify the regression identity, SST = SSR + SSE. c. Compute the coefficient of determination. d. ...The data from Exercise 4.64 for number of birdies during a tournament and final score for 63 women golfers are on the WeissStats CD. a. Decide whether finding a regression line for the data is reasonable. If so, then also do ...Refer to Problem 14. a. Determine SST, SSR, and SSE by using the computing formulas. b. Obtain the coefficient of determination. c. Obtain the percentage of the total variation in the observed graduation rates that is ...Post your question