Interpret the meaning of the coefficient of multiple determination in this problem.

Measuring the height of a California redwood tree is very difficult because these trees

grow to heights over 300 feet. People familiar with these trees understand that the

height of a California redwood tree is related to other characteristics of the tree,

including the diameter of the tree at the breast height of a person (in inches) and the

thickness of the bark of the tree (in inches). The excel file Redwood.xlsx contains the

height, diameter at breast height of a person, and bark thickness for a sample of 21

California redwood trees.

Questions:

1. Use the multiple regression method to compute the regression coefficients.

2. State the multiple regression equation that predicts the height of a tree based on

the tree’s diameter at breast height and the thickness of the bark.

3. Interpret the meaning of the slopes in this equation.

4. Predict the mean height for a tree that has a breast height diameter of 25 inches

and a bark thickness of 2 inches.

5. Interpret the meaning of the coefficient of multiple determination in this problem.