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Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People 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. The data in Redwood represent the height (in feet) and diameter (in inches) at the height of a person for a sample of 21 California redwood trees.
a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients
b. Interpret the meaning of the slope in this equation.
c. Predict the mean height for a tree that has a breast height diameter of 25 inches.
d. Interpret the meaning of the coefficient of determination in this problem.
e. Perform a residual analysis on the results and determine the adequacy of the model.
f. Determine whether there is a significant relationship between the height of redwood trees and the breast height diameter at the 0.05 level of significance.
g. Construct a
h. What conclusions can you reach about the relationship of the diameter of the tree and its height?
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