# Question

Measuring the height of a California redwood tree is very difficult because these trees grow to heights of 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. The data in Redwood represent the height (in feet) and diameter (in inches) at the breast 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 b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.

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 95% confidence interval estimate of the population slope between the height of the redwood trees and breast height diameter.

h. What conclusions can you reach about the relationship of the diameter of the tree and its height?

a. Assuming a linear relationship, use the least squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.

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 95% confidence interval estimate of the population slope between the height of the redwood trees and breast height diameter.

h. What conclusions can you reach about the relationship of the diameter of the tree and its height?

## Answer to relevant Questions

You want to develop a model to predict the assessed value of homes based on their size. A sample of 30 single family houses listed for sale in Silver Spring, Maryland, a suburb of Washington, DC, is selected to study the ...On January 28, 1986, the space shuttle Challenger exploded, and seven astronauts were killed. Prior to the launch, the predicted atmospheric temperature was for freezing weather at the launch site. Engineers for Morton ...An agent for a residential real estate company in a suburb located outside of Washington, DC, has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the ...In Problem 13.6 on page 470, you used the total worldwide revenue ($ millions), and full time voluntary turnover (%) data stored in Best Companies to predict the number of full time jobs added. Using the results from that ...Use the following information from a multiple regression model: n = 20 b1 = 4 b2 = 3 Sbi = 1.2 Sb2 = 0.8 a. Which variable has the largest slope, in units of a t statistic? b. Construct a 95% confidence interval estimate of ...Post your question

0