# Question: Consumer Reports provided extensive testing and ratings for 24 treadmills

Consumer Reports provided extensive testing and ratings for 24 treadmills. An overall score, based primarily on ease of use, ergonomics, exercise range, and quality, was developed for each treadmill tested. In general, a higher overall score indicates better performance. The following data show the price, the quality rating, and overall score for the 24 treadmills (Consumer Reports, February 2006).

a. Use these data to develop an estimated regression equation that could be used to estimate the overall score given the price.

b. Use α = .05 to test for overall significance.

c. To incorporate the effect of quality, a categorical variable with three levels, we used two dummy variables: Quality-E and Quality-VG. Each variable was coded 0 or 1 as follows.

Develop an estimated regression equation that could be used to estimate the overall score given the price and the quality rating.

d. For the estimated regression equation developed in part (c), test for overall significance using α = .10.

e. For the estimated regression equation developed in part (c), use the t test to determine the significance of each independent variable. Use α = .10.

f. Develop a standardized residual plot. Does the pattern of the residual plot appear to be reasonable?

g. Do the data contain any outliers or influential observations?

h. Estimate the overall score for a treadmill with a price of $2000 and a good quality rating. How much would the estimate change if the quality rating were very good? Explain.

a. Use these data to develop an estimated regression equation that could be used to estimate the overall score given the price.

b. Use α = .05 to test for overall significance.

c. To incorporate the effect of quality, a categorical variable with three levels, we used two dummy variables: Quality-E and Quality-VG. Each variable was coded 0 or 1 as follows.

Develop an estimated regression equation that could be used to estimate the overall score given the price and the quality rating.

d. For the estimated regression equation developed in part (c), test for overall significance using α = .10.

e. For the estimated regression equation developed in part (c), use the t test to determine the significance of each independent variable. Use α = .10.

f. Develop a standardized residual plot. Does the pattern of the residual plot appear to be reasonable?

g. Do the data contain any outliers or influential observations?

h. Estimate the overall score for a treadmill with a price of $2000 and a good quality rating. How much would the estimate change if the quality rating were very good? Explain.

## Relevant Questions

In baseball, a team's success is often thought to be a function of the team's hitting and pitching performance. One measure of hitting performance is the number of home runs the team hits, and one measure of pitching ...Refer to exercise 12. In exercise 12 The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for the 30 players who ...Write a multiple regression equation that can be used to analyze the data for a randomized block design involving three treatments and two blocks. Define all variables. Consider the following data for two variables, x and y. a. Does there appear to be a linear relationship between x and y? Explain. b. Develop the estimated regression equation relating x and y. c. Plot the standardized ...Corvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The following data, based upon the Martin Rating System for Collectible Cars, show the rarity rating (1-20) and the high ...Post your question