monthly cost of owning a home was less expensive than renting. The following data show the average asking rent and the monthly mortgage on the median-priced home (including taxes and insurance) for 10 cities where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 26-27, 2011). City Rent ($) Mortgage ($) Atlanta 840 539 Chicago 1062 1002 Detroit 823 DATA file Jacksonville, Fla. Las Vegas 779 796 626 711 655 RentMortgage 1071 977 776 695 Miami Minneapolis Orlando, Fla. 953 851 651 654 Phoenix 762 723 St. Louis a. Develop a scatter diagram for these data, treating the average asking rent as the inde- pendent variable. Does a simple linear regression model appear to be appropriate? b. Use a simple linear regression model to develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking rent. Construct a standardized residual plot. Based upon the standardized residual plot, does a simple linear regression model appear to be appropriate? c. Using a second-order model, develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking rent.

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Question
In 2011, home prices and mortgage rates fell so far that in a number of cities the
monthly cost of owning a home was less expensive than renting. The following data
show the average asking rent and the monthly mortgage on the median-priced home
(including taxes and insurance) for 10 cities where the average monthly mortgage
payment was less than the average asking rent (The Wall Street Journal, November
26–27, 2011).
7.
City
Rent ($)
Mortgage ($)
Atlanta
840
539
1062
1002
Chicago
Detroit
823
626
DATA file
Jacksonville, Fla.
Las Vegas
779
711
796
655
RentMortgage
1071
953
Miami
977
Minneapolis
Orlando, Fla.
776
851
695
762
651
654
Phoenix
St. Louis
723
Develop a scatter diagram for these data, treating the average asking rent as the inde-
pendent variable. Does a simple linear regression model appear to be appropriate?
b. Use a simple linear regression model to develop an estimated regression equation to
predict the monthly mortgage on the median-priced home given the average asking
rent. Construct a standardized residual plot. Based upon the standardized residual
plot, does a simple linear regression model appear to be appropriate?
Using a second-order model, develop an estimated regression equation to predict the
monthly mortgage on the median-priced home given the average asking rent.
d. Do you prefer the estimated regression equation developed in part (a) or part (c)?
Explain.
а.
с.
Transcribed Image Text:In 2011, home prices and mortgage rates fell so far that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent and the monthly mortgage on the median-priced home (including taxes and insurance) for 10 cities where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 26–27, 2011). 7. City Rent ($) Mortgage ($) Atlanta 840 539 1062 1002 Chicago Detroit 823 626 DATA file Jacksonville, Fla. Las Vegas 779 711 796 655 RentMortgage 1071 953 Miami 977 Minneapolis Orlando, Fla. 776 851 695 762 651 654 Phoenix St. Louis 723 Develop a scatter diagram for these data, treating the average asking rent as the inde- pendent variable. Does a simple linear regression model appear to be appropriate? b. Use a simple linear regression model to develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking rent. Construct a standardized residual plot. Based upon the standardized residual plot, does a simple linear regression model appear to be appropriate? Using a second-order model, develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking rent. d. Do you prefer the estimated regression equation developed in part (a) or part (c)? Explain. а. с.
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