Look at the model you found for the data on the number of shopping
centers and retail sales for the North Central states.
Make a plot of the residuals versus the independent variable.
From the plot, does it appear that a linear model is appropriate?
Looking at the residual plot, do you think that the assumption of
equality of variances is violated?
Make a graph that shows the distribution of the residuals.
Does it appear that the residuals are normally distributed?
Considering your answers to parts (a) – (e), do you think that the
linear regression model is appropriate for these data? Why or why not?
State Number of
Shopping Centers Retail Sales
($ billion)
Ohio 1559 34.8
Indiana 848 18.0
Illinois 1961 34.1
Michigan 967 21.0
Wisconsin 588 12.0
Minnesota 436 11.5
Iowa 277 6.3
Missouri 834 18.9
North Dakota 84 1.8
South Dakota 51 1.1
Nebraska 245 4.8
Statistics Homework Solutions
#10270
Distribution graph
Look at the model you found for the data on the number of shopping centers and retail sales for the North Central states.
a. Make a plot of the residuals versus the independent variable.
b. From the plot, does it appear that a linear model is appropriate?
c. Looking at the residual plot, do you think that the assumption of equality of variances is violated?
d. Make a graph that shows the distribution of the residuals.
e. Does it appear that the residuals are normally distributed?
f. Considering your answers to parts (a) - (e), do you think that the linear regression model is appropriate for these data? Why or why not?
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