Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and are also shown here. The following data give a measure of pollution (micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographic regions of the United States: Cost of Medical Region Pollution Care

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PROBLEM 5:38
Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and
are also shown here. The following data give a measure of pollution (micrograms of particulate
matter per cubic meter of air) and the cost of medical care per person over age 65 for six
geographic regions of the United States:
Cost of
Medical
Care
Region
Pollution
North
30.0
915
Upper South
Deep South
West South
31.8
891
32.1
968
26.8
972
Big Sky
30.4
952
West
40.0
899
The equation of the least-squares regression line for this data set is,
where y = 1082.2 - 4.691 ! medical cost and x! pollution.
a. Compute the six residuals.
b. What is the value of the correlation coefficient for this data set? Does the value of r indicate
that the linear relationship between pollution and medical cost is strong, moderate, or weak?
Explain.
c. Construct a residual plot. Are there any unusual features of the plot?
d. The observation for the West, (40.0, 899), has an x value that is far removed from the other
x values in the sample. Is this observation influential in determining the values of the slope
and/or intercept of the least-squares line? Justify your answer
Transcribed Image Text:PROBLEM 5:38 Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and are also shown here. The following data give a measure of pollution (micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographic regions of the United States: Cost of Medical Care Region Pollution North 30.0 915 Upper South Deep South West South 31.8 891 32.1 968 26.8 972 Big Sky 30.4 952 West 40.0 899 The equation of the least-squares regression line for this data set is, where y = 1082.2 - 4.691 ! medical cost and x! pollution. a. Compute the six residuals. b. What is the value of the correlation coefficient for this data set? Does the value of r indicate that the linear relationship between pollution and medical cost is strong, moderate, or weak? Explain. c. Construct a residual plot. Are there any unusual features of the plot? d. The observation for the West, (40.0, 899), has an x value that is far removed from the other x values in the sample. Is this observation influential in determining the values of the slope and/or intercept of the least-squares line? Justify your answer
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