Data on pollution and cost of medical care for elderly people were given in Exercise 5.14 and are also shown here. The accompanying data are 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.

Data set is y^ = 1082.2 2 4.691x, where y ‰ˆ medical cost and x ‰ˆ pollution.
a. Compute the six residuals.
b. What is the value of the correlation coefficientfor 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:

Region Pollution Cost of Medical Care North Upper South Deep South West South Big Sky West 30.0 31.8 32.1 26.8 30.4 40.0 915 891 968 972 952 899