Education causes crime? The table shows a small data set that has a pattern somewhat like that in Figure 3.22 in Example 14. As in that example, education is measured as the percentage of adult residents who have at least a high school degree. Using software,

a. Construct a data file with columns for education, crime rate, and a rural/urban label.

b. Construct a scatterplot between y = crime rate and x = education, labeling each point as rural or urban.

c. Find the overall correlation between crime rate and education for all eight data points. Interpret.

d. Find the correlation between crime rate and education for the (i) urban counties alone and (ii) rural counties alone. Why are these correlations so different from the correlation in part c?

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Urban Countles Education Crime Rate Education Rural Countles Crime Rate 70 140 55 50 75 120 58 40 80 110 60 30 85 105 65 25