In Chapter 15 (p. 531), we presented an example showing the general relationship among the number of

Question:

In Chapter 15 (p. 531), we presented an example showing the general relationship among the number of churches, the number of serious crimes, and the population for a set of cities. At that time, we used a partial correlation to evaluate the relationship between churches and crime while controlling population. It is possible to use multiple regression to accomplish essentially the same purpose. For the following data,

Number of Churches (X,) Population (х) Number of Crimes (Y) 1 1 4 2 1 3 1 2 4 1 3 5 1 5 2 8. 2 11 9. 10 11 10 13 3 15 1

a. Find the multiple regression equation for predicting the number of crimes using the number of churches and population as predictor variables.
b. Find the value of R2 for the regression equation.
c. The correlation between the number of crimes and population is r = 0.961, which means that r2 = .924 (92.4%) is the proportion of variance in the number of crimes that is predicted by population size. Does adding the number of churches as a second variable in the multiple regression equation add a significant amount to the prediction? Test with Î± = .05.