In problem 14.5, crime and population data were presented for each of 10 states. The data are reproduced here.

a. Compute the partial correlation coefficient for the relationship between strife (Y) and unemployment (X) while controlling for the effect of urbanization (Z). What effect does this have on the bivariate relationship? Is the relationship between strife and unemployment direct?

b. Compute the partial correlation coefficient for the relationship between strife (Y) and urbanization (X) while controlling for the effect of unemployment (Z). What effect does this have on the bivariate relationship? Is the relationship between strife and urbanization direct? (HINT: You will need this partial correlation to compute the multiple correlation coefficient.)

c. Find the unstandardized multiple regression equation with unemployment (X1) and urbanization (X2) as the independent variables. What level of strife would be expected in a nation in which the unemployment rate was 10% and 90% of the population lived in urban areas?

d. Compute beta-weights for each independent variable. Which has the stronger impact on strife?

e. Compute the multiple correlation coefficient (R)
and the coefficient of multiple determination (R2).

How much of the variance in strife is explained by the two independent variables?

f. Write a paragraph summarizing your conclusions about the relationships among these three variables.

Take the three crime variables as the dependent variables (one at a time) and do the following:

a. Find the multiple regression equations (unstandardized) with each crime variable (one at a time)
and growth and density as independent variables.

b. Make a prediction for each crime variable for a state with a 5% growth rate and a density of 500.

c. Compute beta-weights for each independent variable in each equation and compare their relative effect on each dependent.

d. Compute R and R2 for each crime variable. Write a paragraph summarizing your findings.