The table below presents the scores of 10 states on each of six variables—three measures of criminal activity as dependent variables and three possible independent variables: unemployment rate, population density, and population growth rate.

Crime rates are number of incidents per 100,000 population in 2007.

For each combination of crime rate and the three independent variables:

a. Draw a scattergram and a freehand regression line.

b. Compute the slope

(b) and find the Y intercept (a).

c. State the least-squares regression line. What homicide rate would you predict for a state with a growth rate of –1? What robbery rate would you predict for a state with a population density of 250?

What auto theft rate would you predict for a state in which 12% of the population was unemployed?

d. Compute r and r2.

e. Assume these states are a random sample and conduct a test of significance for both relationships.

f. Describe the strength and direction of each of these relationships in a sentence or two.

a. Compute r and r2 for each combination of variables.

b. Summarize these relationships in terms of strength and direction.