The table on page 387 presents the scores of 10 states on each of six variables: three measures of criminal activity and three measures of population structure. Crime rates are number of incidents per 100,000 population as of 2004.

For each combination of crime rate and population characteristic:

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 50% of the population lived in urban areas?

d. Compute r and r 2

.

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.