6. Does the amount of crime in an area predict the level of police presence? The following table displays data on the number of crimes per square mile and the number of police agencies per 1,000 square miles in a sample of states. Use the data to do the following: State Crime per Sq. Mile Police Agencies per 1,000 Sq. Miles ( x ) (y) Georgia 7.30 9.40 lowa 1.40 7.20 Kansas 1.30 4.40 Maine 1.00 3.90 Minnesota 1.90 5.30 Missouri 3.50 8.40 Nebraska .70 3.20 Pennsylvania 7.60 24.90 South Carolina 6.90 8.40 Washington 3.80 3.70 State N = 10a. Calculate the slope coefficient b. ( x = 3.54 and y = 7.88) Calculate the intercept a . ( = 3.54 and = 7. 88) c. Write out the full regression equation. d. Calculate how many police agencies per 1,000 square miles you would expect in a state with i. 5 crimes per square mile. ii. 10 crimes per square mile. e. Using an alpha level of .05 and two-tailed alternative hypothesis, conduct a five-step hypothesis test to determine whether the IV is a significant predictor of the DV. s, = 6.39; and S = 2.76; r= -.71 f. If appropriate (i.e., if you rejected the null in Part e), calculate the beta weight