Question

The city council of Pine Bluffs is considering increasing the number of police officers in an effort to reduce crime. Before making a final decision, the council asks the chief of police to survey other cities of similar size to determine the relationship between the number of police officers and the number of crimes reported. The chief gathered the following sample information:

City

# of Police Officers

# of Crimes

City

# of Police Officers

# of Crimes

Oxford

15

17

Holgate

17

7

Starkville

17

13

Carey

12

21

Danville

25

5

Whistler

11

19

Athens

27

7

Woodville

22

6

Required:

a. If we want to estimate crimes on the basis of number of police officers, which variable is the dependent and which is the independent variable?

b. Determine the regression equation.

c. Estimate the number of crimes for a city with 20 police officers.

Answer 1