In: Math
A criminologist is interested in the effects of unemployment and policing on murder and has run the following multiple regression:
| 
 Summary Output  | 
|
| 
 Regression Statistics  | 
|
| 
 Multiple R  | 
 0.90303  | 
| 
 R Square  | 
 0.815462  | 
| 
 Adjusted R Square  | 
 0.762737  | 
| 
 Standard Error  | 
 5.11041  | 
| 
 Observations  | 
 10  | 
| 
 Coefficients  | 
 Standard Error  | 
 t Statistic  | 
 P-value  | 
|
| 
 Intercept  | 
 –23.26309588  | 
 7.075518018  | 
 –3.28783  | 
 0.013342  | 
| 
 Unemployment rate  | 
 10.27754326  | 
 2.172859937  | 
 4.729961  | 
 0.002133  | 
| 
 Police per 100,000  | 
 –0.046737101  | 
 0.023409765  | 
 –1.99648  | 
 0.086065  | 
a. What is the Y-intercept? Interpret your results.
b. Which variables are significant at the 0.05 level?
c. What is the predicted homicide rate for a city with an unemployment rate of 5% and 250 police officers per 100,000 population?