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?