A regression model to predict Y , the state-by-state 2005 burglary crime rate pe
ID: 3356137 • Letter: A
Question
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage.
(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)
(d) Make a prediction for Burglary when X1= 36 years, X2= 7.5 bankruptcies per 1,000, X3= $6,378, and X4= 80 percent.
Burglary Rate
Predictor Coefficient Intercept 4,960.6913 AgeMed -29.036 Bankrupt 15.3785 FedSpend -0.0276 HSGrad% -27.0511Explanation / Answer
a) y = 4960.6913-29.0360* AgeMed +15.3785*Bankrupt-0.0276* FedSpend-27.0511*HSGrad%
b) y = 4960.6913-29.036*36+15.3785*7.5-0.0276*6378-27.0511*80
y = 1690.613
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