A regression model to predict Y, the state-by-state 2005 burglary crime rate per

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 Predictor Intercept AgeMed Bankrupt FedSpend H SGrad% Coefficient 4,318.7298 25.772 15.8250 -0.0316 27.7307 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) AgeMed+ Bankrupt+ FedSpend + HSGrad%

Explanation / Answer

a) The fitted line has coefficients in the blanks. Observe the equation of fitted line as

Y^ = 4318.7298 + (-25.772)AgeMed + (15.8250)Bankrupt + (-0.0316)FedSpend + (-27.7307)HSGrad%

b) Use the given values in the fitted line to find burglary rate.

Burglary rate = 4318.7298 + (-25.772)*36 + (15.8250)*6.0 + (-0.0316)*7355 + (-27.7307)*74

= 1201.398

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