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 Coefficient Intercept 4,304.4610 AgeMed -26.903 Bankrupt 20.8921 FedSpend -0.0312 HSGrad% -29.1815 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) yˆ =_____ + _____ AgeMed + _______ Bankrupt + _____ FedSpend + ______ HSGrad%

(b-1) The 2005 state-by-state crime rate per 100,000

increases by about 27 as the state median age increases.

decreases by about 27 as the state median age increases.

(b-2) The 2005 state-by-state crime rate per 100,000

decreases by about 21 for every 1,000 new bankruptcies filed.

increases by about 21 for every 1,000 new bankruptcies filed.

(b-3) The 2005 state-by-state crime rate per 100,000

decreases by 0.0312 for each dollar increase in federal funding per person.

increases by 0.0312 for each dollar increase in federal funding per person.

(b-4) The 2005 state-by-state crime rate per 100,000

decreases by about 29 for each 1% increase in high school graduations.

increases by about 29 for each 1% increase in high school graduations.

(c) Would the intercept seem to have meaning in this regression?

Yes No

(d) Make a prediction for Burglary when X1 = 30 years, X2 = 5.0 bankruptcies per 1,000, X3 = $5,723, and X4 = 80 percent.

(Round your answers to 4 decimal places.)

Burglary Rate $_______

Answer 1

a) Write the fitted regression equation:

yˆ = 4304.4610 + (-26.903)AgeMed + (20.8921)Bankrupt + (-0.0312)FedSpend + (-29.1815)HSGrad%

(b-1) The 2005 state-by-state crime rate per 100,000 decreases by about 27 as the state median age increases.

(b-2) The 2005 state-by-state crime rate per 100,000 increases by about 21 for every 1,000 new bankruptcies filed.

(b-3) The 2005 state-by-state crime rate per 100,000 decreases by 0.0312 for each dollar increase in federal funding per person.

(b-4) The 2005 state-by-state crime rate per 100,000 decreases by about 29 for each 1% increase in high school graduations.

(c) No, the intercept does not seem to have meaning in this regression.

(d) Make a prediction for Burglary when X1 = 30 years, X2 = 5.0 bankruptcies per 1,000, X3 = $5,723, and X4 = 80 percent.

yˆ = 4304.4610 + (-26.903)*30+ (20.8921)*5+ (-0.0312)*5723+ (-29.1815)*80

Burglary Rate $ 1088.7539