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.)

yˆy^ = _______ + __________ 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    

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

• decreases 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      

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

• decreases 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.

Burglary Rate ______________

Answer 1

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