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 Coefficient

Intercept 4,960.6913

AgeMed -29.036

Bankrupt 15.3785

FedSpend -0.0276

HSGrad% -27.0511

(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)

y = _____ + _____ AgeMed + _____ Bankrupt + _____ FedSpend + _____ HSGrad%

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

increases by about 29 as the state median age increases.

decreases by about 29 as the state median age increases.

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

increases by about 15 for every 1,000 new bankruptcies filed.

decreases by about 15 for every 1,000 new bankruptcies filed.

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

increases by 0.0276 for each dollar increase in federal funding per person.

decreases by 0.0276 for each dollar increase in federal funding per person.

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

increases by about 27 for each 1% increase in high school graduations.

decreases by about 27 for each 1% increase in high school graduations.

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

No or Yes

(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: _____

Explanation / Answer

a)y =4960.6913+(-29.036)*AgeMed +(15.3785)*Bankrupt +(-0.0276)*FedSpend+(-27.0511)*HSGrad%

b-1)decreases by about 29 as the state median age increases.

b-2)increases by about 15 for every 1,000 new bankruptcies filed.

b-3)decreases by 0.0276 for each dollar increase in federal funding per person.

b-4)decreases by about 27 for each 1% increase in high school graduations.

c)

No

d)

Burglary Rate: =4960.6913+(-29.036)*36 +(15.3785)*7.5+(-0.0276)*6378+(-27.0511)*80=1690.613

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