A regression model to predictY, 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, andX₄= 2005 high school graduation percentage.

PredictorCoefficientIntercept4,579.5465AgeMed-27.292Bankrupt19.5612FedSpend-0.0264HSGrad%-27.5839

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

y

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

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

• decreases by about 27 as the state median age increases.
• increases by about 27 as the state median age increases.

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

increases by about 20 for every 1,000 new bankruptcies filed.

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

decreases by 0.0264 for each dollar increase in federal funding per person.

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

decreases by about 28 for each 1% increase in high school graduations.

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

No

(d)Make a prediction forBurglarywhenX₁= 35 years,X₂= 5.7bankruptciesper 1,000,X₃= $5,864, andX₄= 84 percent.(Round your answers to 4 decimal places.)

Burglary Rate$