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A regression model to predict Y , the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X 1 =

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

4,459.7813

AgeMed

-26.190

Bankrupt

16.9037

FedSpend

-0.0161

HSGrad%

-30.9882

(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) yy^ = + AgeMed + Bankrupt + FedSpend + HSGrad% (b-1) The 2005 state-by-state crime rate per 100,000

multiple choice 2

  • increases by about 26 as the state median age increases.
  • decreases by about 26 as the state median age increases.

(b-2) The 2005 state-by-state crime rate per 100,000 multiple choice 4

  • increases by about 17 for every 1,000 new bankruptcies filed.
  • decreases by about 17 for every 1,000 new bankruptcies filed.

(b-3) The 2005 state-by-state crime rate per 100,000 multiple choice 6

  • increases by 0.0161 for each dollar increase in federal funding per person.
  • decreases by 0.0161 for each dollar increase in federal funding per person.

(b-4) The 2005 state-by-state crime rate per 100,000 multiple choice 8

  • decreases by about 31 for each 1% increase in high school graduations.
  • increases by about 31 for each 1% increase in high school graduations.

(c) Would the intercept seem to have meaning in this regression? multiple choice 10

  • Yes
  • No

(d) Make a prediction for Burglary when X1 = 34 years, X2 = 7.9 bankruptcies per 1,000, X3 = $7,959, and X4 = 89 percent. (Round your answers to 4 decimal places.) Burglary Rate $

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