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Please note that the filled in answers have been verified as being correct. Just

ID: 1147491 • Letter: P

Question

Please note that the filled in answers have been verified as being correct. Just need help figuring out (d). Here is the problem: 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 Intercept AgeMed Bankrupt FedSpend HSG rad % Coefficient 4,198.5808 -27.3540 17.4893 -0.0124 29.0314 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) 4198.5808+27 3540 AgeMed+17.4893 Bankrupt+00124 FedSpend + 29.0314 HSGrad% (b-1) The 2005 state-by-state crime rate per 100,000 decreases by about 17 as the state median age increases decreases by about 27 as the state median age increases increases by about 27 as the state median age decreases increases by about 20 as the state median age decreases

Explanation / Answer

Let us first write the regression line.

y = intercept + agemed*X1 + Bankrupt*X2 + FedSpend*X3 + HSGrad%*X4

Putting the values of the coefficients given in the table and the values given in option d, we get

y = 4198.5808 - 27.3540 * 35 + 17.4893 * 7 - 0.0124 * 6000 - 29.0314 * 80

= 966.7039

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