The filled in answers are correct Here is the problem A regr

The filled in answers are correct.

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 Intercept AgeMed Bankrupt FedSpend HSG rad% Coefficient 4,198.5808 -27.3540 17.4893 -0.0124 -29.0314 ata (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) 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 O increases by about 20 as the state median age decreases O decreases by about 17 as the state median age increases O increases by about 27 as the state median age decreases (b-2) The 2005 state-by-state crime rate per 100,000 O decreases by about 7 for every 1,000 new bankruptcies filed increases by about 17 for every 1,000 new bankruptcies filed. increases by about 27 for every 1,000 new bankruptcies filed. O decreases by about 17 for every 1,000 new bankruptcies filed. (b-3) The 2005 state-by-state crime rate per 100,000 decreases by .0124 for each dollar increase in federal funding per person. O increases by .05 for each dollar increase in federal funding per person. O decreases by .025 for each dollar increase in federal funding per person. O increases by 0124 for each dollar increase in federal funding per person. (b-4) The 2005 state-by-state crime rate per 100,000 O decreases by about 19 for each 1% increase in high school graduations. O increases by about 19 for each 1% increase in high school graduations. O 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? (d) Make a prediction for Burglary when X1= 35 years, X2= 7.0 bankruptcies per 1,000, X3 = $6,000, and X4 = 80 percent. Sales

Solution

a. Y = 4198.5808-27.3540*AgeMed+17.4893*Bankrupt-0.0124*FedSpend-29.0314*HSGrad%
b-1 Option 1, since AgeMed is negaive
b-2 Option 2, since Bankrupt is positive
b-3 Option 1, since Fedspend is negative
b-4 Option 4, since Highgrad% is negative
c. Yes, as if all of the variables like AgeMed, Bankrupt, FedSpend, HSGrad% becomes zero there would be 4198.58 crime rates for 100,000 people
d. Y =4198.5808-27.354*35+17.4893*7-0.0124*6000-29.0314*0.8 = 3265.991 crime rates