A regression model to predict Y, the state-by-state2005 burglary crime rate per 100,000 people, used the followingfour state predictors: X1 = median age in 2005,X2 = number of 2005 bankruptcies per 1,000people, X3 = 2004 federal expenditures percapita, and X4 = 2005 high school graduationpercentage.
Predictor | Coefficient |
  Intercept | 4,286.0597   |
  AgeMed | -26.986   |
  Bankrupt | 18.5775   |
  FedSpend | -0.0280   |
  HSGrad% | -28.5624   |
|
(a) Write the fitted regression equation.(Round your answers to 4 decimal places. Negative valuesshould be indicated by a minus sign.)
yˆy^ =  +  AgeMed+  Bankrupt +  FedSpend+  HSGrad%
(b-1) The 2005 state-by-state crime rate per100,000
| increases by about 27 as the state median age increases. |
| decreases by about 27 as the state median age increases. |
(b-2) The 2005 state-by-state crime rate per100,000   ÂÂ
| decreases by about 19 for every 1,000 new bankruptciesfiled. |
| increases by about 19 for every 1,000 new bankruptciesfiled. |
(b-3) The 2005 state-by-state crime rate per100,000         ÂÂ
| decreases by 0.028 for each dollar increase in federal fundingper person. |
| increases by 0.028 for each dollar increase in federal fundingper person. |
(b-4) The 2005 state-by-state crime rate per100,000     ÂÂ
| decreases by about 29 for each 1% increase in high schoolgraduations. |
| increases by about 29 for each 1% increase in high schoolgraduations. |
(c) Would the intercept seem to have meaning inthis regression?
(d) Make a prediction for Burglarywhen X1= 34 years, X2= 7.2bankruptcies per 1,000, X3= $5,044,and X4= 84 percent.
Burglary Rate
rev: 09_26_2016_QC_CS-62964, 09_20_2017_QC_CS-1011