A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used...

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Statistics

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.

PredictorCoefficient
  Intercept4,286.0597   
  AgeMed-26.986   
  Bankrupt18.5775   
  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    

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          

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      

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?

No
Yes

(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

Answer & Explanation Solved by verified expert
4.1 Ratings (457 Votes)
Y The statebystate 2005 burglary crime rate per 100000 people X1 median age in 2005 X2 number of 2005 bankruptcies per 1000 people X3 2004 federal expenditures per capita X4 2005 high school graduation percentage a Predictor Coefficient Intercept 42860597 AgeMed    See Answer
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