Question

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

A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies, X3 = 2004 federal expenditures per capita (a leading predictor), and X4 = 2005 high school graduation percentage.

(a)

Fill in the values in the table given here for a two-tailed test at α = 0.01 with 31 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.)

  

  Predictor Coefficient SE      tcalc      p-value
  Intercept 4,414.1682 797.4268      
  AgeMed -25.674 12.4815      
  Bankrupt 17.8059 12.3818      
  FedSpend -0.0170 0.0193      
  HSGrad% -30.1905 7.1988      

  

(b-1)

What is the critical value of Student's t in Appendix D for a two-tailed test at α = 0.01 with 31 d.f? (Round your answer to 3 decimal places.)

  t-value =
(b-2) Choose the correct option.
Only HSGrad% differs significantly from zero.
Only Bankrupt differs significantly from zero.
Only FedSpend differs significantly from zero
0 0
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Answer #1

a)

Predictor Coefficient SE      tcalc      p-value
  Intercept 4,414.17 797.4268 5.5355 0
  AgeMed -25.674 12.4815 -2.057 0 .048
  Bankrupt 17.8059 12.3818 1.4381 0.16
  FedSpend -0.017 0.0193 -0.881 0.386
  HSGrad% -30.1905 7.1988 -4.194 0

b)

t-critical = 3.022

Only HSGrad% differs significantly from zero

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