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

Question

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.

Fill in the values in the table given here for a two-tailed test at = 0.01 with 42 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.)

  

  

What is the critical value of Student's t in Appendix D for a two-tailed test at = 0.01 with 42 d.f? (Round your answer to 3 decimal places.)

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.

Explanation / Answer

a)here as tcalc =Coefficient/SE

hence

b-1)

t value =2.698

b-2)

Only HSGrad% differs significantly from zero

  Predictor Coefficient SE      tcalc      p-value   Intercept 4808.2085 799.0722 6.017 0.0000   AgeMed -28.9440 12.5026 -2.315 0.0256   Bankrupt 15.3903 12.3328 1.248 0.2190   FedSpend -0.0148 0.0118 -1.254 0.2167   HSGrad% -28.7834 7.1964 -4.000 0.0003

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