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.

Using the sample size of 50 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.)

  

2.

What is the critical values of student's t in Appendix D for two-tailed test at = .01. (Round your answer to 3 decimal places.)

  

   

4.

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)

Following is the competed regression table:

2. critical vaue of t fot two tailed and alpha =0.01 is -2.687 and 2.687.

4. Since P-value of HS Grad is less than 0.01 so we fail to rejecting the null hypothesis corresponding to it. So HSGrad% is significant ot model. Hence option "Only HSGrad% differs significantly from zero." is correct.

Predictor Coefficient SE      tcalc      p-value   Intercept 4,198.5808 799.3395    4198.5808/799.3395=5.2526 0.00001   AgeMed 27.3540 12.5687    (-27.354/12.5687)=-2.1764 0.0347   Bankrupt 17.4893 12.4033      17.4893/12.4033=1.4101 0.1652   FedSpend 0.0124 0.0176      (-0.0124/0.0176)=0.7045 0.4847   HSGrad% 29.0314 7.1268      (-29.0314/7.1268)=-4.0736 0.00018

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