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. (a) Fill in the values in the table given here for a two-tailed test at a = 0.01 with 33 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.) calc p-value Predictor Intercept AgeMed Bankrupt FedSpend HSGrad: Grad Coefficient 4,761.0570 -30.867 19.4063 -0.0183 -25.8664 SE 797.1734 12.9595 12.8931 0.0103 7.1878 (6-1) What is the critical value of Student's tin Appendix D for a two-tailed test at a = .01 with 33 d.f? (Round your answer to 3 decimal places.) t-value =D (6-2) Choose the correct option. Only HSGrad% differs significantly from zero. Only Bankrupt differs significantly from zero. Only FedSpend differs significantly from zero.

Answer 1

a) t values will be the ratio of Coefficient and SE and then, p - value will be two tailed value corresponding to that t at 33 d.f. Hence,

The complete table will be:

Predictor Coefficient SE Intercept 4761.057 797.1734 AgeMed -30.867 12.9595 Bankrupt 19.40631 12.8931 FedSpend -0.0183 0.0103 HSGrad% -25.8664 7.1878 tcalcp-value 5.972 0.0000 -2.382 0.0231 1.505 -1.777 0.0848 -3.599 0.0010

b) t value = 2.733

c) Option A is correct.