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: X1median age in 2005, x2 number of 2005 bankruptcies, X3 2004 federal expenditures per capita (a leading predictor), snd X4 = 2005 high school graduation percentage. (a) Fill in the values in the table given here for a two-tailed test at r 0.01 with 40 d.f. (Negative values by a minus sign. Leave no cells blank be certain to enter "O" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.) calc PredictorCoefficient ntercept AgeMed Bankrupt FedSpend HSG rad% SE alue 4,641.0430 798.0634 -28.863 12.4684 20.1604 12.1079 0.0181 7.1138 0.0181 30.3198 (b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at ? 0.01 with 40 df? (Round your answer to 3 decimal places.) -value (b-2) Choose the correct option O Only Bankrupt differs significantly from zero O Only FedSpend differs significantly from zero. Only HSGrad% differs significantly from zero

Explanation / Answer

As we know that tcalc =coefficient/std error

hence

b-1)

t -value =-/+ 2.704

b-2)

only HSgrad% differs significantly from zero.

predictor coefficient SE tcalc p value intercept 4641.043 798.0634 5.815 0.0000 agemed -28.863 12.4684 -2.315 0.0258 bankrupt 20.1604 12.1079 1.665 0.1037 Fedspend -0.0181 0.0181 -1 0.3233 Hsgrad% -30.3196 7.1136 -4.262 0.0001

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