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

ID: 3375895 • Letter: A

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 X42005 high school graduation percentage (a) Fill in the values in the table given here for a two-tailed test ata 0.01 with 45 d.f. (Negative values should be indicated 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.) CoefficientSE Predictor Intercept AgeMed Bankrupt FedSpend HSGrad% lc p-value 4,399.6726 793.4196 28.943 .6607 20.199112.2935 0.0151 7.1254 0.0197 26.2993 (b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at a 0.01 with 45 d.f? (Round your answer to 3 decimal places.) -value- (b-2) Choose the correct option. O Only FedSpend differs significantly from zero Only HSGrad% differs significantly from zero O Only Bankrupt differs significantly from zero

Explanation / Answer

as we know that tcalc=coefficient/SE

hence:

b-1)

t- value =2.690

b-2)

only HS Grad% differs significantly from zero.

predictor coefficient SE tcalc p value intercept 4399.6726 793.4196 5.545 0.0000 Agemed -28.9430 12.6607 -2.286 0.0270 Bankrupt 20.1991 12.2935 1.643 0.1074 Fedspend -0.0197 0.0151 -1.305 0.1985 Hsgrad% -26.2993 7.125 -3.691 0.0006
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