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) Calculate the t statistic for each coefficient to test for j 0 (b) Look up the critical value of Student 's t in Appendix D for a two tailed test at 01 Which coefficients differ significantly from zero (c) Use Excel to find a p value for Burglary each coefficient Predictor Coefficient SE intercept AgeMed Bankrupt 4,198 5808 27 3540 17 4893 0 0124 29,0314 799 3395 12 5687 12 4033 0 0176 7 1268 9 HSGrad

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

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) Calculate the t statistic for each coefficient to test for Î²j = 0.
(b) Look up the critical value of Student's t in Appendix D for a two-tailed test at Î± = .01. Which coefficients differ significantly from zero?
(c) Use Excel to find a p-value for Burglary each coefficient.

Predictor Coefficient SE intercept AgeMed Bankrupt 4,198.5808 -27.3540 17.4893 -0.0124 -29,0314 799.3395 12.5687 12.4033 0.0176 7.1268 9 HSGrad%

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