# Question: A regression model to predict Y the state burglary rate

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 βj = 0.

(b) Look up the critical value of Student's t in Appendix D for a two-tailed test at α = .01. Which coefficients differ significantly from zero?

(c) Use Excel to find a p-value for Burglary each coefficient.

(a) Calculate the t statistic for each coefficient to test for βj = 0.

(b) Look up the critical value of Student's t in Appendix D for a two-tailed test at α = .01. Which coefficients differ significantly from zero?

(c) Use Excel to find a p-value for Burglary each coefficient.

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