A regression model to predict Y the state burglary rate per

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.

Using the sample size of 50 people, calculate the t_calc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter \"0\" wherever required. Round your answers to 4 decimal places.)

2.

What is the critical values of student\'s t in Appendix D for two-tailed test at = .01. (Round your answer to 3 decimal places.)

4.

Solution

(a)

Following is the competed regression table:

2. critical vaue of t fot two tailed and alpha =0.01 is -2.687 and 2.687.

4. Since P-value of HS Grad is less than 0.01 so we fail to rejecting the null hypothesis corresponding to it. So HSGrad% is significant ot model. Hence option \"Only HSGrad% differs significantly from zero.\" is correct.