A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X_{1} = median age in 2005, X_{2} = number of 2005 bankruptcies, X_{3} = 2004 federal expenditures per capita (a leading predictor), and X_{4} = 2005 high school graduation percentage. 
(a) 
Fill in the values in the table given here for a twotailed test at α = 0.01 with 40 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank  be certain to enter "0" wherever required. Round your tvalues to 3 decimal places and pvalues to 4 decimal places.) 
Predictor  Coefficient  SE  t_{c}_{alc}  pvalue  
Intercept  4,459.7813  797.7352  
AgeMed  26.190  12.3168  
Bankrupt  16.9037  12.6186  
FedSpend  0.0155  0.0133  
HSGrad%  30.9882  7.1255  
(b1) 
What is the critical value of Student's t in Appendix D for a twotailed test at α = 0.01 with 40 d.f? (Round your answer to 3 decimal places.) 
tvalue =

a and b)
Predictor  Coefficient  SE  tcalc  pvalue  t critical 
Intercept  4,459.78  797.7352  5.591  0.0000  2.704 
AgeMed  26.19  12.3168  2.126  0.0397  2.704 
Bankrupt  16.9037  12.6186  1.340  0.1879  2.704 
FedSpend  0.0155  0.0133  1.165  0.2508  2.704 
HSGrad%  30.9882  7.1255  4.349  0.0001  2.704 
T.DIST.2T(t stat,df)  T.INV.2T(alpha,df) 
Use the formulas below or Use t table
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