Question

The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s) un NW w in ini in in a. Use a = 0.01 to test the hypotheses H: Bi = B2 = 0 H: B, and/or B2 is not equal to zero for the model y = Bo + B121 + B222 + E, where 21 = television advertising ($1000s) 12 = newspaper advertising ($1000s) Compute the F test statistic (to 2 decimals). Use F table.

Answer 1

REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS CI (95) R ANOVA /CRITERIA=PIN.05) POUT (.10) /NOORIGIN /DEPENDENT VAR00001 /METHOD=ENTER VARO0002 VAR00003. Regression [DataSeto] Variables Entered/Removeda Variables Entered Variables Removed Model Method Enter VAR00003, VAR00002 a. Dependent Variable: VAR00001 b. All requested variables entered. Model Summary Adjusted R Model R R Square Square 986 973 1962 a. Predictors: (Constant), VAR00003, VAR00002 Std. Error of the Estimate 36025 ANOVA Mean Square 11.613 130 Sig. .000 Sum of Model Squares Regression 23.226 Residual .649 5 Total 23.8757 a. Dependent Variable: VAR00001 b. Predictors: (Constant), VAR00003, VAR00002 89.484 Page 1

Coefficients Standardized Coefficients Beta Model sig (Constant) VAR00002 VAR00003 Unstandardized Coefficients B Std. Error 86.161 .690 1.545 .116 1.015 .129 1.139 .670 124.796 13.318 7.840 .000 .000 .001 Coefficients a 95.0% Confidence Interval for B Model Lower Bound Upper Bound (Constant) 84.386 87.936 VAR00002 1.247 1.843 VAR00003 .682 1.348 a. Dependent Variable: VAR00001 Page 2