Statistics-The owner of Showtime Movie Theaters, Inc., would like

1. The owner of Showtime Movie Theaters, Inc., would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.
Television Advertising ($1000s) |
Newspaper Advertising ($1000s) |
Weekly Revenue ($1000s) |
3 |
3.3 |
98 |
3.5 |
2.3 |
97 |
2.5 |
4.2 |
97 |
5 |
1.5 |
99 |
2 |
2 |
93 |
4 |
1.5 |
98 |
2.5 |
2.5 |
95 |
3 |
2.5 |
97 |
Predictor |
Coeff |
SECoef |
T |
P |
Constant |
86.230 |
1.574 |
54.79 |
0.000 |
Television Advertising($1000s) |
2.2902 |
0.3041 |
7.53 |
0.001 |
Newspaper Advertising($1000s) |
1.3010 |
0.3207 |
4.06 |
0.010 |
S=0.642587 R-Sq=91.9% R-Sq(adj) =88.7%
Analysis of Variance Source DF |
SS |
MS |
F |
P |
|
Regression ? Residual Error ? Total ? |
23.435 ? 25.500 |
? ? |
? |
0.002 |
|
Source Television |
Advertising($1000s) |
DF 1 |
Seq SS 16.640 |
||
NewspaperAdvertising($1000s) 1 6.795
a) Write down what the estimated regression equation is that relates weekly revenue equation with both television advertising and newspaper advertising as the independent variables.
b) Interpret the slope coefficients for each of the independent variables.
c) Complete the ANOVATable

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Solution: Statistics-The owner of Showtime Movie Theaters, Inc., would like