Question

The following data describes weekly gross revenue, television advertising, and newspaper advertising for Showtime Movie Theaters. Weekly Gross Televison Newspaper Advertising Advertising Revenue ($1000s) ($1000s) ($1000s) 1.5 2 1.5 2.5 3.3 2.3 90 2 4 2.5 92 95 94 94 94 3.5 2.5 2.5 a. Find an estimated regression equation relating weekly gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals) Revenue = 83.78 1.78 TVAdv + | 1.47 NewsAdv

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Answer #1

Enter data in excel.

Click on Data->Data Analysis and select Regression.

Enter Revenue data range in Y variable and TVAdv and NewsAdv data range in X variable.

Give output range and click OK.

The output is shown below:

1 Revenue TVAdv NewsAdv SUMMARY OUTPUT 1.5 2 1.5 2.5 3.3 2.3 4.2 2.5 2 Regression Statistics 95 92 95 MultipleR R Square Adjusted R Square Standard Error Observations 0.9831 0.9664 0.9530 0.5609 2.5 3.5 2.5 10 ANOVA MS Significance F 12 13 14 Regression Residual Total 2 45.30 22.6571.99 0.0002 1.57 0.31 46.88 16 17 18 coefficients 80.98 3.12 1.29 standard Error t Stat P-value 1.37 58.950.00 0.27 11.770.00 0.01 Lower 95% Uer95% Intercept TVAdv NewsAdv 77.45 2.44 0.57 84.52 3.81 2.01 0.28 4.60

From above output, using Coefficient column, an estimated regression equation relating weekly gross revenue to television advertising expenditures and newspaper advertising expenditures is:

Revenue80.98 3.12 TV Ady 1.29 NewsAdy

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