A company wants to estimate how effective different types of advertising are for promoting its products. Specifically,
Question:
"A company wants to estimate how effective different types of advertising are for promoting its products. Specifically, the company is interested in estimating the effectiveness of radio advertising and newspaper advertising. A sample of 50 cities is selected for the study during a test period of one month. The populations of the selected cities are approximately the same. Each city is allocated a specific expenditure level for radio advertising and for newspaper advertising. Sales of the product (in thousands of dollars) and the levels of expenditure (in thousands of dollars) on both types of advertising are recorded during the test month. The collected data are given
Sales | Radio | Newspaper |
2433 | 0 | 60 |
2798 | 0 | 60 |
2188 | 37.5 | 37.5 |
1563 | 37.5 | 37.5 |
2275 | 45 | 45 |
2428 | 45 | 45 |
2328 | 52.5 | 52.5 |
2943 | 52.5 | 52.5 |
2205 | 60 | 37.5 |
2455 | 60 | 37.5 |
4070 | 67.5 | 67.5 |
3943 | 67.5 | 67.5 |
2610 | 75 | 0 |
2285 | 75 | 0 |
3323 | 82.5 | 37.5 |
3325 | 82.5 | 37.5 |
3513 | 90 | 45 |
3590 | 90 | 45 |
3803 | 97.5 | 52.5 |
4353 | 97.5 | 52.5 |
4665 | 105 | 60 |
4293 | 105 | 60 |
1563 | 37.5 | 37.5 |
2275 | 45 | 45 |
2428 | 45 | 45 |
2328 | 52.5 | 52.5 |
2943 | 52.5 | 52.5 |
2205 | 60 | 37.5 |
2455 | 60 | 37.5 |
4070 | 67.5 | 67.5 |
3943 | 67.5 | 67.5 |
2610 | 75 | 0 |
2285 | 75 | 0 |
3323 | 82.5 | 37.5 |
3325 | 82.5 | 37.5 |
3513 | 90 | 45 |
3590 | 90 | 45 |
2610 | 75 | 0 |
2285 | 75 | 0 |
3323 | 82.5 | 37.5 |
3325 | 82.5 | 37.5 |
3513 | 90 | 45 |
3590 | 90 | 45 |
3803 | 97.5 | 52.5 |
4353 | 97.5 | 52.5 |
4665 | 105 | 60 |
4293 | 105 | 60 |
1563 | 37.5 | 37.5 |
2275 | 45 | 45 |
2428 | 45 | 45 |
a. Specify a suitable multiple regression equation for predicting sales.
b. Use Excel to estimate the coefficients of the regression equation.
c. Are the estimated slope coefficients statistically significant? Explain.
d. Interpret the estimated slope coefficients.
e. Predict the sales for a city in which radio advertising is $60,000 and newspaper advertising is $60,000.
Basic Business Statistics Concepts And Applications
ISBN: 9780132168380
12th Edition
Authors: Mark L. Berenson, David M. Levine, Timothy C. Krehbiel