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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


"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.

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