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A consumer products company wants to measure the effectiveness of different types of advertising media in...

A consumer products company wants to measure the effectiveness of different types of advertising media in the promotion of its products. Specially, two types of advertising media are to be considered: radio and television advertising and newspaper advertising (including the cost of discount coupons).  A sample of 22 cities with approximately equal population is selected for study during a test period of one month.  Each city is allocated a specific expenditure level both for radio and television advertising and for newspaper advertising.  The sales of the product (in thousands of dollars) and also the levels of media expenditure (in thousands of dollars) during the test month are recorded with the following results.

Sales Radio Newspaper
973 0 40
1119 0 40
875 25 25
625 25 25
910 30 30
971 30 30
931 35 35
1177 35 35
882 40 25
982 40 25
1628 45 45
1577 45 45
1044 50 0
914 50 0
1329 55 25
1330 55 25
1405 60 30
1436 60 30
1521 65 35
1741 65 35
1866 70 40
1717 70 40

a)    State the multiple regression equation.

b)    Interpret the coefficient b1 and b2 and interpret bo

c)   Predict the average sales for a city in which radio and television advertising is $20,000 and newspaper advertising is $20,000.

d)   Interpret the coefficient of multiple determination and state how well the equation predicts based on it.

e)    State whether there is a significant relationship between sales and the two explanatory variables (radio advertising and newspaper advertising) at the .05 level of significance, and state how you determined whether the relationship is significant. You do not need to do the six steps.

f) At the .05 level of significance, determine whether each variable makes a significant contribution to the regression model. State how you determined this, and based on the results, indicate the independent variables that should be included in the model.

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