suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. the sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. both sales volume and advertising expenditures are in thousands of dollars. estimated sales volume

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Both sales volume and advertising expenditures are 28,850 & 99,509.80.

The equation of regression is given as follows:

Estimated Sales Volume =49250 + 0.51 ( Advertising Expenditures)

(a). Here the Sales Volume is dependent on Advertising Expenditures therefore, Sales Volume is considered as dependent variable.

(b). The Advertising Expenditures is the independent variable here, it is this independent variable that predict the dependent variable Sales Volume.

(c). Given that,

Advertising Expenditures = 40,000

Therefore, Estimated Sales volume will be,

Estimated Sales Volume = 49250+0.51 ( Advertising Expenditures)

                                              = 49250 + 0.51(40000)

                                             = 49250 + 20400

                                             = 28850

Hence the estimated sales volume will be $ 28,850 when the marketing department spends $40,000 on advertising.

(d). Put Sales Volume = 100,000  to obtain the corresponding value of advertising expenditure.

Estimated Sales Volume = 49250+0.51 ( Advertising Expenditures)

                          100,000 = 49,250+0.51 ( Advertising Expenditures)

This implies,                                              

Advertising Expenditures = [tex]\frac{100,000 - 49,250}{0.51} = \frac{50,750}{0.51}[/tex]

= 99,509.80

Hence the answer is both sales volume and advertising expenditures are 28,850 & 99,509.80.

To learn more about volume & expenditures click here https://brainly.com/question/15871053

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