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The directors of marketing at Vanguard Corporation believes that sales of the co

ID: 3245124 • Letter: T

Question

The directors of marketing at Vanguard Corporation believes that sales of the company’s Bright Side laundry detergent are related to Vanguards own advertising expenditure as well as the combined advertising expenditures of its three biggest rival detergents. The marketing director collects 36 weekly observations on these variables to estimate the following regression:

                        

                                                                                                Coefficient                   P Value

Intercept                                                                                 175086.0                     0.0098

Advertising                                                                             0.8550                         0.0128

Rivals Advertising                                                                  -0.284                          0.927

           

R2 = 0.2247

F = 4.781        P Value on F 0.0150

Fully Evaluate and Interpret these empirical results on the basis of all available statistics (use a 0.05 significance level).

Explanation / Answer

sales = b0 + b1 *Advertising + b2 * Rivals_advertising

here b0 = 175086 , b1 = 0.855 ,b2 = -0.284

sales^ = 175086 +0.855*Advertising -0.284 * Rivals_advertising

if other things remains constant ,increasing Advertising 1 unit increase sales by 0.8550 units

if other things remains constant ,increasing Rivals Advertising 1 unit decrease sales by -0.284 units

if no advertising and no rivals advertising , then sales is 175086

when p-value is less than alpha, variables are significant

at 0.05 significance level ,intercept and Advertisng are significant

Rivals Advertising is not significant

r^2 = 0.2247

it means that this model explains 22.47 % of total variation

P-value for F = 0.0150 < 0.05

hence the model is significant at 0.05 significance level).

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