MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A manager at a roadside cafe is concerned that the weak economic environment has caused a decline in sales. To offset the decline in sales, the manager has pursued a strong advertising campaign (billboards up and down the road). She believes advertising expenditures have a positive influence on sales. To support her claim, the manager estimates the following linear regression model: Sales = β0 + β1Unemployment + β2Advertising ε. A portion of the regression results is shown in the accompanying table.

 

ANOVA

df

SS

MS

F

Significance F

Regression

2

72.6374

36.3187

8.760

0.003

Residual

14

58.0438

4.1460

 

 

Total

16

130.681

 

 

 

 

 

 

Coefficients

Standard
Error

t Stat

p-Value

Intercept

17.5060

3.9817

4.397

0.007

Unemployment

–0.6879

0.2997

–2.296

0.038

Advertising

0.0266

0.0068

3.932

0.002

 
  1. What is the value of the test statistic regarding whether the predictor variables jointly influence sales (round to 3 decimal places)? 

 

  1. At the 5% significance level, do the predictor variables jointly influence sales? (Y/N) 

 

  1. Is Advertising negatively related with sales? (Y/N) 

 

  1. Are both Unemployment and Advertising statistically significant in this model? (Y/N) 

 

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