What is the value of the test statistic regarding whether the predictor variables jointly influence sales (round to 3 decimal places)?  At the 5% significance level, do the predictor variables jointly influence sales?

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

At the 5% significance level, do the predictor variables jointly influence sales?

 

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 =
Bo + B1Unemployment + B2Advertising + E. A portion of the regression results is shown in
the accompanying table.
ANOVA
df
SS
MS
F
Significance F
72.6374
36.3187
4.1460
8.760
Regression
Residual
0.003
14
58.0438
Total
16
130.681
Standard
Coefficients
Error
t Stat
p-Value
0.007
Intercept
Unemployment
Advertising
17.5060
3.9817
4.397
-0.6879
0.2997
-2.296
0.038
0.0266
0.0068
3.932
0.002
Transcribed Image Text: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 = Bo + B1Unemployment + B2Advertising + E. A portion of the regression results is shown in the accompanying table. ANOVA df SS MS F Significance F 72.6374 36.3187 4.1460 8.760 Regression Residual 0.003 14 58.0438 Total 16 130.681 Standard Coefficients Error t Stat p-Value 0.007 Intercept Unemployment Advertising 17.5060 3.9817 4.397 -0.6879 0.2997 -2.296 0.038 0.0266 0.0068 3.932 0.002
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