A marketing analyst wants to examine the relationship between sales (in $1,000s) and advertising (in $100s) for firms in the food and beverage industry and collects monthly data for 25 firms. He estimates the model: Sales = β0 +β1 Advertising + ε. The following ANOVA table shows a portion of the regression results.     df SS MS F Regression 1 78.53 78.53 3.58 Residual 23 504.02 21.91   Total 24 582.55       Coefficients Standard Error t-stat p-value Intercept 40.10 14.08 2.848 0.0052 Advertising 2.88 1.52 1.895 0.0608   If the significance level is 0.05 (α=0.05), which of the following is true about the hypothesis of β1?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
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Problem 26MCQ
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A marketing analyst wants to examine the relationship between sales (in $1,000s) and advertising (in $100s) for firms in the food and beverage industry and collects monthly data for 25 firms. He estimates the model:

Sales = β0 +β1 Advertising + ε. The following ANOVA table shows a portion of the regression results.

 

  df SS MS F
Regression 1 78.53 78.53 3.58
Residual 23 504.02 21.91  
Total 24 582.55    
  Coefficients Standard Error t-stat p-value
Intercept 40.10 14.08 2.848 0.0052
Advertising 2.88 1.52 1.895 0.0608

 

If the significance level is 0.05 (α=0.05), which of the following is true about the hypothesis of β1?

O
O
O
Reject Ho: B1=0 and conclude that the slope is significantly not equal to zero.
Accept Ho: B₁-0 and conclude that the slope is equal to zero.
Reject Ho: 31=0 and conclude that the slope is equal to zero.
Fail to reject Ho: P₁=0 and do not have sufficient evidence to conclude the slope is not equal to zero.
Transcribed Image Text:O O O Reject Ho: B1=0 and conclude that the slope is significantly not equal to zero. Accept Ho: B₁-0 and conclude that the slope is equal to zero. Reject Ho: 31=0 and conclude that the slope is equal to zero. Fail to reject Ho: P₁=0 and do not have sufficient evidence to conclude the slope is not equal to zero.
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