Cascade Pharmaceuticals Company developed the following regression model, using time-series data from the past 33 quarters, for one of its nonprescription cold remedies: Y=-1.04+0.24X1 -0.27X2 where Y = quarterly sales (in thousands of cases) of the cold remedy X₁ = Cascade's quarterly advertising (× $1,000) for the cold remedy X2 = competitors' advertising for similar products (× $10,000) Here is additional information concerning the regression model: Sb1 = 0.052, sbg = 0.090, R² = 0.640, se = 1.63, F-statistic = 31.402, and Durbin-Watson (d) statistic = 0.499. Sb2 Which of the independent variables (if any) appears to be statistically significant (at the 0.05 level) in explaining sales of the cold remedy? (Hint: to.05/2,33-3=2.042.) Check all that apply. X1 X2 What proportion of the total variation in sales is explained by the regression equation? ○ 0.052 0.142 ○ 0.090 ○ 0.640 The given F-value shows that you, reject the null hypothesis that neither of the independent variables explains a significant (at the 0.05 level) proportion of the variation in income. (Hint: F0.05,2,33-2-1=3.316.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter4: Estimating Demand
Section: Chapter Questions
Problem 4E
Question
100%
Cascade Pharmaceuticals Company developed the following regression model, using time-series data from the past 33 quarters, for one of its
nonprescription cold remedies:
Y=-1.04+0.24X1 -0.27X2
where
Y = quarterly sales (in thousands of cases) of the cold remedy
X₁ = Cascade's quarterly advertising (× $1,000) for the cold remedy
X2 = competitors' advertising for similar products (× $10,000)
Here is additional information concerning the regression model:
Sb1 = 0.052, sbg = 0.090, R² = 0.640, se = 1.63, F-statistic = 31.402, and Durbin-Watson (d) statistic = 0.499.
Sb2
Which of the independent variables (if any) appears to be statistically significant (at the 0.05 level) in explaining sales of the cold remedy? (Hint:
to.05/2,33-3=2.042.) Check all that apply.
X1
X2
What proportion of the total variation in sales is explained by the regression equation?
○ 0.052
0.142
○ 0.090
○ 0.640
The given F-value shows that you,
reject the null hypothesis that neither of the independent variables explains a significant (at the 0.05
level) proportion of the variation in income. (Hint: F0.05,2,33-2-1=3.316.)
Transcribed Image Text:Cascade Pharmaceuticals Company developed the following regression model, using time-series data from the past 33 quarters, for one of its nonprescription cold remedies: Y=-1.04+0.24X1 -0.27X2 where Y = quarterly sales (in thousands of cases) of the cold remedy X₁ = Cascade's quarterly advertising (× $1,000) for the cold remedy X2 = competitors' advertising for similar products (× $10,000) Here is additional information concerning the regression model: Sb1 = 0.052, sbg = 0.090, R² = 0.640, se = 1.63, F-statistic = 31.402, and Durbin-Watson (d) statistic = 0.499. Sb2 Which of the independent variables (if any) appears to be statistically significant (at the 0.05 level) in explaining sales of the cold remedy? (Hint: to.05/2,33-3=2.042.) Check all that apply. X1 X2 What proportion of the total variation in sales is explained by the regression equation? ○ 0.052 0.142 ○ 0.090 ○ 0.640 The given F-value shows that you, reject the null hypothesis that neither of the independent variables explains a significant (at the 0.05 level) proportion of the variation in income. (Hint: F0.05,2,33-2-1=3.316.)
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