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�=−1.04+0.24�1−0.27�2 where Y� = quarterly sales (in thousands of cases) of the cold remedy X1�1 = Cascade's quarterly advertising (× $1,000) for the cold remedy X2�2 = competitors' advertising for similar products (× $10,000) Here is additional information concerning the regression model: sb1=0.042�b1=0.042, sb2=0.070�b2=0.070, R2=0.720�2=0.720, se=1.63��=1.63, F-statistic=31.402F-statistic=31.402, and Durbin-Watson (d) statistic=0.499Durbin-Watson (d) statistic=0.499. 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: t0.05/2,33 - 3=2.042�0.05/2,33 - 3=2.042.) Check all that apply. X1�1 X2�2 What proportion of the total variation in sales is explained by the regression equation? 0.720 0.042 0.112 0.070 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�0.05,2,33 - 2 - 1=3.316.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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�=−1.04+0.24�1−0.27�2

where

Y� = quarterly sales (in thousands of cases) of the cold remedy

X1�1 = Cascade's quarterly advertising (× $1,000) for the cold remedy

X2�2 = competitors' advertising for similar products (× $10,000)

Here is additional information concerning the regression model:

sb1=0.042�b1=0.042, sb2=0.070�b2=0.070, R2=0.720�2=0.720, se=1.63��=1.63, F-statistic=31.402F-statistic=31.402, and Durbin-Watson (d) statistic=0.499Durbin-Watson (d) statistic=0.499.

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: t0.05/2,33 - 3=2.042�0.05/2,33 - 3=2.042.) Check all that apply.

X1�1

X2�2

What proportion of the total variation in sales is explained by the regression equation?

0.720

0.042

0.112

0.070

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�0.05,2,33 - 2 - 1=3.316.)

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