A consulting group offers courses in financial management for executives. At the end of these courses, participants
Question:
Y = β0 + β1X1 + β2X2 + β3X3 + ε
was fitted for 25 such courses, where
Y = average rating by participants of the course
X= = percentage of course time spent in group discussion sessions
X2 = amount of money (in dollars) per course member spent on the preparation of subject matter material
X3 = amount of money per course member spent on the provision of non-course-related material (food, drinks, and so forth)
Part of the SAS computer output for the fitted regression is shown next.
R@Square = 0.579
a. Interpret the estimated regression coefficients.
b. Interpret the coefficient of determination.
c. Test, at the 5% level, the null hypothesis that, taken together, the three independent variables do not linearly influence the course rating.
d. Find and interpret a 90% confidence interval for β1.
e. Test the null hypothesis
H0: β2 = 0
against the alternative
H0: β2 > 0
and interpret your result.
f. Test at the 10% level the null hypothesis
H0: β3 = 0
against the alternative
H0: β2 ‰ 0
and interpret your result.
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Related Book For
Statistics For Business And Economics
ISBN: 9780132745659
8th Edition
Authors: Paul Newbold, William Carlson, Betty Thorne
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