Modern Business Statistics with Microsoft Excel (MindTap Course List)
Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Chapter 16.2, Problem 10E

In a regression analysis involving 27 observations, the following estimated regression equation was developed.

y ^ = 25.2 + 5.5 x 1

For this estimated regression equation SST = 1550 and SSE = 520.

a. At α = .05, test whether x1 is significant.

Suppose that variables x2 and x3 are added to the model and the following regression equation is obtained.

y ^ = 16.3 + 2.3 x 1 + 12.1 x 2 5.8 x 3

For this estimated regression equation SST = 1550 and SSE = 100.

b. Use an F test and a .05 level of significance to determine whether x2 and x3 together contribute significantly to the model.

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