You may need to use the appropriate technology to answer this question. In a regression analysis involving 27 observations, the following estimated regression equation was developed. ŷ = 25.2 + 5.5x1 For this estimated regression equation SST = 1,550 and SSE = 570. (a) At α = 0.05, test whether x1 is significant. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) Suppose that variables x2 and x3 are added to the model and the following regression equation is obtained. ŷ = 16.3 + 2.3x1 + 12.1x2 − 5.8x3 For this estimated regression equation SST = 1,550 and SSE = 100. (b) Use an F test and a 0.05 level of significance to determine whether x2 and x3 contribute significantly to the model. Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.)
You may need to use the appropriate technology to answer this question. In a regression analysis involving 27 observations, the following estimated regression equation was developed. ŷ = 25.2 + 5.5x1 For this estimated regression equation SST = 1,550 and SSE = 570. (a) At α = 0.05, test whether x1 is significant. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) Suppose that variables x2 and x3 are added to the model and the following regression equation is obtained. ŷ = 16.3 + 2.3x1 + 12.1x2 − 5.8x3 For this estimated regression equation SST = 1,550 and SSE = 100. (b) Use an F test and a 0.05 level of significance to determine whether x2 and x3 contribute significantly to the model. Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.)
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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Question
You may need to use the appropriate technology to answer this question.
In a regression analysis involving 27 observations, the following estimated regression equation was developed.
ŷ = 25.2 + 5.5x1
For this estimated regression equation SST = 1,550 and SSE = 570.
(a)
At α = 0.05, test whether
x1
is significant.Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
Suppose that variables
x2 and x3
are added to the model and the following regression equation is obtained.ŷ = 16.3 + 2.3x1 + 12.1x2 − 5.8x3
For this estimated regression equation SST = 1,550 and SSE = 100.
(b)
Use an F test and a 0.05 level of significance to determine whether
x2 and x3
contribute significantly to the model.Find the value of the test statistic.
Find the p-value. (Round your answer to three decimal places.)
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