You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations. y = 62.480 1.838x₁ + 25.660x2 SSE = 745; SSR = 596 The model was also estimated including the 3 variables. The results are: ý = 59.220 – 1.766X, + 25.635Xz + 16.239Xg + 15.296×, − 18.729xs SSE = 540; SSR = 801 (a) State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B4=B5 O Ho: P₁= B₂= B3 =B4=B5 = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ B₂ =B3 =B4=B5 = 0 Ho: B3 =B4=B5 = 0 H: One or more of the parameters is not equal to zero. (b) Test the null hypothesis at the 5% level of significance. Find the value of the test statistic. (Round your answer to two decimal places.) 2.53 x Find the p-value. (Round your answer to three decimal places.) p-value = .088 x Is the addition of the three independent variables significant? Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the three independent variables is statistically significant.
You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations. y = 62.480 1.838x₁ + 25.660x2 SSE = 745; SSR = 596 The model was also estimated including the 3 variables. The results are: ý = 59.220 – 1.766X, + 25.635Xz + 16.239Xg + 15.296×, − 18.729xs SSE = 540; SSR = 801 (a) State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B4=B5 O Ho: P₁= B₂= B3 =B4=B5 = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ B₂ =B3 =B4=B5 = 0 Ho: B3 =B4=B5 = 0 H: One or more of the parameters is not equal to zero. (b) Test the null hypothesis at the 5% level of significance. Find the value of the test statistic. (Round your answer to two decimal places.) 2.53 x Find the p-value. (Round your answer to three decimal places.) p-value = .088 x Is the addition of the three independent variables significant? Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the three independent variables is statistically significant.
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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We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations.
ý = 62.480 – 1.838x + 25.660X2
SSE = 745; SSR = 596
The model was also estimated including the 3 variables. The results are:
ŷ=
Ỹ = 59.220 – 1.766xq + 25.635X, + 16.239Xg + 15.296x4 – 18.729X,
SSE = 540; SSR = 801
(a) State the null and alternative hypotheses.
O
Ho:
One or more of the parameters is not equal to zero.
H₂: B3 = P4=B5
O Ho: P₁ = P₂ = B3 = P4=B5 = 0
H₂: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
H₂: B₁ = B₂ = B3 =B4 =B5 = 0
Ho: B3 = P4 = B ₁ = 0
H₂: One or more of the parameters is not equal to zero.
(b) Test the null hypothesis at the 5% level of significance.
Find the value of the test statistic. (Round your answer to two decimal places.)
2.53
X
Find the p-value. (Round your answer to three decimal places.)
p-value
= .088
=
X
Is the addition of the three independent variables significant?
Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant.
O Reject Ho. We conclude that the addition of the three independent variables is statistically significant.
H
M
hp
W
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