You may need to use the appropriate technology to answer this question. A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information. ŷ= 0.406 + 1.3385x₂ + 2x₂ The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided. 9= 1.9 - 3x₁ + 12x₂ + 4x3 + 8x4 This model's SSE is 36. At a 0.05 level of significance, test to determine if the two added independent variables contribute significantly to the model. State the relevant null and alternative hypotheses. OH: One or more of the parameters is not equal to zero. H₂: B₁-B₂ B3 = P₁ = 0 OH: One or more of the parameters is not equal to zero. H₂: B3 B4 = 0 O Ho: B3 =B₁ = 0 H: None of the parameters are equal to zero. Ho: B3 =B₁ = 0 H: One or more of the parameters is not equal to zero. O Ho: B1 = B₂= B₂ =B₁ = 0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) 3.99 x Find the p-value. (Round your answer to three decimal places.) p-value=026 x Is the addition of the two added independent variables statistically significant? O Do not reject Ho- We conclude that the addition of the two added independent variables is statistically significant. Do not relect He. We conclude that the addition of the two added independent variables is not statistically significant
You may need to use the appropriate technology to answer this question. A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information. ŷ= 0.406 + 1.3385x₂ + 2x₂ The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided. 9= 1.9 - 3x₁ + 12x₂ + 4x3 + 8x4 This model's SSE is 36. At a 0.05 level of significance, test to determine if the two added independent variables contribute significantly to the model. State the relevant null and alternative hypotheses. OH: One or more of the parameters is not equal to zero. H₂: B₁-B₂ B3 = P₁ = 0 OH: One or more of the parameters is not equal to zero. H₂: B3 B4 = 0 O Ho: B3 =B₁ = 0 H: None of the parameters are equal to zero. Ho: B3 =B₁ = 0 H: One or more of the parameters is not equal to zero. O Ho: B1 = B₂= B₂ =B₁ = 0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) 3.99 x Find the p-value. (Round your answer to three decimal places.) p-value=026 x Is the addition of the two added independent variables statistically significant? O Do not reject Ho- We conclude that the addition of the two added independent variables is statistically significant. Do not relect He. We conclude that the addition of the two added independent variables is not 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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Transcribed Image Text:You may need to use the appropriate technology to answer this question.
A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information.
ý = 0.406 + 1.3385X + 2X2
The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided.
ŷ = 1.9 - 3x₁ + 12x₂ + 4x3 + 8x4
This model's SSE is 36.
At a 0.05 level of significance, test to determine if the two added independent variables contribute significantly to the model.
State the relevant null and alternative hypotheses.
O Ho: One or more of the parameters is not equal to zero.
H₂: B₁ = B₂= B3 = P4 = 0
OH: One or more of the parameters is not equal to zero.
H₂: B3 =B₁ = 0
O Ho: B3 =B4 = 0
H₂: None of the parameters are equal to zero.
H₁: B3 =B4 = 0
H₂: One or more of the parameters is not equal to zero.
O Ho: B₁ = B₂= B3 =B4 = 0
H₂: One or more of the parameters is not equal to zero.
✔
Find the value of the test statistic. (Round your answer to two decimal places.)
3.99
X
Find the p-value. (Round your answer to three decimal places.)
p-value = .026
X
Is the addition of the two added independent variables statistically significant?
O Do not reject Ho. We conclude that the addition of the two added independent variables is statistically significant.
Do not reject H. We conclude that the addition of the two added independent variables is not statistically significant.
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