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 + 1.3385x₁ + 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 =B4 = 0 O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B₁ = 0 OHO: B3 =B4 = 0 H: None of the parameters are equal to zero. Ho: B3 B4 = 0 H: One or more of the parameters is not equal to zero. O Ho: B₁ = B₂ = B3 =B4 = 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. O Do not reject H. 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 + 1.3385x₁ + 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 =B4 = 0 O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B₁ = 0 OHO: B3 =B4 = 0 H: None of the parameters are equal to zero. Ho: B3 B4 = 0 H: One or more of the parameters is not equal to zero. O Ho: B₁ = B₂ = B3 =B4 = 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. O Do not reject H. We conclude that the addition of the two added independent variables is not statistically significant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.
ý = 1.9 – 3X + 12X2 + 4Xg + 8x,
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 =B4 = 0
O Ho: One or more of the parameters is not equal to zero.
H₂: B3 =B4 = 0
O Ho: B3 = P4 = 0
H₂: None of the parameters are equal to zero.
ⒸH₁: B3 =B₁ = 0
H: One or more of the parameters is not equal to zero.
O Ho: B₁ = P₂ = B3 =B4 = 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.
O Do not reject H. We conclude that the addition of the two added independent variables is not statistically significant.
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