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 + 1.3385x₁ + 2x₂ The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided. ý = 1.9 − 3Xq + 12X, +4X3 + 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. Ha: 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 =B4 = 0 H: None of the parameters are equal to zero. O 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.) Find the p-value. (Round your answer to three decimal places.) p-value = 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 Ho. We conclude that the addition of the two added independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the two added independent variables is 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. ý = 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. ý = 1.9 − 3Xq + 12X, +4X3 + 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. Ha: 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 =B4 = 0 H: None of the parameters are equal to zero. O 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.) Find the p-value. (Round your answer to three decimal places.) p-value = 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 Ho. We conclude that the addition of the two added independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the two added independent variables is statistically significant.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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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.
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 = P₂ = P3 =B4 = 0
B1
O Ho: One or more of the parameters is not equal to zero.
H₂: B3 =B₁ = 0
O Ho: B3 = P4 = 0
H₂: None of the parameters are equal to zero.
O Ho: B3 B4=
=
=
H₂: One or more of the parameters is not equal to zero.
O Ho: P₁ = P₂ = P3= P4=
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.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
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 Ho. We conclude that the addition of the two added independent variables is not statistically significant.
Reject Ho. We conclude that the addition of the two added independent variables is statistically significant.
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