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You may need to use the appropriate technology to answer this question. A data set consisting of 7 observations of a dependent variable y and two independent variables x, and x₂ was used in a regression analysis. Using x, as the only independent variable, the following function is provided. ý = 0.405 + 1.331x, The SSE for the above model is 36.735. Using both x, and x, as independent variables yields the following function. ŷ = 0.801 + 0.493x₁ -0.479x2 The SSE for this function is 1.055. Use an F test and determin if x₂ contributes significantly to the model. Let a = 0.10. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = B₂ = 0 Ho: B₂ = 0 H: B₂0 |O Ho: B1 = Bz = 0 H: One or more of the parameters is not equal to zero. O Ho: Bo = B1 = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: B₂0 H₂: B₂ = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 169.10 x

You may need to use the appropriate technology to answer this question. A data set consisting of 7 observations of a dependent variable y and two independent variables x, and x₂ was used in a regression analysis. Using x, as the only independent variable, the following function is provided. ý = 0.405 + 1.331x, The SSE for the above model is 36.735. Using both x, and x, as independent variables yields the following function. ŷ = 0.801 + 0.493x₁ -0.479x2 The SSE for this function is 1.055. Use an F test and determin if x₂ contributes significantly to the model. Let a = 0.10. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = B₂ = 0 Ho: B₂ = 0 H: B₂0 |O Ho: B1 = Bz = 0 H: One or more of the parameters is not equal to zero. O Ho: Bo = B1 = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: B₂0 H₂: B₂ = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 169.10 x

Algebra & Trigonometry with Analytic Geometry
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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I need help with the test statistic only. Thanks.

esc You may need to use the appropriate technology to answer this question. A data set consisting of 7 observations of a dependent variable y and two independent variables x, and x₂ was used in a regression analysis. Using x, as the only independent variable, the following function is provided. ý = 0.405 + 1.331X, The SSE for the above model is 36.735. Using both x, and x₂ as independent variables yields the following function. y = 0.801 + 0.493x₁ -0.479x2 The SSE for this function is 1.055. Use an F test and determine if x₂ contributes significantly to the model. Let a = 0.10. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = B₂ = 0 ⒸH₁: B₂ = 0 H₂: B₂ #0 O Ho: B1 = B2 =0 H₂: One or more of the parameters is not equal to zero. O Ho: Po=B₁ = P₂ = 0 Ha: : One or more of the parameters is not equal to zero. O Ho: B₂ #0 H₁: B₂ = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 169.10 X Find the p-value. (Round your answer to three decimal places.) p-value = .000 Is the addition of the variable x, statistically significant? ? 2 f4 1/ *** A f5 10 f6 4- f7 ♫+ fg KAA O DII P f10 0 DDI fi f12. insert prt sc W delete home end 1:59 PM 12/3/2022 pg up Q + {9} 5
Transcribed Image Text:esc You may need to use the appropriate technology to answer this question. A data set consisting of 7 observations of a dependent variable y and two independent variables x, and x₂ was used in a regression analysis. Using x, as the only independent variable, the following function is provided. ý = 0.405 + 1.331X, The SSE for the above model is 36.735. Using both x, and x₂ as independent variables yields the following function. y = 0.801 + 0.493x₁ -0.479x2 The SSE for this function is 1.055. Use an F test and determine if x₂ contributes significantly to the model. Let a = 0.10. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = B₂ = 0 ⒸH₁: B₂ = 0 H₂: B₂ #0 O Ho: B1 = B2 =0 H₂: One or more of the parameters is not equal to zero. O Ho: Po=B₁ = P₂ = 0 Ha: : One or more of the parameters is not equal to zero. O Ho: B₂ #0 H₁: B₂ = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 169.10 X Find the p-value. (Round your answer to three decimal places.) p-value = .000 Is the addition of the variable x, statistically significant? ? 2 f4 1/ *** A f5 10 f6 4- f7 ♫+ fg KAA O DII P f10 0 DDI fi f12. insert prt sc W delete home end 1:59 PM 12/3/2022 pg up Q + {9} 5
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