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
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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I need help with the test statistic only. Thanks.
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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 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?
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