You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations. y = 62.480 - 1.838x₁ + 25.660x₂ SSE = 745; SSR = 596 The model was also estimated including the 3 variables. The results are: ý = 59.220 – 1.766x, + 25.635xy + 16.239Xg + 15.296xạ − 18.729×s SSE = 540; SSR = 801 (a) State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B4=B5 O Ho: B₁ = B₂= P3=B4 =B₁ = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ B₂ B3 = P4=B5 = 0 Ho: B3 B4 =B₁ = 0 H: One or more of the parameters is not equal to zero. (b) Test the null hypothesis at the 5% level of significance. Find the value of the test statistic. (Round your answer to two decimal places.) 5.64 Find the p-value. (Round your answer to three decimal places.) p-value = 091 x Is the addition of the three independent variables significant? Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the three independent variables is statistically significant. Reject H. clude that the addition of the three independent variables is not statistically signi cant
You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations. y = 62.480 - 1.838x₁ + 25.660x₂ SSE = 745; SSR = 596 The model was also estimated including the 3 variables. The results are: ý = 59.220 – 1.766x, + 25.635xy + 16.239Xg + 15.296xạ − 18.729×s SSE = 540; SSR = 801 (a) State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B4=B5 O Ho: B₁ = B₂= P3=B4 =B₁ = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ B₂ B3 = P4=B5 = 0 Ho: B3 B4 =B₁ = 0 H: One or more of the parameters is not equal to zero. (b) Test the null hypothesis at the 5% level of significance. Find the value of the test statistic. (Round your answer to two decimal places.) 5.64 Find the p-value. (Round your answer to three decimal places.) p-value = 091 x Is the addition of the three independent variables significant? Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant. O Reject Ho. We conclude that the addition of the three independent variables is statistically significant. Reject H. clude that the addition of the three independent variables is not statistically signi cant
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Transcribed Image Text:You may need to use the appropriate technology to answer this question.
We want to test whether or not the addition of 3 variables to a model will be statistically significant. You are given the following information based on a sample of 25 observations.
y = 62.480
1.838x₁ + 25.660x₂
-
SSE = 745; SSR = 596
The model was also estimated including the 3 variables. The results are:
ŷ
ý = 59.220 – 1.766x + 25.635X, + 16.239Xg + 15.296X4 – 18.729x5
SSE = 540; SSR = 801
(a) State the null and alternative hypotheses.
O
Ho:
One or more of the parameters is not equal to zero.
H₂: B3 = P4=B5
O Ho: B₁ = B₂= B3 =B4=B5=
H₂: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
H₂: B₁ = B₂= B3 = P4 = B 5 = 0
ⒸH₁: B3 =B4 = ß5 = 0
H₂: One or more of the parameters is not equal to zero.
✓
(b) Test the null hypothesis at the 5% level of significance.
Find the value of the test statistic. (Round your answer to two decimal places.)
5.64
X
Find the p-value. (Round your answer to three decimal places.)
p-value=091
X
Is the addition of the three independent variables significant?
Do not reject Ho. We conclude that the addition of the three independent variables is not statistically significant.
O Reject Ho. We conclude that the addition of the three independent variables is statistically significant.
Reject H. We conclude that the addition of the three independent variables is not statistically significant.
0
M
hp
✓
W
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