Homework Help is Here – Start Your Trial Now!
Math
Statistics
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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS