For the following, please consider the model Y = α + βX + ε. Using nine observations and OLS; the following results are obtained with t-statistics shown within parentheses under the null hypothesis that H0: α = 0 and β = 0. Y = 17.6 + 3.8 X   (1.92)   (2.35) 1)R 2 = 0.58, F = 5.52, mean of Y = 22 and the mean of X = 11. The estimated slope coefficient indicates....? 2)Testing the null hypothesis that H0: β=0 against the alternative hypothesis that....? Ha: β≠0 at the 5% significance level, we find the critical value of the test statistic is what? 3) What is the conlusion regarding the above hypothesis at the 5% significance level 4)What does the R2 statistic indicate? 5) The critical value for the F-statistic (at the 5% significance level) is what? 6) The F-statistic allows us to conclude (at the 5% significance level) that?..

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

For the following, please consider the model Y = α + βX + ε. Using nine observations and OLS; the following results are obtained with t-statistics shown within parentheses under the null hypothesis that H0: α = 0 and β = 0.

Y =

17.6

+

3.8 X

 

(1.92)

 

(2.35)

1)R 2 = 0.58, F = 5.52, mean of Y = 22 and the mean of X = 11.
The estimated slope coefficient indicates....?

2)Testing the null hypothesis that H0: β=0 against the alternative hypothesis that....?
Ha: β≠0 at the 5% significance level, we find the critical value of the test statistic is what?

3) What is the conlusion regarding the above hypothesis at the 5% significance level

4)What does the R2 statistic indicate?

5) The critical value for the F-statistic (at the 5% significance level) is what?

6) The F-statistic allows us to conclude (at the 5% significance level) that?..

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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