What is the purpose of performing individual t-tests after carrying out the overall F-test? What are the differences in the interpretation of the two tests?
What is the purpose of performing individual t-tests after carrying out the overall F-test? What are the differences in the interpretation of the two tests?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
What is the purpose of performing individual t-tests after carrying out the overall F-test? What are the differences in the interpretation of the two tests?
![OLS Regression Results
R-squared:
Adj. R-squared:
Dep. Variable:
0.821
mpg
OLS
Model:
0.808
Method:
Least Squares
F-statistic:
61.98
Prob (F-statistic) :
Log-Likelihood:
Date:
Wed, 07 Oct 2020
8.10e-11
Time:
11:19:54
-70.463
No. Observations:
30
AIC:
146.9
Df Residuals:
27
BIC:
151.1
Df Model:
2
Covariance Type:
nonrobust
coef
std err
P>lt|
[0.025
0.975]
Intercept
37.1838
1.650
22.540
0.000
33.799
40.569
wt
-3.8810
0.658
-5.902
0.000
-5.230
-2.532
hp
-0.0309
0.010
-3.201
0.003
-0.051
-0.011
Omnibus:
4.159
Durbin-Watson:
2.606
Prob (Omnibus) :
0.125
3.100
Jarque-Bera (JB) :
Prob (JB) :
Skew:
0.784
0.212
Kurtosis:
3.147
Cond. No.
561.
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe3e5ed4-a864-47ba-ae80-e9432e0c9ca5%2F9f82781f-2929-417c-9ce7-1ea81176b1cb%2Fuj2vfhk_processed.png&w=3840&q=75)
Transcribed Image Text:OLS Regression Results
R-squared:
Adj. R-squared:
Dep. Variable:
0.821
mpg
OLS
Model:
0.808
Method:
Least Squares
F-statistic:
61.98
Prob (F-statistic) :
Log-Likelihood:
Date:
Wed, 07 Oct 2020
8.10e-11
Time:
11:19:54
-70.463
No. Observations:
30
AIC:
146.9
Df Residuals:
27
BIC:
151.1
Df Model:
2
Covariance Type:
nonrobust
coef
std err
P>lt|
[0.025
0.975]
Intercept
37.1838
1.650
22.540
0.000
33.799
40.569
wt
-3.8810
0.658
-5.902
0.000
-5.230
-2.532
hp
-0.0309
0.010
-3.201
0.003
-0.051
-0.011
Omnibus:
4.159
Durbin-Watson:
2.606
Prob (Omnibus) :
0.125
3.100
Jarque-Bera (JB) :
Prob (JB) :
Skew:
0.784
0.212
Kurtosis:
3.147
Cond. No.
561.
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman