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
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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.
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