The statsmodels ols() method is used on an exam scores dataset to fit a multiple regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3 are used as predictor variables. The general form of this model is: Y = Bo + B,Examl+ B2Exam2 + B3Exam3 If the level of significance, alpha, is 0.10, based on the output shown, is Exam 1 statistically significant in the multiple regression model shown above? Select one. A text version of this output is available.
The statsmodels ols() method is used on an exam scores dataset to fit a multiple regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3 are used as predictor variables. The general form of this model is: Y = Bo + B,Examl+ B2Exam2 + B3Exam3 If the level of significance, alpha, is 0.10, based on the output shown, is Exam 1 statistically significant in the multiple regression model shown above? Select one. A text version of this output is available.
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
Question
![The statsmodels ols() method is used on an exam scores dataset to fit a multiple
regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3
are used as predictor variables. The general form of this model is:
Y = Po + P,Examl+ B2Exam2 + B3Exam3
If the level of significance, alpha, is 0.10, based on the output shown, is Exam1
statistically significant in the multiple regression model shown above? Select one.
A text version of this output is available.
OLS Regression Results
Dep. Variable:
Model:
Method:
R-squared:
Adj. R-squared:
F-statistic:
Prob (F-statistic):
Log-Likelihood:
AIC:
BIC:
0.178
0.125
3.329
0.0276
-169.85
347.7
355.4
Exam4
Date:
Time:
No. Observations:
Df Residuals:
Df Model:
Covariance Type:
OLS
Least Squares
Sun, 18 Aug 2019
10:59:12
50
46
3
nonrobust
coef
std err
t
P>|t|
[0.025
0.975]
Intercept
Examl
Exam2
Exam3
46.2612
0.1742
0.1462
0.0575
10.969
0.120
0.078
0.053
4.217
1.453
1.873
1.085
0.000
0.153
0.067
0.284
24.181
-0.067
-0.011
-0.049
68.341
0.416
0.303
0.164
Omnibus:
Prob(Omnibus):
skew:
Kurtosis:
0.886
0.642
0.290
2.868
Durbin-Watson:
Jarque-Bera (JB):
Prob(JB):
Cond. No.
1.530
0.738
0.691
1.41e+03](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab04051d-220f-4e22-ad42-dacf93a25243%2F671ddb3d-0594-4205-a891-10ff8fafd3f1%2F412u7xac_processed.png&w=3840&q=75)
Transcribed Image Text:The statsmodels ols() method is used on an exam scores dataset to fit a multiple
regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3
are used as predictor variables. The general form of this model is:
Y = Po + P,Examl+ B2Exam2 + B3Exam3
If the level of significance, alpha, is 0.10, based on the output shown, is Exam1
statistically significant in the multiple regression model shown above? Select one.
A text version of this output is available.
OLS Regression Results
Dep. Variable:
Model:
Method:
R-squared:
Adj. R-squared:
F-statistic:
Prob (F-statistic):
Log-Likelihood:
AIC:
BIC:
0.178
0.125
3.329
0.0276
-169.85
347.7
355.4
Exam4
Date:
Time:
No. Observations:
Df Residuals:
Df Model:
Covariance Type:
OLS
Least Squares
Sun, 18 Aug 2019
10:59:12
50
46
3
nonrobust
coef
std err
t
P>|t|
[0.025
0.975]
Intercept
Examl
Exam2
Exam3
46.2612
0.1742
0.1462
0.0575
10.969
0.120
0.078
0.053
4.217
1.453
1.873
1.085
0.000
0.153
0.067
0.284
24.181
-0.067
-0.011
-0.049
68.341
0.416
0.303
0.164
Omnibus:
Prob(Omnibus):
skew:
Kurtosis:
0.886
0.642
0.290
2.868
Durbin-Watson:
Jarque-Bera (JB):
Prob(JB):
Cond. No.
1.530
0.738
0.691
1.41e+03

Transcribed Image Text:Null Hypothesis Ho: B1 = 0
Alternative Hypothesis H;: B1 # 0
P-value = 0.153
Since the P-value is greater than the level of significance, alpha, reject the null
hypothesis. Conclude that the estimate for the Exam1 parameter is non-zero.
Therefore, Exam1 is statistically significant in the multiple regression model.
Null Hypothesis H,: B1 = 0
Alternative Hypothesis H1: B1 + 0
P-value = 0.1742
%3D
Since the P-value is greater than the level of significance, alpha, reject the null
hypothesis and conclude that the estimate for the Exam1 parameter is non-zero.
Therefore, Exam1 is statistically significant in the multiple regression model.
Null Hypothesis Ho: B1 = 0
Alternative Hypothesis H1: B1 + 0
P-value = 0.153
%3D
Since the P-value is greater than the level of significance, alpha, do not reject the
null hypothesis. Conclude that the estimate for the Exam1 parameter is zero.
Therefore, Exam1 is not statistically significant in the multiple regression model..
Null Hypothesis Ho: B1 = 0
Alternative Hypothesis H1: B1 + 0
P-value = 0.1742
Since the P-value is greater than the level of significance, alpha, do not reject the
null hypothesis. Conclude that the estimate for the Exam1 parameter is zero.
Therefore, Exam1 is not statistically significant in the multiple regression model.
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

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