The statsmodels ols) method is used on a cars dataset to fit a multiple regression model using Quality as the response variable. Speed and Angle are used as predictor variables. The general form of this model is: Y - P. - P,Speed + Pzdngle If the level of significance, alpha, is 0.10, based on the output shown, is Angle 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: Date: Time: Quality OLS R-squared: Adj. Rsquared: F-statistic: Prob (F-statistic): Log-Líkelihood: ATČ: 0.978 0.975 332.2 3.80e-13 -21.142 48.28 50.95 Least Squares Sun, 18 Aug 2019 l1:39:31 No. observations: of Residuals: 18 15 BIC: Covariance Type: nonrobust coef std err P>It| [0.025 0.975] Intercept Speed Angle 0.5382 1.9046 4.0280 0.473 0.176 0. 178 1.137 10.834 22.574 0.273 0.000 0.000 -0.471 -2.279 3.648 1. 547 1.530 4.408 Ouni bus: Prob(Omnibus): skew: Kurtosis: 4.358 0.113 0.082 1.637 Durbin-Natson: Jarque-Rera (JR): Prob(JB): 2.121 1.414 0.493 14.4 Cond. No. O Null Hypothesis „, =0 Alternative Hypothesis #, A +0 P-value - 4.0280 Since the P-value is greater than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis M,: B=0 Alternative Hypothesis A +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis H,: 2=0 Alternative Hypothesis A +0 P-value = 4.0280 Since the P-value is greater than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model. O Null Hypothesis #;: 2=0 Alternative Hypothesis #: +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model.

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
icon
Concept explainers
Question
The statsmodels ols() method is used on a cars dataset to fit a multiple regression
model using Quality as the response variable. Speed and Angle are used as predictor
variables. The general form of this model is:
Y - B, + P;Speed + PyAngle
If the level of significance, alpha, is 0.10, based on the output shown, is Angle
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:
Date:
Time:
No. observations:
Df Residuals:
of Nodel:
Covariancе Туре:
R-squar ed:
Adj.
F-statistic:
Prob (F-statistic):
Log-Likelihood:
Quality
0.97A
0.975
332.2
3.80e-13
-21.142
48.28
50.95
OLS
squar ed:
Least Squares
Sun, 18 Aug 2019
11:39:31
18
15
ATC:
BIC:
2
nonrobust
coef
std err
P>t|
[0.025
0.975]
t
Intercept
0.5382
1.9046
4.0280
0.473
0.176
0.178
1.137
Speed
Angle
-10.834
22.574
0.273
0.000
0.000
-0.471
2.279
3.648
1.547
1.530
4.408
Onnibus:
Prob(Onnibus):
skew:
Kurtosis:
4.358
0.113
0.082
1.637
Durbin-Watson:
Jarque-Bera (J8):
Prob(JB):
Cond. No.
2.121
1.414
0.493
14.4
Null Hypothesis ,: =0
Alternative Hypothesis #,: A +0
P-value = 4.0280
Since the P-value is greater than the level of significance, alpha, reject the null
hypothesis. Conclude that the estimate for the Angle parameter is non-zero.
Therefore, Angle is statistically significant in the multiple regression model.
O Null Hypothesis #: =0
Alternative Hypothesis M, A +0
P-value = 0.000
Since the P-value is less than the level of significance, alpha, reject the null
hypothesis. Conclude that the estimate for the Angle parameter is non-zero.
Therefore, Angle is statistically significant in the multiple regression model.
O Null Hypothesis #, =0
Alternative Hypothesis #,: 2 +0
P-value = 4.0280
Since the P-value is greater than the level of significance, alpha, do not reject the
null hypothesis. Conclude that the estimate for the Angle parameter is zero.
Therefore, Angle is not statistically significant in the multiple regression model.
O Null Hypothesis #. =0
Alternative Hypothesis #,: A +0
P-value = 0.000
Since the P-value is less than the level of significance, alpha, do not reject the
null hypothesis. Conclude that the estimate for the Angle parameter is zero.
Therefore, Angle is not statistically significant in the multiple regression model.
Transcribed Image Text:The statsmodels ols() method is used on a cars dataset to fit a multiple regression model using Quality as the response variable. Speed and Angle are used as predictor variables. The general form of this model is: Y - B, + P;Speed + PyAngle If the level of significance, alpha, is 0.10, based on the output shown, is Angle 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: Date: Time: No. observations: Df Residuals: of Nodel: Covariancе Туре: R-squar ed: Adj. F-statistic: Prob (F-statistic): Log-Likelihood: Quality 0.97A 0.975 332.2 3.80e-13 -21.142 48.28 50.95 OLS squar ed: Least Squares Sun, 18 Aug 2019 11:39:31 18 15 ATC: BIC: 2 nonrobust coef std err P>t| [0.025 0.975] t Intercept 0.5382 1.9046 4.0280 0.473 0.176 0.178 1.137 Speed Angle -10.834 22.574 0.273 0.000 0.000 -0.471 2.279 3.648 1.547 1.530 4.408 Onnibus: Prob(Onnibus): skew: Kurtosis: 4.358 0.113 0.082 1.637 Durbin-Watson: Jarque-Bera (J8): Prob(JB): Cond. No. 2.121 1.414 0.493 14.4 Null Hypothesis ,: =0 Alternative Hypothesis #,: A +0 P-value = 4.0280 Since the P-value is greater than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis #: =0 Alternative Hypothesis M, A +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis #, =0 Alternative Hypothesis #,: 2 +0 P-value = 4.0280 Since the P-value is greater than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model. O Null Hypothesis #. =0 Alternative Hypothesis #,: A +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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