MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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.
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