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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
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: ?' - B, + 315pood + ByAngle 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. 015 Regression Results Dop. Variable: Quality R-squared: 0. 978 Model: OLS Adj . R-squared: 0. 975 Method: Least Squares F-statistic: 2 ' ZEE GTOZ Gny ST 'uns Prob (F-statistic): 3. 809-13 Time: 11:39:31 Log-Likelihood: -21. 142 No. Observations: MIC! 48 . 28 Of Residuals: 15 BIC! 50 . 95 of Model: Covariance Type: monrobust std err ID . 025 0. 9751 Inter cept 0. 5382 0. 473 1. 137 0. 273 -0. 471 1. 547 Speed -1.9046 0. 176 -10. 834 D. DOO -2. 279 -1. 530 Angle 4.0250 D. 178 22. 574 3. 648 4. 408 Curri bus : 4..358 Durbin-Matson : 2. 121 Prob (Onmibus ) : 0. 113 Jarque-Born (38): 1. 414 Skew: 0. 082 Prob(18) : Kur tos is: 1. 637 Cond. No. 14. 4 Null Hypothesis Ho: $= 0 Alternative Hypothesis M.: $ $ 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. Null Hypothesis Ho: = 0 Alternative Hypothesis #: A 7 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. Null Hypothesis Ho: = 0 Alternative Hypothesis #: $ 7 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 #: A= 0 Alternative Hypothesis #: $ 7 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.The statsmodels ols() method is used on an exam scores dataset to fit a multiple regression model using Exam4 as the response variable. Exami, Exam2, and Exam3 are used as predictor variables. The general form of this model is: 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. ALS Racrassion Results Dep. Variable: 0. 178 Model: COILS Adj. R-squared: 0. 125 Method: Least Squares 6ZEE sum, 14 20g 2019 0. 0276 Time: Fhood: -109. 45 No. Observations: 347.7 Of Residuals: 355.4 of Model: Covariance Type: marrdust 5to err [0. 02) intercept 16. 7617 10.969 24. 101 GU . J.41 Exuil 0.1/2 U. 110 Exull 0.1-462 0JOLT -U.011 U. JUJ 0.0575 0.031 10. 204 -U. 0-19 U . 164 Onribus: 1. 5 JU Prob (Omnibus) : Jarque-Bera (JE): U. 738 Skew: Frat ( JE): 0.691 Kurtosis: 1. 41e+03 Null Hypothesis ly- & =0 Alternative Hypothesis $1. A + 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 Exam parameter is zero. Therefore, Exam is not statistically significant in the multiple regression model. Null Hypothesis ly- & =0 Alternative Hypothesis h. A - 0 P-value = 0.153 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, Exarnd is not statistically significant in the multiple regression model.. Null Hypothesis Ho # =0 Alternative Hypothesis h. A * 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, Exarn1 is statistically significant in the multiple regression model. O Null Hypothesis Ho / =0 Alternative Hypothesis . A * 0 P- value = 0.1742 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, Exam is statistically significant in the multiple regression model.A multiple regression model is Y = 8.114 + 2.005X] + 0.774X2 Which of the following values is the estimate for the intercept parameter? Select one. 8.114 0.774 O 1.000 O 2.005A multiple regression model is Y = 8.114+ 2.005X] + 0.774X2 Which of the following values is the estimate for the X2 slope parameter? Select one. 1.000 0.774 2.005 O 8.114What is the purpose of performing the overall Ftest? Select one. C. It is used to estimate the sum of squared residuals. (W, It is used to test whether at least one of the predictor variables is significant in \\_J a regression model. (W, It is used to test two regression models to test whether additional predictor \\_./ variables should be added in the model. ,/\"-, It is used to test if a specific predictor variable is significant in a regression \\_/ model
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