Chapter 7 quiz - 7-3 Quiz_ Python Functions Quiz

7-3 Quiz: Python Functions Question 1 3 / 3 points 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: ¥ = By + P Examl + Py Exam2 + p;Exam3 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 [ SELENLLH L PSS VELET F-statistic: Y NGRS\ alaH Time: H Log-Likelihood: No. Observations: AIC: [ G T TEY R BIC: el: Covariance Type: [0.025 46.2612 0.1742 0.1462 . 0.0575 . 1.085 0.886 Durbin-watson: Jarque-Bera (JB): Prob(JB):

Null Hypothesis Hy Alternative Hypothesis /- P1# 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 Hy: B =0 Alternative Hypothesis 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, Exam1 is statistically significant in the multiple regression model. Null Hypothesis Hy: By =0 Alternative Hypothesis 111 A1 # 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 Hy: By =0 Alternative Hypothesis 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, Exam1 is not statistically significant in the multiple regression model..

Question 5 3/ 3 points 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: ¥ = o+ BySpeed+ Byangle If the level of significance, alpha, is 0.05, based on the output shown, what is the correct interpretation of the overall F-test? (Hint: Prob (F-statistic) is the P-value). Select one. A text version of this output is available.

Null Hypothesis #o- B1=B2=0 Alternative Hypothesis % Atlsastone g, # Ofori=1.2 P-value = 332.2 Since the P-value is greater than the level of significance, alpha, reject the null hypothesis. Conclude that at least one beta value is non-zero. Therefore, the model is statistically significant. Null Hypothesis % B =p2=0 Alternative Hypothesis #:° Atlesstone p; # 0 fori=1,2 P-value = 3.80e-13 Since the P-value is less than the level of significance, alpha, do not reject the null hypothesis. Conclude that all beta values are zero. Therefore, the model is not statistically significant. Null Hypothesis o By =B2=0 Alternative Hypothesis #i Atleastone p, # Ofori=1,2 P-value = 332.2 Since the P-value is greater than the level of significance, alpha, do not reject the null hypothesis. Conclude that all beta values are zero. Therefore, the model is not statistically significant. Null Hypothesis #o° B1=B2=0 Alternative Hypothesis #:° Atleastone , # O fori=1,2 P-value = 3.80e-13 Since the P-value is less than the level of significance, alpha, reject the null hypothesis. Conclude that at least one beta value is non-zero. Therefore, the model is statistically significant.