Question

Question 4 (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: Y = Bo + B. Speed+B Angle 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. OLS Regression Results ==================================== ========== 0.978 0.975 332.2 3.80e-13 -21.142 48.28 50.95 = = ========= Dep. Variable: Quality R-squared: Model: OLS Adj. R-squared: Method: Least Squares F-statistic: Date: Sun. 18 Aug 2019 Prob (F-statistic: Time: 11:39:31 Log-Likelihood: No. Observations: 18 AIC: Df Residuals: 15 BIC: Df Model: Covariance Type: nonrobust --- ===== ==== -------- == == ======== = ======== coef std err t P>[t] -------- Intercept 0.5382 0.473 1.137 0.273 Speed -1.9046 0.176 -10.834 0.000 Angle 4.0280 0.178 22.574 0.000 = ================== ========= === Omnibus: 4.358 Durbin-Watson: Prob (Omnibus): 0.113 Jarque-Bera (JB): Skew: 0.082 Prob(JB): Kurtosis: 1.637 Cond. No. ----- ---- -- (0.025 -0.471 -2.279 3.648 0.975] 1.547 -1.530 4.408 ====== 2.121 1.414 0.493 14.4 Null Hypothesis H, B= 0 Alternative Hypothesis H: B2 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 H, B, = 0 Alternative Hypothesis H: B2 = 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. Null Hypothesis Ho: B2 = 0 Alternative Hypothesis H: B2 70 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. Null Hypothesis Ho: B2 = 0 Alternative Hypothesis H.: B2 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.

Answer 1

The null and alternative hypothesis is

​​​​​​

Ho: B2 = 0

Ha: B2 +0

From the output p value is 0.000 for $\beta_2$ is 0.000 which is less than 0.05 so we reject the null hypothesis and conclude that estimate of angle Parameter is non zero

So option c is the right choice