Is at least one of the two variables (weight and horsepower) significant in the model? Run the overall F-test and provide your interpretation at 5%
Is at least one of the two variables (weight and horsepower) significant in the model? Run the overall F-test and provide your interpretation at 5% level of significance. See Step 5 in the Python script. Include the following in your analysis:
Define the null and alternative hypothesis in mathematical terms and in words.
Report the level of significance.
Include the test statistic and the P-value. (Hint: F-Statistic and Prob (F-Statistic) in the output).
OLS Regression Results Dep. Variable: mpg R-squared: 9. 852 Model : OLS Adj. R-squared: 0 .841 Method: Least Squares F-statistic: 77.46 Date: Thu, 01 Dec 2022 Prob (F-statistic) : 6.54e-12 Time : 03 : 28:22 Log-Likelihood: -67.455 No. Observations: 30 AIC ; 140.9 Of Residuals: 27 BIC : 145. 1 Of Model: 2 Covariance Type: nonrobust coef sto err t P> t [0. 025 0.975] Intercept 38.6380 1. 632 23.671 0.000 35.289 41.987 wt -4.4334 0.634 -6.990 0.000 -5.735 -3.132 hp -0.0306 0. 008 -3.627 0. 001 -0.048 -0. 013 Omnibus : 2.645 Durbin-Watson: 1.756 Prob (Omnibus ) : 0 . 266 Jarque -Bera (JB) : 1.938 Skew: 0. 622 Prob(JB) : 0.380 Kurtosis: 2.972 Cond. No. 621. Warnings : [1] Standard Errors assume that the covariance matrix of the errors is correctly specified
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