e following items 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 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) Provide your conclusion and interpretation of the test Should the null hypothesis be rejected Why or why not What is the slope coefficient for the weight variable Is this coefficient significant at 5 level of significance (alpha 0 05) (Hint Check the P value,, for weight in Python output Recall that this is the individual t test for the beta parameter ) What is the slope coefficient for the horsepower variable Is this coefficient significant at 5 level of significance (alpha 0 05) (Hint Check the P value,, for horsepower in Python output Recall that this is the individual t test for the beta parameter ) What is the purpose of performing individual t tests after carrying out the overall F test What are the differences in the interpretation of the two tests What is the coefficient of determination of your multiple regression model from Module Six Provide appropriate interpretation of this statistic Dep Variable mpg R squared 0 832 Model OLS Adj R squared 0 820 Method Least Squares F statistic 66 90 Date Wed, 06 Apr 2022 Prob (F statistic) 3 45e 11 Time 23 34 19 Log Likelihood 67 299 No Observations 30 AIC 140 6 Of Residuals 27 BIC 144 8 Of Model 2 Covariance Type nonrobust coef std err P t 0 025 0 975 Intercept 36 1442 1 567 23 069 0 000 32 929 39 359 wt 3 6855 0 604 6 103 0 060 4 924 2 446 hp 0 0298 0 009 3 497 0 002 0 047 0 012 Omnibus 5 504 Durbin Watson 1 679 Prob (Omnibus ) 0 064 Jarque Bera (JB) 3 899 Skew 0 829 Prob (JB) 0 142 Kurtosis 3 609 Cond No 608

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e following items: Is at least one of the two variables (weight and horsepower) significant in the model? Run the overall F-test and provide your

e following items:

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. Include the following in your analysis:
1. Define the null and alternative hypothesis in mathematical terms and in words.
2. Report the level of significance.
3. Include the test statistic and the P-value. (Hint: F-Statistic and Prob (F-Statistic) in the output).
4. Provide your conclusion and interpretation of the test. Should the null hypothesis be rejected? Why or why not?
What is the slope coefficient for the weight variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value,, for weight in Python output. Recall that this is the individual t-test for the beta parameter.)
What is the slope coefficient for the horsepower variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value,, for horsepower in Python output. Recall that this is the individual t-test for the beta parameter.)
What is the purpose of performing individual t-tests after carrying out the overall F-test? What are the differences in the interpretation of the two tests?
What is the coefficient of determination of your multiple regression model from Module Six? Provide appropriate interpretation of this statistic.

Dep. Variable: mpg R - squared: 0.832 Model : OLS Adj. R-squared : 0. 820 Method : Least Squares F-statistic: 66.90 Date : Wed, 06 Apr 2022 Prob (F-statistic) : 3. 45e-11 Time : 23:34:19 Log-Likelihood : -67 .299 No. Observations: 30 AIC : 140.6 Of Residuals: 27 BIC: 144.8 Of Model: 2 Covariance Type: nonrobust coef std err P> | t] [0. 025 0.975] Intercept 36. 1442 1. 567 23.069 0.000 32.929 39.359 wt -3.6855 0. 604 -6.103 0.060 -4.924 -2. 446 hp -0. 0298 0. 009 -3.497 0. 002 -0. 047 -0. 012 ==== Omnibus : 5.504 Durbin-Watson: 1.679 Prob (Omnibus ) : 0. 064 Jarque-Bera (JB) : 3.899 Skew: 0. 829 Prob (JB) : 0. 142 Kurtosis : 3.609 Cond. No. 608