Exhibit 15-2.A sports analyst wants to exam the factors that may influence a tennis player's chances of winning.Over four tournaments,he collects data on 30 tennis players and estimates the following model: , where Win is the proportion of winning,Double Faults is the percentage of double faults made,and Aces is the number of Aces.A portion of the regression results are shown in the accompanying table. Refer to Exhibit 15-2.When testing whether the explanatory variables are jointly significant at the 5% level,he A)Rejects H₀,and concludes that the explanatory variables are jointly significant. B)Does not reject H₀,and concludes that the explanatory variables are jointly significant. C)Rejects H₀,and concludes that the explanatory variables are not jointly significant. D)Does not reject H₀,and concludes that the explanatory variables are not jointly significant.

Question

Quizplus · Accepted Answer

The null hypothesis (H₀) is that all of the explanatory variables have coefficients of zero, or in other words, they do not have a significant effect on the proportion of winning. The F-statistic in the table is 8.91 and has a p-value of 0.0003, which is less than 0.05. Therefore, we can reject the null hypothesis and conclude that the explanatory variables are jointly significant. Choice A is the best answer.