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A Sports Analyst Wants to Exam the Factors That May

question 35

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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: Win = β0 + β1 Double Faults + β2Aces + ε, 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. 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: Win = β<sub>0</sub> + β<sub>1</sub> Double Faults + β<sub>2</sub>Aces + ε, 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.   Excel shows that the 95% confidence interval for β<sub>1</sub> is [−0.12, −0.002]. When determining whether or not Double Faults is significant at the 5% significance level, he ________. A)  rejects H<sub>0</sub>: β<sub>1</sub> = 0, and concludes that DoubleFaults is significant B)  does not reject H<sub>0</sub>: β<sub>1</sub> = 0, and concludes that DoubleFaults is significant C)  rejects H<sub>0</sub>: β<sub>1</sub> = 0, and cannot conclude that DoubleFaults is significant D)  does not reject H<sub>0</sub>: β<sub>1</sub> = 0, and cannot concludes DoubleFaults is significant Excel shows that the 95% confidence interval for β1 is [−0.12, −0.002]. When determining whether or not Double Faults is significant at the 5% significance level, he ________.


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