Multiple Choice
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](https://d2lvgg3v3hfg70.cloudfront.net/TB6618/11ea8309_a96a_1f4e_b223_e98725363ad6_TB6618_00.jpg)
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 ________.
A) rejects H0: β1 = 0, and concludes that DoubleFaults is significant
B) does not reject H0: β1 = 0, and concludes that DoubleFaults is significant
C) rejects H0: β1 = 0, and cannot conclude that DoubleFaults is significant
D) does not reject H0: β1 = 0, and cannot concludes DoubleFaults is significant
Correct Answer:
Verified
Correct Answer:
Verified
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