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. 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

Question

Quizplus · Accepted Answer

The analyst rejects H₀: β₁ = 0 because the interval does not include zero. This means that Double Faults is significant at the 5% significance level.

A Sports Analyst Wants to Exam the Factors That May