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 Double Faults is significant B) does not reject H₀: β₁ = 0,and concludes that Double Faults is significant C) rejects H₀: β₁ = 0,and concludes that Double Faults is not significant D) does not reject H₀:β₁ = 0,and concludes that Double Faults is not significant

Question

Quizplus · Accepted Answer

Since the 95% confidence interval for β₁ does not include 0 (it does not include the value of 0 because both values are negative), we can conclude that the coefficient for Double Faults is statistically significant at the 5% significance level. Therefore, we reject the null hypothesis H₀: β₁ = 0 and conclude that Double Faults is significant.

A Sports Analyst Wants to Exam the Factors That May