A sports analyst wants to examine the factors that may influence a tennis player

Question

A sports analyst wants to examine 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 = 0 + 1Double Faults + 2Aces + , 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.

Is the relationship between Win and Aces significant at the 5% significance level?

df SS MS F Significance F Regression 2 1.24 0.620 41.85 5.34E-09 Residual 27 0.40 0.015 Total 29 1.64 Coefficients Standard Error t-stat p-value Lower 95% Upper 95% Intercept 0.451 0.080 5.646 5.4E-06 0.287 0.614 Double Faults 0.007 0.0024 2.875 0.0078 0.012 0.002 Aces 0.015 0.003 4.65 7.8E-05 0.008 0.023

Explanation / Answer

Correct Answer: Option (D)   Yes, because the relevant p-value is less than 0.05.

Since

The p-value of Aces is 7.8E-05 < alpha 0.05, so we reject H0

Thus we conclude that there is significant between Wins and aces at 5% level

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