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A Sports Analyst Wants to Exam the Factors That May

Question 48

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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 + β1Double 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.   When testing whether the explanatory variables jointly influence the response variable, the null hypothesis is ________. A)  H<sub>0</sub>: β<sub>1</sub> = β<sub>2</sub> = 0 B)  H<sub>0</sub>: β<sub>1</sub> + β<sub>2</sub> = 0 C)  H<sub>0</sub>: β<sub>0</sub> = β<sub>1</sub> = β<sub>2</sub> = 0 D)  H<sub>0</sub>: β<sub>0</sub> + β<sub>1</sub> + β<sub>2</sub> + 0 When testing whether the explanatory variables jointly influence the response variable, the null hypothesis is ________.


A) H0: β1 = β2 = 0
B) H0: β1 + β2 = 0
C) H0: β0 = β1 = β2 = 0
D) H0: β0 + β1 + β2 + 0

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