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A Sports Analyst Wants to Exam the Factors That May

question 35

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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 + 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 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 ________.


Definitions:

Higher Authority

An entity or individual possessing greater power, control, or influence over others, often used in the context of organizational decision-making or religious belief.

Uncommon People

Individuals who are rare or exceptional in their characteristics, behaviors, or achievements, standing out from the general population.

Political Organization

Structures and systems that govern the conduct and policies of a society, including government institutions, political parties, and advocacy groups.

Regular Elections

The scheduled, periodic process by which citizens vote to choose their representatives, ensuring the continuity and legitimacy of democratic governance.

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