46
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 46 • Probability and Statistics with Applications Honors Sem-1-FL-1210300 (2024-2025)

A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation ŷ = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 17,000?

Answer
A
83.3 wins
B
98.5 wins
C
258.4 wins
D
263.3 wins

Explanation

Attendance is measured in thousands, so 17,000 people corresponds to x = 17. Substitute into the regression equation: ŷ = 4.9(17) + 15.2 = 83.3 + 15.2 = 98.5. The predicted number of wins is 98.5 wins, choice B.

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