24
QuizMultiple Choice

R-squared and s — Unit test

Question 24 • DRHS GA-Statistical Reasoning

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 2,100?

Answer
A
25.49 wins
B
31.92 wins
C
36.82 wins
D
10,305.2 wins

Explanation

Attendance is measured in thousands, so an attendance of 2,100 corresponds to x = 2.1. Substitute into the regression equation: ŷ = 4.9(2.1) + 15.2 = 10.29 + 15.2 = 25.49. The predicted number of wins is 25.49 wins, choice A.

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