12
QuizMultiple Choice

Simple Linear Regression — Test

Question 12 • Statistics and Probability

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=4.9⁢x+15.2 , where x represents the attendance (in thousands) and widehat y is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 2 comma 100 ?

Answer
A
10 comma 305 point 2 wins
B
36 point 8 2 wins
C
25 point 4 9 wins
D
31 point 9 2 wins

Explanation

Because attendance is measured in thousands, 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, choice C.

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