AnswersStatisticsSimple Linear Regression — TestQuestion 16
16
QuizMultiple Choice

Simple Linear Regression — Test

Question 16 • Statistics

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 widehat y is equal to 4 point 9 x plus 15 point 2 , where x represents attendance (in thousands) and widehat y is the predicted number of wins. Which statement best describes the meaning of the slope of the regression line?

Answer
A
For each increase in the number of wins by 1 , the predicted attendance increases by 15 comma 200 .
B
For each increase in attendance by 1 comma 000 , the predicted number of wins increases by 15 point 2 .
C
For each increase in attendance by 1 comma 000 , the predicted number of wins increases by 4 point 9 .
D
For each increase in the number of wins by 1 , the predicted attendance increases by 4 comma 900 .

Explanation

In the regression equation ŷ = 4.9x + 15.2, the slope is 4.9. Since x measures attendance in thousands, an increase of 1 in x means 1,000 more attendees. Thus, for each increase in attendance by 1,000, the predicted number of wins increases by 4.9, matching choice A.

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