AnswersDRHS GA-Statistical ReasoningR-squared and s — Unit testQuestion 23
23
QuizMultiple Choice

R-squared and s — Unit test

Question 23 • 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 attendance (in thousands) and ŷ 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 attendance by 1,000, the predicted number of wins increases by 4.9.
B
For each increase in attendance by 1,000, the predicted number of wins increases by 15.2.
C
For each increase in the number of wins by 1, the predicted attendance increases by 4,900.
D
For each increase in the number of wins by 1, the predicted attendance increases by 15,200.

Explanation

The slope is 4.9, which tells us that the predicted number of wins increases by 4.9 for each 1-unit increase in x. Since x measures attendance in thousands, a 1-unit increase represents 1,000 more attendees. Therefore, the correct statement is that for each increase in attendance by 1,000, predicted wins increase by 4.9.

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