6
QuizMultiple Choice

Making Predictions from a Least-Squares Regression Line — Quiz

Question 6 • Statistical Reasoning

A popular board game manufacturer was interested in the relationship between the amount of time it takes to play a game and how well that game is rated among board game players. Information was collected on several board games and was used to obtain the regression equation widehat y is equal to 27 point 2 7 3 x plus 18 point 1 8 2 where x represents the time it takes to play (in hours) and widehat y is the predicted rating of that game (in points). What is the predicted rating of a game that takes 1 hour to play?

Answer
A
45 point 4 5 5 points
B
9 point 0 9 1 points
C
negative 0 point 6 3 points
D
1 comma 654 point 5 6 2 points

Explanation

Substitute x = 1 hour into the regression equation: ŷ = 27.273(1) + 18.182 = 45.455. Therefore, the predicted rating is 45.455 points, which is choice D.

AI-written and checked against the verified answer.

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