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 ŷ = 27.273x + 18.182, where x represents time it takes to play (in hours) and ŷ is the predicted rating of that game (in points). What is the predicted rating of a game that takes 90 minutes to play?
Convert 90 minutes to hours: 90 ÷ 60 = 1.5 hours. Substitute x = 1.5 into the regression equation: ŷ = 27.273(1.5) + 18.182 = 59.0915 points. The predicted rating is 59.0915 points, choice B.
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