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 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 90 minutes to play?
A
2 comma 472 point 7 5 2 pointsConvert 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. The predicted rating is 59.0915 points, choice B.
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