3
QuizMultiple Choice

Making Predictions from a Least-Squares Regression Line

Question 3 • DRHS GA-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 ŷ = 27.273x + 18.182 where x represents the 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 1 hour to play?

Answer
A
–0.63 points
B
9.091 points
C
45.455 points
D
1,654.562 points
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A popular board game manufacturer was interested…