Making Predictions from a Least-Squares Regression Line
Question 2 • SC-Statistical Modeling SDPC
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). Which statement best describes the meaning of the y-intercept of the regression line?
Answer
A
When the rating of a game is 0 points, the predicted time to play is 0 hours.
B
When the rating of a game is 0 points, the predicted time to play is 18.182 hours.
C
When the time to play is 0 hours, the predicted rating is 18.182. This interpretation is not meaningful since a game cannot have a playtime of 0 hours.
D
When the time to play is 0 hours, the predicted rating is 27.273. This interpretation is not meaningful since a game cannot have a playtime of 0 hours.