A sports analyst determines that the number of points scored in a basketball game is related to the number of shots taken during the game. The least-squares regression line is hat y is equal to 5 point 0 plus 1 point 2 x , where start set hat y end set is the predicted number of points scored and x is the number of shots taken. In one game, a team takes 50 shots and the residual is negative 10 How many points were scored by this team in this game?
For 50 shots, the predicted score is 5.0 + 1.2(50) = 65 points. A residual is the actual score minus the predicted score, so an actual score 10 points below 65 is 55. The team scored 55 points, choice D.
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