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 scores 75 points. What is the residual for this team during this game?
First calculate the predicted points: 5.0 + 1.2(50) = 65. A residual is the observed value minus the predicted value, so 75 − 65 = 10 points. The correct choice is 10.
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