16Hit1600
Problem-Solving and Data AnalysisVery hardPoint with a positive residual

Problem-Solving and Data Analysis practice question

A line of best fit has slope 0.9 and passes through the point (10, 15). Which of the following data points has a positive residual with respect to this line?

  1. A. (20, 26)Correct
  2. B. (20, 22)
  3. C. (0, 6)
  4. D. (10, 15)

Answer: A. (20, 26)

The line predicts 24 at x = 20; the point (20, 26) lies 2 above it.

Why the other answers are wrong

B. (20, 22)
(20, 22) lies 2 below the line.
C. (0, 6)
(0, 6) lies exactly on the line.
D. (10, 15)
(10, 15) lies exactly on the line.

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