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Question the-st

3.4 Two-Variable Data & Models - Residuals
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The sterplot shows the relationship between two variables, x and y . A line of best fit for the data is also shown.

  • The sterplot has 10 data points.
  • The data points are in a linear pattern trending up from left to right.
  • A line of best fit is shown:
    • The line of best fit slants up from left to right.
    • 6 points are above the line of best fit.
    • 4 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 0.1)
      • (5 comma 5.1)

For how many of the 10 data points is the actual y-value greater than the y-value predicted by the line of best fit?

A.

3

B.

4

C.

6

D.

7

The sterplot shows the relationship between two variables, x and y . A line of best

Hard-difficulty · SAT Math · Two-Variable Data & Models — Residuals. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. Any data point that's loed above the line of best fit has a y-value that's greater than the y-value predicted by the line of best fit. For the sterplot shown, 6 of the data points are above the line of best fit. Therefore, 6 of the data points have an actual y-value that's greater than the y-value predicted by the line of best fit.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the number of data points that have an actual y-value that's less than the y-value predicted by the line of best fit.

Choice D is incorrect and may result from conceptual or calculation errors.

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