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Question the-st

3.4 Two-Variable Data & Models - Using models for prediction
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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 11 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 6 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit goes through the following approximate coordinates:
      • (28 comma 6)
      • (33 comma 1.5)

At x = 25.5 , which of the following is closest to the y-value predicted by the line of best fit?

A.

6.2

B.

7.3

C.

8.2

D.

9.1

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

Medium-difficulty · SAT Math · Two-Variable Data & Models — Using models for prediction. 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. On the line of best fit, an x-value of 25.5 corresponds to a y-value between 8 and 8.5 . Therefore, at x = 25.5 , 8.2 is closest to the y-value predicted by the line of best fit.

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

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