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Question the-st

3.4 Two-Variable Data & Models - Using models for prediction
0:00

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 = 32 , which of the following is closest to the y-value predicted by the line of best fit?

A.

0.4

B.

1.5

C.

2.4

D.

3.3

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. At x=32, the line of best fit has a y-value between 2 and 3 . The only choice with a value between 2 and 3 is choice C.

Choice A is incorrect. This is the difference between the y-value predicted by the line of best fit and the actual y-value at x=32 rather than the y-value predicted by the line of best fit at x=32.

Choice B is incorrect. This is the y-value predicted by the line of best fit at x=31 rather than at x=32.

Choice D is incorrect. This is the y-value predicted by the line of best fit at x=33 rather than at x=32.

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