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Two-variable data: Models and scatterplots SAT question

Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.

The scatterplot shows the relationship between two variables, and . A line of best fit for the data is also shown.

  • The scatterplot 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 , which of the following is closest to the y-value predicted by the line of best fit?

ExplanationShow

Choice C is correct. At , the line of best fit has a y-value between and . The only choice with a value between and 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  rather than the y-value predicted by the line of best fit at .

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

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

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