Question the-st

3.4 Two-Variable Data & Models - Using models for prediction
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The sterplot shows the temperature, in degrees Fahrenheit °F, and the distance above sea level, in feet, measured at 6 loions on Mount Jefferson. A line of best fit is also shown.

2,0004,0006,0008,000x1020304050607080yODistance above sea level (feet)Temperature (
  • The sterplot has 6 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.
    • The line of best fit passes through the following coordinates:
      • (0 comma 47)
      • (4,000 comma 35)
      • (7,000 comma 26)

At a distance of 4,000 feet above sea level, what is the temperature, in °F, predicted by the line of best fit?

A.

47

B.

35

C.

25

D.

0

The sterplot shows the temperature, in   degrees   Fahrenheit   ° F , and the

Easy-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 B is correct. In the given sterplot, the x-values represent the distance above sea level, in feet, and the y-values represent the temperature, in °F. The point on the line of best fit with an x-value of 4,000 has a corresponding y-value of 35 . Therefore, at a distance of 4,000 feet above sea level, the temperature predicted by the line of best fit is 35°F.

Choice A is incorrect. This is the temperature, in °F, predicted by the line of best fit at a distance of 0 feet above sea level.

Choice C is incorrect. This is the measured temperature, in °F, at a distance of 6,000 feet above sea level.

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