Question the-st

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

  • The sterplot has 6 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.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 3.4)
      • (8 comma 11)
      • (12 comma 14.8)

Which of the following equations best represents the line of best fit shown?

A.

y=x+3.4

B.

y=x-3.4

C.

y=-x+3.4

D.

y=-x-3.4

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

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

Answer explanation

Choice A is correct. The line of best fit shown has a positive slope and intersects the y-axis at a positive y-value. The graph of an equation of the form y = m x + b , where m and b are constants, has a slope of m and intersects the y-axis at a y-value of b . Of the given choices, only y = x + 3.4 represents a line that has a positive slope, 1 , and intersects the y-axis at a positive y-value, 3.4 .

Choice B is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.

Choice C is incorrect. This equation represents a line that has a negative slope, not a positive slope.

Choice D is incorrect. This equation represents a line that has a negative slope, not a positive slope, and intersects the y-axis at a negative y-value, not a positive y-value.