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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Two-variable data: Models and scatterplots
Difficulty
Easy
ID: d230e963
Modded SAT Question Bank by Abdullah Mallik

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

  • The scatterplot has 10 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.
    • 1 point is touching the line of best fit.
    • 5 points are above the line of best fit.
    • 4 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 3)
      • (3 comma 8)
      • (7 comma 15)

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

  1. y=2.8+1.7x

  2. y=2.8-1.7x

  3. y=-2.8+1.7x

  4. y=-2.8-1.7x

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Correct Answer: A
Rationale

Choice A is correct. The line of best fit shown intersects the y-axis at a positive y-value and has a positive slope. The graph of an equation of the form y=a+bx, where a and b are constants, intersects the y-axis at a y-value of a and has a slope of b. Of the given choices, only choice A represents a line that intersects the y-axis at a positive y-value, 2.8, and has a positive slope, 1.7.

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

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

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

Question Difficulty: Easy
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