SAT · Math · Problem-Solving and Data Analysis

Two-Variable Data on the Digital SAT: How to Answer These Questions

Whether you can interpret scatterplots, lines of best fit and the relationships they show.

How to answer it

  1. Name what x and y measure, with units.
  2. Read the slope as “y changes by this much per one x.”
  3. Read the intercept as the predicted y when x is 0, if that makes sense.

Worked example

An original question in the SAT format, already answered.

SAT MathWorked example

A scatterplot of hours studied (x) and quiz score (y) has the line of best fit y = 5x + 58.

Which choice best interprets the number 5 in this context?

  1. AEach additional hour of study is associated with about 5 more points.
  2. BA student who studies 0 hours scores about 5 points.
  3. CQuiz scores range from 5 to 58.
  4. DStudents study about 5 hours on average.

Answer: A. 5 is the slope: about 5 more points per extra hour. B describes the intercept, which here is 58.

The most common trap

Mixing up slope and intercept. The number multiplied by x is the rate.

Practice it

Hourly Prep’s daily sets mix two-variable data with the rest of SAT Math, and send more of it your way when it’s a weak spot. See how the SAT prep plan works, or browse the other SAT skill guides.

Primary sources

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