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.

For pacing and strategy across the whole section, read our guide to Desmos on the SAT. To fit this skill into a schedule, see the SAT study plan guide.

Primary sources

Keep going

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Probability and Conditional Probability

Probability is favorable outcomes over possible outcomes. For conditional probability, the group in the condition becomes the denominator.

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Practice two-variable data in 15 minutes a day.

Short SAT sets on the test-day screen, with an explanation for every question.

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