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SAT Prep / Problem-Solving & Data Analysis / Scatterplots & Two-Variable Data
SAT Math · Problem-Solving & Data Analysis

Scatterplots & Two-Variable DataHow the SAT tests it — and how to beat it

Reading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.

Practice Scatterplots & Two-Variable Data FreeAll of Problem-Solving & Data Analysis

Scatterplots & Two-Variable Data in Our Question Bank

35

Total questions

13

Easy

15

Medium

7

Hard

What the SAT Actually Tests

Scatterplot questions give you plotted data with (usually) a line of best fit and ask you to interpret its slope or intercept in context, predict a value, compute the difference between an actual data point and the line's prediction, or judge whether a linear or exponential model fits the association.

The line of best fit is a prediction machine: for a given x, the line's height is the predicted y, and (actual − predicted) is the residual questions love to ask about. Slope-in-context follows the standard recipe — predicted change in y per one unit of x. Count carefully on the axes; most errors here are reading errors, not concept errors.

Real Scatterplots & Two-Variable Data Practice Questions

Straight from the Grind1600 question bank — try each one before revealing the answer.

Question 1easy
A researcher collected data on the number of hours of sunlight and the height of plants. Which type of graph would be most appropriate to display the relationship between these two variables?
  • A)Bar graph
  • B)Circle graph
  • C)Histogram
  • D)Scatterplot
Show answer & explanation

Correct answer: D

Choice D is correct. A scatterplot is used to display the relationship between two quantitative variables. Since both hours of sunlight and plant height are quantitative, a scatterplot is the most appropriate.

Question 2medium
For x > 0, the function h is defined as follows: h(x) equals 80% of h(x − 1) Which of the following could describe this function?
  • A)Decreasing exponential
  • B)Decreasing linear
  • C)Increasing exponential
  • D)Increasing linear
Show answer & explanation

Correct answer: A

Choice A is correct. Since h(x) = 0.80 × h(x − 1), each output is 0.80 times the previous output. This represents a constant multiplicative factor less than 1, so the function decreases exponentially. Choice B is incorrect because a linear function would decrease by a constant amount, not a constant factor. Choices C and D describe increasing functions, which contradicts the 0.80 multiplier.

Traps to Avoid

  • Answering with the actual data point's value when the question asks what the line of best fit predicts (or vice versa).
  • Misreading axis scales that count by 5s, 20s, or 0.5s rather than 1s.
  • Calling an association exponential just because it rises quickly — a straight-line pattern is linear regardless of steepness.

More Problem-Solving & Data Analysis Skills

Ratios, Rates & Units

Setting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.

Percentages

Percent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.

Data Distributions & Measures of Center

Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.

Probability

One-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.

Inference & Margin of Error

What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.

Evaluating Statistical Claims

Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.

Master Scatterplots & Two-Variable Data With Adaptive Practice

35 Scatterplots & Two-Variable Data questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.

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