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Two-variable data: models and scatterplots — SAT practice questions

On the SAT, Two-variable data: models and scatterplots asks students to relate paired values on a scatterplot to a line of best fit or similar model. A student must interpret slope and intercept, estimate from a given equation, and decide how a model changes when the data are shifted. Questions often give a linear equation and ask which new equation could still fit after every x-value is increased while y is left unchanged, with nearby linear equations as choices. Traps include swapping x and y, treating a horizontal shift as a change in slope rather than intercept, and reading association as causation.

  • Section: Math 44 questions on the paper
  • 64 practice questions in the app

Sample questions

Question 1

A line of best fit for a data set is given by y=4x+6y=4x+6. Each xx-value is increased by 2, and each yy-value is unchanged. Which of the following equations could represent a line of best fit for the new data set?

  1. Ay=4x−2y=4x-2
  2. By=4x+14y=4x+14
  3. Cy=6x+6y=6x+6
  4. Dy=4x+8y=4x+8
Show answer

Answer: A — y=4x−2y=4x-2

Increasing each xx-value by 2 replaces xx with x−2x-2 in the original equation, giving y=4(x−2)+6=4x−2y=4(x-2)+6=4x-2.

Practice 64 Two-variable data: models and scatterplots questions in the app

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