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.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Mid
A line of best fit for a data set is given by y=4x+6. Each x-value is increased by 2, and each y-value is unchanged. Which of the following equations could represent a line of best fit for the new data set?
Show answer
Answer: A — y=4x−2
Increasing each x-value by 2 replaces x with x−2 in the original equation, giving y=4(x−2)+6=4x−2.
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