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

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What this topic is

Two-variable data: models and scatterplots questions show paired data on a scatterplot, usually with a line or curve of best fit, and ask what the model predicts or what its parts mean.

The slope of a fitted line is the predicted change in y for each one-unit increase in x, and the y-intercept is the predicted value when x is zero, which may not make sense in context. Questions may ask for the gap between an actual data point and the predicted value,.

Changing every x-value by the same amount slides the line sideways, which alters its intercept but not its slope.

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 $y = 4 x + 6$ . 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?

y = 4 x - 2

✓ Correct

y = 4 x + 14

✗ Not this one

y = 6 x + 6

✗ Not this one

y = 4 x + 8

✗ Not this one

Show answer

Answer: A — $y = 4 x - 2$

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

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Practice 68 Two-variable data: models and scatterplots questions in the app

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

What this topic is

Sample questions

More SAT topics

Math