SAT Math · Two-variable data: models and scatterplots · easy

A scatterplot shows that as the number of hours studied increases, exam scores tend to increase as well, with the points clustered fairly…

Hours studied Exam score
A scatterplot shows that as the number of hours studied increases, exam scores tend to increase as well, with the points clustered fairly closely around an upward-sloping trend line. Which best describes this association?

Answer and explanation

Answer: B: Strong positive association

Describe an association by its direction and its strength. As hours studied increase, scores increase, so the direction is positive. The points sit fairly close to the upward trend line, so the relationship is strong. Together, that is a strong positive association, choice B. Choice A has the wrong direction. Choice C has the correct direction but understates the strength, which would be appropriate if the points were widely scattered around the line. Choice D is wrong because there is a clear trend. Tight clustering means strong, and the slope's sign gives the direction.

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