7
QuizMultiple Choice

Scatterplots — Quiz

Question 7 • Algebra II

For which data set is a linear regression most reasonable?

Answer
A
a set of four data pairs with a correlation coefficient r is equal to negative 0 point 8
B
a set of five data pairs with a correlation coefficient r is equal to 0 point 3
C
a set of nine data pairs with a correlation coefficient r is equal to negative 0 point 4
D
a set of six data pairs with a correlation coefficient r is equal to 0 point 6

Explanation

A linear regression is most reasonable when the data have a strong linear relationship, indicated by a correlation coefficient whose absolute value is closest to 1. Choice B has r = −0.8, with absolute value 0.8; the negative sign means the relationship slopes downward. This is stronger than the correlations in the other choices, so the set of four data pairs in B is the best choice.

AI-written and checked against the verified answer.

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