Suppose we calculate the least-squares regression lines for two sets of paired data. The first set has a regression line with slope m1 and correlation coefficient r1, while the second set has a regression line with slope m2 and correlation coefficient r2. If r1 < 0 < r2, we can correctly conclude that

A) m1 < 0 < m2

B) r1^2 < 0 < r2^2

C) the first set displays stronger correlation than the second.

D) the second set displays stronger correlation than the first.

Question

Mathematics

Bryson

Yesterday, 14:05

Suppose we calculate the least-squares regression lines for two sets of paired data. The first set has a regression line with slope m1 and correlation coefficient r1, while the second set has a regression line with slope m2 and correlation coefficient r2. If r1 < 0 < r2, we can correctly conclude that

A) m1 < 0 < m2

B) r1^2 < 0 < r2^2

C) the first set displays stronger correlation than the second.

D) the second set displays stronger correlation than the first.

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Answers (1)

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Karlee Pugh · Answer 1

Joey has made the scatterplot shown here, and has graphed the least-squares regression line on it. Which conclusion is justified? A) There is a positive correlation between height and distance. B) There is a negative correlation between height and distance. C) There is a binomial correlation between height and distance. D) There is a non-linear correlation between height and distance.

Correct answer is A