Explain why the sign of the slope of a regression line must be thesame as the sign of the correlation coeffi cient.

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02-09-2021
Chemistry

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Explain why the sign of the slope of a regression line must be thesame as the sign of the correlation coeffi cient.

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Robbysilverino1idn Robbysilverino1idn · Answer 1 · 2021-09-02T21:24:35-04:00

Robbysilverino1idn Robbysilverino1idn

02-09-2021

Answer:

The calculation of a standard deviation involves taking the positive square root of a nonnegative number. As a result, both standard deviations in the formula for the slope must be nonnegative. ... Therefore the sign of the correlation coefficient will be the same as the sign of the slope of the regression line.

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