The SD of y is equal to the r.m.s. error of a horizontal line through the av-

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erage of y. The r.m.s. error of the regression line is smaller, by the factor $$√1-r^2$$.

Therefore, the r.m.s. error for the regression line of y on x can be figured as

$$√1-r^2$$ x the SD of y. pl875

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Statistics

ISBN: 9780393522105

4th Edition

Authors: David Freedman, Robert Pisani, Roger Purves

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Question Posted: Sep 19, 2024 02:22 PM

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The SD of y is equal to the r.m.s. error of a horizontal line through the av-

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