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