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Wednesday, November 7. Regression. z y = z x When X and Y are perfectly correlated. We can say that z x perfectly predicts z y. z y ’ = z x Or z y = z x. ^. When they are imperfectly correlated, i.e., r xy ≠ 1 or -1. z y ’ = r xy z x.
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Wednesday, November 7 Regression
zy = zx When X and Y are perfectly correlated
We can say that zx perfectly predicts zy zy’ = zx Or zy = zx ^
When they are imperfectly correlated, i.e., rxy ≠ 1 or -1 zy’ = rxyzx
When they are imperfectly correlated, i.e., rxy ≠ 1 or -1 zy’ = rxyzx Y’ = bYXX + aYX bYX = rYX (sy / sx) aYX = Y - bYXX _ _
When they are imperfectly correlated, i.e., rxy ≠ 1 or -1 zy’ = rxyzx Y’ = bYXX + aYX bYX = rYX (sy / sx) aYX = Y - bYXX zy’=.802*zx Y’=.808X + 13.87 _ _
Mean Y = 68.729 Mean X = 67.896 Mean Y, Mean X = 0