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Bring out the inconsistency in the following: bYX + bXY = 1.30 and r = 0.75 - Mathematics and Statistics

Sum

Bring out the inconsistency in the following:

bYX + bXY = 1.30 and r = 0.75 

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Solution

Given, bYX + bXY = 1.30, r = 0.75

Consider, `("b"_"YX" + "b"_"XY")/2 = 1.30/2 = 0.65`

∴ `("b"_"YX" + "b"_"XY")/2 < "r"`

But, for consistent data `|("b"_"YX" + "b"_"XY")/2|` >|r|

∴ Given data is inconsistent.

Concept: Properties of Regression Coefficients
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