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

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Question

Bring out the inconsistency in the following:

bYX + bXY = 1.30 and r = 0.75 

Sum
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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.

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Properties of Regression Coefficients
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Chapter 3: Linear Regression - Exercise 3.2 [Page 47]

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