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Bring Out the Inconsistency, If Any in the Following : - Mathematics and Statistics

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Question

Bring out the inconsistency, if any in the following : 

bYX + bXY = 1.30 and r = 0.75

Sum

Solution

Given : byx + bxy = 1.30 

r = 0.75

We have for regression coefficient 

`|("b"_"yx" + "b"_"xy")/2| >= "r"`

`therefore |1.30/2| = 0.65`

and r = 0.75

`therefore |("b"_"yx" + "b"_"xy")/2| <  "r"`

∴ data is inconsistent. 

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Regression Coefficient of X on Y and Y on X
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2015-2016 (July)

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