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Bring out the inconsistency in the following: bYX = bXY = 1.50 and r = - 0.9

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Question

Bring out the inconsistency in the following:

bYX = bXY = 1.50 and r = - 0.9 

Sum
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Solution

Given, bYX = bXY = 1.50 and r = - 0.9 

Here, the coefficient of regressions is positive and the coefficient of correlation is negative.

But, for consistent data they must have the same signs.

∴ The 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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`y - square = square (50 - square)`

∴ y = `square`

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`x - square = square (25 - square)`

∴ x = `square`


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∴ byx = `square/square`

∴ r = `square`


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