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If bYX = − 0.6 and bXY = − 0.216, then find correlation coefficient between X and Y. Comment on it.

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Question

If bYX = − 0.6 and bXY = − 0.216, then find correlation coefficient between X and Y. Comment on it.

Sum
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Solution

Given, bYX = − 0.6, bXY = − 0.216

∴ r = `+-sqrt("b"_"XY" * "b"_"YX")`

`= +- sqrt(- 0.216 * (- 0.6)) = +- sqrt(0.1296)`

∴ r = ± 0.36

Since bXY and bYX are negative,

r is also negative.

∴ r = - 0.36

∴ X and Y negatively correlated.

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Properties of Regression Coefficients
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Chapter 3: Linear Regression - Miscellaneous Exercise 3 [Page 54]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 3 Linear Regression
Miscellaneous Exercise 3 | Q 4.12 | Page 54

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