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The random variables have regression lines 3x + 2y − 26 = 0 and 6x + y − 31 = 0. Calculate co-efficient of correlations. - Mathematics

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प्रश्न

The random variables have regression lines 3x + 2y − 26 = 0 and 6x + y − 31 = 0. Calculate co-efficient of correlations.

बेरीज
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उत्तर

On finding we get,

byx = `-1/6`,

bxy = `-3/2`

∴ r2 = byx × bxy

= `-1/6 xx -3/2`

= `1/4`

∴ r = `-1/2`      ...[∵ byx, bxy and r must have same sign]

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Regression Coefficient of X on Y and Y on X
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