Maharashtra State BoardHSC Commerce 12th Board Exam
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For bivariate data. x¯=53,y¯=28,bYX=-1.2,bXY=-0.3 Find Correlation coefficient between X and Y. - Mathematics and Statistics

Sum

For bivariate data. `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3` Find Correlation coefficient between X and Y.

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Solution

Here, `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3`

r = `+-sqrt("b"_"XY" * "b"_"YX")`

`= +- sqrt((- 0.3)(- 1.2))`

`= +- sqrt0.36 = +-  0.6`

Since bYX and bXY both are – negative,

r is also negative.

∴ r = - 0.6

Concept: Properties of Regression Coefficients
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