# 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.

#### 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
Is there an error in this question or solution?