Properties of Coefficient of Correlation

    • The correlation coefficient is symmetrical with respect to X and Y i.e. {r_{XY}}  = {r_{YX}}
    • The correlation coefficient is the geometric mean of the two regression coefficients. r =  \sqrt {{b_{YX}} \times {b_{XY}}}    or   r = \sqrt {b \times d} .
    • The correlation coefficient is independent of origin and unit of measurement i.e. {r_{XY}}  = {r_{UV}}.
    • The correlation coefficient lies between  - 1 and   + 1. i.e.  - 1 \leqslant r  \leqslant + 1.

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