Properties of Correlation Coefficient PART 2 | Correlation analysis

Properties of Correlation coefficient
(a) The correlation coefficient always lies between -1 and +1.
(b) r is independent of change of origin and scale.
(c) It is a pure number, independent of units of measurement.
(d) If r=0, regression lines are prpendicular to each other. If r=+/-1, regression lines are prpendicular to each other.
(e) The correlation coefficient is the geometric mean of two regression coefficients.
(f) The correlation coefficient of two variables x and y is symmetric; rxy = ryx. (g) The square of r gives the coefficient of determination.
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