1. The value of r is independent of the units of measurement of the variable. Suppose the weight and the height for a group of members are measured in kg and cm respectively or pounds and inches respectively, in either case the value of coefficient correlation r does not change.
2. The value of r is independent of the change of origin (adding or substracting any non-zero constant number) or the change of scale (multiplying or dividing by the value of any non-zero constant number).
Hence, if r(x, y) = 0.8,
then r[(x – 2),
(y + 3)] = 0.8
and r(2x, y/2) = 0.8.
But, r(-x, -y) = 0.8,
r (-x, y) = -0.8
and r (x, -y) = -0.8.
