Answer 1

Correlation coefficient remains unaffected by the change of origin and scale.

i.e., if `"u"_"i" = ("x"_"i" - "a")/"h"` and `"v"_"i" = ("y"_"i" - "b")/"k"`, then Corr (u, v) = ± Corr (x, y), according to the same or opposite signs of h and k.

Corr (x, 3y) = Corr (x, y) = 0.8