Answer :
Answer:
it is not affected by a change of units
Step-by-step explanation:
Since the correlation coefficient has no dimensions, it is not affected by a change of units. Then it will remain the same after the conversion
In fact, the linear correlation coefficient ρ ,where
ρ = Cov (X,Y) / (σx*σy)
then the units [ ] of ρ are
[ρ] = [ Cov (X,Y) ] / [σx]*[σy] = σ²/σ² = 1 → dimensionless
is more useful than using covariance [ Cov (X,Y) ] , since dividing by the standard deviations eliminates the units and standardise the variable