Units Don't Lie

Two variables, height (in cm) and weight (in kg), have a covariance of 150. A colleague claims this means height and weight are strongly related. What is the main issue with interpreting covariance this way?

A

Covariance requires the variables to be independent to be meaningful

B

Covariance is scale-dependent, so its magnitude alone cannot indicate the strength of a relationship; correlation (which is normalized) is needed for that

C

Covariance can only be computed for variables measured in the same units

D

A positive covariance always means the variables are causally linked