Isn't it the sun's energy that ultimately creates the wind - through differential heating?

So whether it's anti-correlated might a local feature depending on the local factors driving the weather?

Perhaps stronger correlation would be that air movement ( wind ) is the thing that drives the weather changing. ie no wind, means slow change ( though the opposite isn't necessarily true - if you are in the centre of a cyclic weather system which isn't moving you could have wind and not much change ).