Is Europe’s Monetary Policy Set by the Fed?

According to the data , NO:

'The widely held belief of a clear leadership of the Fed in setting monetary policy, with the ECB following after a lag, may be unwarranted. For most of the period under study, in fact, the evidence points to a symmetric relation between the Fed and the ECB, with a two-way influence between US and European interest rates. Only since 9/11, and the ensuing higher economic uncertainty, do the results show a clear leading role for the Fed. Still, the authors suggest that the ECB’s “waiting strategy” in monetary policy is appropriate to Europe’s economies, which are much less flexible than the US economy.'

Plus the fact that the ECB has the challenge of setting monetary policy for economies/countries, that are much less in sync than the regional economies of the US.