Why is EU correlated with Oil?

1) oil is inversely correlated to the dollar +
2) the euro makes up more than hald of the US Dollar index =

3) the euro and oil move in tandem

I still don't understand. Looking at this weeks oil and EU charts, they are almost identical.

Oil is priced in dollars. The EURUSD is largely driven by the changes in the value of the dollar.

Therefore changes in the USD would result in large changes in the EURUSD and oil. The common correlation is the value of the dollar.

which is ahead - oil or USD / EURUSD?
there was good article in Kathy Lien homepage and seemed that oil

Which one lags less (or correlates better?), oil or the euro? Probably oil, supply and demand have been more constant there where as the eurozone has it's own economic issues.