Researchers currently do not have good measurements for Emotional Intelligence. There are many criticisms, and whatever measurements have been devised have been shown to have very little predictive ability for success.
Therefore, how can IQ & EQ possibly be correlated? Answer - it can not, at least by any scientific measurement within the psychological research community today.
The author David Goleman who published the book "Emotional Intelligence" admits that the various components of his emotional intelligence might be quite uncorrelated.