Easter Egger feather color/pattern to egg color correlation?

[CajunChickenGuy]

So my EE's finally started laying a few weeks ago, and their eggs are all very pretty. I'm getting light blue, light green and tan eggs. I don't know which hen is laying which color egg and was wondering if there is any correlation to the feather color/pattern of the hen and the color of the egg.

I'm guessing that since they are mutts, it's a genetic free-for-all and there is no correlation. Figuring out which hen is laying which eggs would be easy enough. What I'm really curious about is if I can determine how my EE rooster will affect the color of future offspring's eggs...without incubating and waiting for them to lay. I think I know the answer, but would be happy to hear that I'm wrong

 

[CajunChickenGuy]

I did so many google searches with no results, then I just scrolled down and found the existing thread...so much for due diligence.