I saw what I think was a bobcat while walking my dog. I also found some tracks and scat that is full of hair. Not sure if this is of interest to any natural resource entities.
Washtenaw County Michigan human-wildlife issues
From what I have heard, there is the belief that bobcats could be in the area. But you might want to call the Michigan Department of Natural Resources in Lansing and see what they have to say. I am not in my office so I don't have a phone number handy.
Do an online search for Michigan Department of Agriculture Wildlife Division.