"educated guesses" refers to guesses or assumptions that are made based on knowledge or careful thought rather than random or uninformed guesses. Full definition
In the absence of self identification, we made educated guessed as to the gender and ethnic / racial diversity of those leading the most highly regarded retained executive search firms in the world. (tgsus.com)
With a puppy, it's a lot of educated guessing on how the dog is going to mature. (servicedogsociety.com)
I think «x» because I see «y» Theory: An even more educated guess based on research facts, and evidence. (religion.blogs.cnn.com)