An educated guess, at least in a scientific context, is a hypothesis. An estimate is a word for an educated guess about facts or figures, or how much a job may cost.
Examples:
"My hypothesis is that this new chemical can cause cancer."
"I estimate that the building over there is roughly 150 feet high."
"The estimate from the mechanic about the work needed on the car is $300."
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Do you mean an 'educated guess'? An educated guess is a hypothetical inquiry based on prior knowledge or experience of something or something pertaining to it. Basically, it's a "smart guess".
Educated guess.
A theory.
make an educated guess
Hypothesis