Displaying LaTeX estimator notation with caret and subscript

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TL;DR
How to write Latex for ##y_i## with a caret , i.e., y^_i?
Hi,
Trying to Latex in an estimator y^ together with an index, y_i . The latter is obvious as ##y_i##, but I can't get the estimator ^ without mangling it all.
Any ideas?