st: id-level predictions in panel data after regression

["Hoffman, George" <ghoffman@mcw.edu>]

On a related topic to my graphing query (which was answered so expertly and expeditiously by eric booth): 
I have panel data, multiple observations per id, and wish to generate within-id linear fits.
	xtreg y x, fe  
will produce an average within-id regression, and following it by 
	predict p, xb
will generate the average within-id predictor. But I want an id-specific predictor for each id.

	xtmixed y x || id:, cov(unstruc)
will produce a multilevel id-level regression, and
	predict ypred, fit level(id)
will produce fits within id's, but each fir has the same slope.

There must be a way to get a set of id-specific predictors based on independent id-level regression (?)

Many thanks in advance.
gh

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