How to fit data to a curve with known error bars and draw it?

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Using built-in functions like fit(...) or nlinfit(...), how exactly do I fit data to a curve with known error bars?
Let's say in general I have
[x,y,err_x,err_y]
And now I want to make a fit for it, say: fit=fit(x,y,'exp1')
And later want to draw everything with the errorbars using errorbar(...)
How exactly do I do that?
EDIT: knowing how to do this for the more simple case of no errors in the X axis would also help. Say I have:
[x,y,err_y]
And now I want to make a fit for it, say: fit=fit(x,y,'exp1')
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the cyclist
the cyclist 2019-8-17
编辑:the cyclist 2019-8-17
Do you mean that you want to do a fit where both your x and y variables have known measurement error? (Unlike, say, an ordinary least squares fit, where all error is assumed to be in y?)
To my knowledge, MATLAB does not have a built-in function for that. I have done Deming regression using this function from the File Exchange.

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