Curve fitting toolbox define max error

I am using curve fitting toolbox for Z=F(x,y)

I am getting results in this below form. Where I can do the setting where I can define max allowed error 0.09 .i.e max I put x & y backin generated equation max devaition I should get from Z is +-0.09 only. This is max/min error in "Z" where I can define that.

Goodness of fit:

SSE: 1.08e+07

R-square: 0.994

Adjusted R-square: 0.994

RMSE: 16.8

[John D'Errico]

Are you confused as to what maximum error might mean? Or, as you asking how to set such a number as a maximum?

The curve fitting toolbox does not provide an option to let you indicate what the maximum residual for any data point will be, thus Z +/- some tolerance.. Surely you should see that you can always choose a model that fits so poorly that this could never be a viable option.

[V]

Will polynomial fit or any other fit equation is formed, it will give a equation, in which when x and y are fitted, will return Zeq.

I consider error = Zer-Zoriginal

the absolute error should not increase +-0.09999.

This is what I am aksing, is there any setting to do that?

[dpb]

As John, says, "No".

It isn't a necessarily fulfillable condition for a specific model (order of polynomial, say).

You could try successive orders of a polynomial until met the condition altho would be easily prone to overfitting that way.