Mathematica Curve Fitting With Uncertainties

[Screwdriver]

I have a set of data points $\{\{x_1, y_1\}, \{x_2, y_2\} ... \}$ each with an uncertainty $\{\{dx_1, dy_1,\}, \{dx_2, dy_2\} ...\}$. Is there any way of fitting a nonlinear model to the data that incorporates the uncertainties on both $x$ and $y$? I know that you can use the Weights command to incorporate the uncertainties on the $y$ values, but I don't know how to get the $x$ uncertainties in there as well.

 

[The Electrician]

I have a set of data points $\{\{x_1, y_1\}, \{x_2, y_2\} ... \}$ each with an uncertainty $\{\{dx_1, dy_1,\}, \{dx_2, dy_2\} ...\}$. Is there any way of fitting a nonlinear model to the data that incorporates the uncertainties on both $x$ and $y$? I know that you can use the Weights command to incorporate the uncertainties on the $y$ values, but I don't know how to get the $x$ uncertainties in there as well.

You need to read up on "errors in variables":

http://www.wavemetrics.com/products/igorpro/dataanalysis/curvefitting/errorsinvariables.htm