This discussion addresses the challenge of fitting a nonlinear model to data points in Mathematica while incorporating uncertainties in both x and y values. Users can utilize the Weights command to account for y uncertainties, but incorporating x uncertainties requires additional techniques. The concept of "errors in variables" is essential for effectively managing these uncertainties during curve fitting. The provided link to Wavemetrics offers further insights into this topic.
PREREQUISITESData scientists, statisticians, and researchers involved in nonlinear modeling and curve fitting who need to account for uncertainties in both independent and dependent variables.
Screwdriver said: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.