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Given a change in the input data
, we want to know how it affects the output of the function
. If the change is small enough (so that the propagated change is linear) then the following equation holds:

where
.
For the n-d case, if we assume the errors are normally distributed and independent, we can propagate the errors through the model with:

where y=f(x).
Bob Fisher
Fri Nov 2 16:45:34 GMT 2001