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Problem
Given data (xi, yi), for i = 1, 2, ..., n, extrapolate a value outside the range of x values.
Assumptions
We will assume the data is correctly modeled by a curve on which we may either apply linear regression, or may apply a transformation to linear regression.
Tools
We will use linear regression.
Process
Find the least-squares regression curve, and evaluate that function at that point.
The error in our extrapolated value depends on how far we are from the mean of the x values.
Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.
