Extrapolation Task

An Extrapolation Task is a numerical prediction task where predictions are restricted to points outside of the known space of points.

Example(s):
- We have observed that a country's gross domestic product has been growing an average of 5% per year and was 100 billion dollars last year, what will the GDP be this year?
Counter-Example(s):
- an Interpolation Task.
- a Regression Task.
- a Point Estimation Task.
See: Prediction Error, Linear Interpolation Algorithm, Polynomial Interpolation Algorithm.

References

http://en.wikipedia.org/wiki/Extrapolation
- In mathematics, extrapolation is the process of constructing new data points. It is similar to the process of interpolation, which constructs new points between known points, but the results of extrapolations are often less meaningful, and are subject to greater uncertainty. It may also mean extension of a method, assuming similar methods will be applicable. Extrapolation may also apply to human experience to project, extend, or expand known experience into an area not known or previously experienced so as to arrive at a (usually conjectural) knowledge of the unknown ^[1] (e.g. a driver extrapolates road conditions beyond his sight while driving).