Okay, so when you are trying to determine if a prediction is an example of interpolation or extrapolation, does the prediction have to be given specifically in the data?
For example, let's say your data included: 2,4,8,10
and your prediction is 9. 9 is not one of the numbers listed, but it's in the range. so is it interpolation or extrapolation?
2007-02-01 14:46:42 · 2 answers · asked by strawberry 7 2 in Science & Mathematics ➔ Mathematics
In the example you give, 9 is an interpolation, because you have data points on both sides. An extrapolation is when you have data points on only one side, and thus have to take the risk of assuming that the existing trend of the previous values will still hold.
2007-02-01 14:52:18 · answer #1 · answered by Vincent G 7 · 0⤊ 0⤋
Interpolation is a method of constructing new data points from a discrete set of known data points.
Extrapolation is the process of constructing new data points outside a discrete set of known data points. It is similar to the process of interpolation, which constructs new points between known points, but its results are often less meaningful, and are subject to greater uncertainty.
So 9 is interpolated because it is between two of your points.
2007-02-01 22:57:23 · answer #2 · answered by Jimmy J 3 · 0⤊ 0⤋