Definition of InterpolateDate: 10/27/95 at 5:56:19 From: Anonymous Subject: Interpolate Could you please define interpolate and give me an example? I have looked in "The Book of Answers" and it defines interpolate: Determination of an intermediary value of a function by means of a sequence of known values of the function. Please help! Mark Date: 11/7/95 at 13:0:8 From: Doctor Steve Subject: Re: Interpolate Hi Mark, In more informal language, interpolate means to guess at what happens between two values you already know. If I gave you a sequence of numbers and asked you to fill in the missing number you would be interpolating: 0,1,2, ... ,6 But, since you don't know the rule I'm using, you're only making a guess. It often happens, for instance in economics, that you know the data but you don't know what the formula is that explains why something happened that way or what the next value will be. I might calculate the national debt every three months and that might enable me to make a good guess what it was the two months in between. Usually when you make an interpolation you are making an assumption that the behavior you're looking at is predictable or that the amount of error in your guess can't be enough to prevent you from using it. In the sequence I gave above you might interpolate a value of 4 and have some confidence that you wouldn't be more than one off. So interpolation relies on some assumptions about the behavior of whatever you're investigating that make it possible for you to guess values for which you only have information about what happened "before" and "after". - Doctor Steve, The Geometry Forum |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2015 The Math Forum
http://mathforum.org/dr.math/