What is the meaning of interpolation and extrapolation?

[smalllion207]

Extrapolation is an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known. Interpolation is an estimation of a value within two known values in a sequence of values. Polynomial interpolation is a method of estimating values between known data points.

[angrypanda814]

Interpolation is guessing data points that fall within the range of the data you have, i.e. between your existing data points. Extrapolation is guessing data points from beyond the range of your data set.

Similarly, what is an example of extrapolation? Extrapolation is a way to make guesses about the future or about some hypothetical situation based on data that you already know. Youre basically taking your “best guess”. For example, lets say your pay increases average per year.

In respect to this, what are the uses of interpolation and extrapolation?

Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.

How do you use extrapolation?

Given the following data which is known to be linear, extrapolate the y value when x = 2.3. The best fitting line is y(x) = 1.27778 x 0.42222, and therefore our approximation of the value at 2.3 is 3.3611. The points, the least-squares fitting line, and the extrapolated point are shown in Figure 1.