**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.