Question

difference between inter polation and extra polation ​

Answer 1

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. These two methods have names that are very similar

To tell the difference between extrapolation and interpolation, we need to look at the prefixes “extra” and “inter.” The prefix “extra” means “outside” or “in addition to.” The prefix “inter” means “in between” or “among.” Just knowing these meanings (from their originals in Latin) goes a long way to distinguish between the two methods.

Interpolation

Suppose that data with x between 0 and 10 is used to produce a regression line y = 2x + 5. We can use this line of best fit to estimate the y value corresponding to x = 6. Simply plug this value into our equation and we see that y = 2(6) + 5 =17. Because our x value is among the range of values used to make the line of best fit, this is an example of interpolation.

Extrapolation

Suppose as before that data with x between 0 and 10 is used to produce a regression line y = 2x + 5. We can use this line of best fit to estimate the y value corresponding to x = 20. Simply plug this value into our equation and we see that y = 2(20) + 5 =45. Because our x value is not among the range of values used to make the line of best fit, this is an example of extrapolation.

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