Interpolation is a useful mathematical and statistical tool used to find a value between two points on a line or curve. If linear interpolation formula is concerned then it can be used to find the new value from the two given points. If we compare it to Lagrange’s interpolation formula, the “n” set of numbers is needed.
Linear Interpolation Example
Linear interpolation involves estimating a new value by connecting two adjacent known values with a straight line. If the two known values are (x1, y1) and (x2, y2), then the y value for some point x is. Suppose:
X1 = 2, Y1 = 3
X2 = 8, Y2 = 6
Target X = 4
y - y1 = [(y2 - y1) / (x2 - x1)] * (x - x1)
- x1 and y1 are the first coordinates
- x2 and y2 are the second coordinates
- x is the point to perform the interpolation
- y is the interpolated value.
Target Y = 4 as shown in the Figure above.