# What is linear interpolation?

## What is linear interpolation?

Linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

## What is the most common method of interpolation?

Linear interpolation is by far the most commonly used method, as it is both easier to interpret and easier to use. Visually, linear interpolation means drawing a secant line between the points that you know, and finding the point on the line that corresponds with the value you want to know about.

What is the linear interpolant for the given data point?

The linear function y = f(x) described above is known as the linear interpolant for the given two data points. Linear interpolation is, in fact, a special case of Lagrange’s interpolation formula for fitting an nth degree polynomial through n data points.

### What is the difference between arithmetic interpolation and geometric interpolation?

Algebraically, the difference between the two can be loosely described as the difference between the arithmetic mean (linear interpolation) and the geometric mean (exponential interpolation).

### What is the Blue Line in linear interpolation?

Linear interpolation. Given the two red points, the blue line is the linear interpolant between the points, and the value y at x may be found by linear interpolation. In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

How do you find Y AT X in linear interpolation?

Given the two red points, the blue line is the linear interpolant between the points, and the value y at x may be found by linear interpolation. In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.