How do you find the formula for interpolation?
The formula for interpolation is basically building a function for the unknown variable (y) based on the independent variable and at least two data points – (x 1, y 1) and (x 2, y 2 ). Mathematically, it is represented as, Formula, y = (y2 – y1) / (x2 – x1) * (x – x1) + y1. where, x = Independent Variable. x1 = 1 st Independent Variable.
What is linear interpolation used for?
Linear interpolation is used for fitting curves using linear polynomials. It finds the unknown values in the table. The formula of linear interpolation is given by-
What is the value of F(2) using linear interpolation?
Q.1: Using the interpolation formula, find the value of y at x = 8. Some sets of values are given (2, 6), (5, 9)? Q.2: Find the value of f (2) using linear interpolation method. Given that f (-1) = 4 and f (3) =6. Thus the value of f (2) is 5.5.
What is the interpolation formula in curve fitting?
So, it can be understood that interpolation formula is a method of curve fitting using linear polynomials and hence to construct new data points within the given range of a discrete set of known data points. Linear interpolation has been used since very early time antiquity for filling the unknown values in tables.