Interpolation Calculator

Make use of this Linear Interpolation Calculator to know the interpolated points for the given coordinates. Our free online calculator makes all the calculations faster by using the below provided formula and generates the output in seconds.

Interpolation Calculator: If you aren't getting the easiest way to calculate the interpolated value from the known coordinate values and looking for any help? Free handy Interpolation calculator tool provided here will give the answer within less time. Utilize this calculator instead of doing lengthy and difficult calculations to find the interpolation for the provided coordinates.

Steps to Calculate Linear Interpolation

Along with the calculator tool, we are also providing the steps by step procedure involved in calculating the linear interpolation. Here, you can get the formula and interpolation meaning in the below sections. Follow these steps to solve your interpolation easily.

  • Take any two coordinates i.e (x1,y1) and (x2,y2)
  • Know at which point x, you want to calculate the linear interpolation value y
  • Get the Linear Interpolation formula
  • Substitute the values in the formula
  • Perform the mathematical calculations to obtain the linear interpolation.

Linear Interpolation Formula

Interpolation is the process of determining the value within two known values and when the sequence of values are also known. The formula to find that unknown value is as follows:

y=(x-x1)*(y2-y1)/(x2-x1)+y1

Example

Question: Find the value of y at x=6 given some set of values are (2,4), (6,7)?

Answer:

Given known values are

x=6, x1=2, x2=6, y1=4, y2=7

Interpolation formula is

y=y1+(x-x1)*(y2-y1)/(x2-x1)

By substituting the given values in the above formula

y=4+(6-2)*(7-4)=4+4*3/(6-2)

y=4+12/4=4+3

y=7

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Interpolation Calculator

Frequently Asked Questions on Interpolation

1. Where do we use interpolation?

Investors use interpolation to create new estimated data values between known data values on a chart.


2. What is interpolation and extrapolation?

Interpolation is an estimation of a value within two known values in a sequence of values. Where extrapolation is an estimation of a value based on extending a known sequence of values beyond the area that is certainly known.


3. What are the different types of interpolation?

The different methods of interpolation are linear, cubic spline, and quadratic interpolation.


4. What is the formula to calculate interpolation?

The formula for the linear interpolation process is y=y1+(x-x1)*(y2-y1)/(x2-x1).


5. How to use an Interpolation calculator?

Provide your coordinate values in the input fields and also enter the point where you perform the interpolation and hit the calculate button. Automatically, our calculator tool gives you the accurate answer at the output section.