Enter Data Points:
How to Use the Interpolation Calculator
- Enter the data points by filling in the x and y values.
- Click “Add Data Point” to include more points as needed.
- Provide the value of x at which you wish to interpolate.
- If desired, adjust any advanced options such as the interpolation method or precision.
- Click “Calculate” to compute the interpolated value.
Benefits of Using This Calculator
- Saves time by automating complex interpolation calculations.
- Supports multiple interpolation methods for flexibility.
- User-friendly interface with easy data input and visualization.
- Provides visual plots to better understand data trends.
Examples
Example 1: Interpolating at x = 2.5
Given data points:
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
To find the value of y at x = 2.5, input the data points and x value into the calculator and click “Calculate”. The interpolated value will be displayed along with a plot.
Example 2: Using Advanced Options
Suppose you have non-uniformly spaced data and you want to use Newton’s Divided Differences method with higher precision. Adjust the advanced options accordingly before calculating.
Frequently Asked Questions (FAQ)
What is interpolation?
Interpolation is a method of estimating unknown values that fall between known data points.
What is the difference between Lagrange and Newton interpolation?
Lagrange interpolation uses the Lagrange polynomial to estimate the value, while Newton’s method uses divided differences. Both methods are polynomial interpolation techniques but have different computational approaches.
Can this calculator perform extrapolation?
Yes, by enabling the “Allow Extrapolation” option in the Advanced Options, you can calculate values outside the range of your provided data points.
What is decimal precision?
Decimal precision refers to the number of decimal places displayed in the result. You can adjust this in the Advanced Options.
