Procedure

1. Open the simulation interface for the interpolation experiment.

2. From the Interpolation Method dropdown menu, select one of the following options:

   • Linear Interpolation
   • Lagrange Interpolation
   • Newton’s Divided Differences

3. Enter the known data points in the input field using the prescribed format:
   Format: x1,y1; x2,y2; x3,y3; ...
   (Example: 1,2; 2,4; 3,6)

   Ensure that:

   • Each data pair is separated by a semicolon (;)
   • The x and y values within a pair are separated by a comma (,)

4. Enter the value of the independent variable at which interpolation is required.

5. Click the Submit button to perform the interpolation.

6. Observation:

   • Observe the interpolated value displayed as output.
   • For Linear Interpolation, note that the result is computed using only the two nearest data points.
   • For Lagrange Interpolation and Newton’s Divided Difference methods, note that all provided data points are used to construct the interpolating polynomial.
   • Compare the interpolated values obtained using different methods for the same dataset.

7. Repeat the experiment by changing:

   • The interpolation method
   • The number of data points
   • The interpolation value

   to analyze the effect on the interpolated result.