2. Interpolation & Numerical Methods

Try these first

1. 1.

   Define interpolation in your own words.

   Hint

   Think about why we need it.

2. 2.

   What is the forward difference formula?

   Hint

   Consider the change between points.

3. 3.

   What is interpolation?

   Hint

   Think about its application in real-world scenarios.

4. 4.

   Newton's Forward Interpolation is used when the x value is near the beginning of the dataset.

   • True
   • False

   Hint

   Recall the specific conditions for using Newton's method.

5. 5.

   Given the data points (1,2), (2,3), (4,5), use Newton's Divided Differences to find f(3).

   Hint

   Remember how to calculate each divided difference.

6. 6.

   Estimate the error in interpolation for the estimated f(2.5) using the error term for Newton's method.

   Hint

   Focus on how you derive and apply the error term.