Question

Which of the following formula is used to fit a polynomial for interpolation with equally spaced data?

• A. Newton's divided difference interpolation formula
• B. Lagrange's interpolation formula
• C. Newton's forward interpolation formula
• D. Least-square formula

Hint:

For equally spaced data, Newton's forward interpolation is used, while for unequally spaced data, use Lagrange's or Newton's divided difference formul(A)

Answer 1

The Correct Option is C

Step 1: Understanding interpolation methods. 
- Newton's forward interpolation formula is specifically used for equally spaced dat(A) 
- Newton's divided difference and Lagrange's interpolation work for unequally spaced dat(A) 
Step 2: Selecting the correct option. 
Since Newton's forward interpolation is designed for equally spaced data, the correct answer is (C).