Curve fitting

Question 1

Which of the following best describes the primary goal of polynomial interpolation?

Answer 1

Estimating values between known data points

Question 2

What is a key advantage of Newton’s divided-difference interpolation over Lagrange interpolation?

Answer 2

It allows adding new data points without re-computing all coefficients

Question 3

Which phenomenon can occur when using high-degree interpolating polynomials on equally spaced data?

Answer 3

Runge’s phenomenon

Question 4

When constructing an interpolating polynomial using Newton’s method, the coefficients are computed using:

Answer 4

Divided differences