Simplest Interpolating Polynomial

[chronicals]

Homework Statement

Consider the data in the following table for constant-pressure specific heat, C
p (kJ/kg.K) at various temperatures T (K). Determine the simplest interpolating polynomial that is likely to predict Cp within 1% error over the specified range of temperature.

T : 1000 1100 1200 1300 1400 1500
Cp 1.410 1.1573 1.1722 1.1858 1.1982 1.2095

Homework Equations

The Attempt at a Solution

I am very confused, i am studying ''general least squares,polynomial regression, linear regression, Newton's interpolating polynomials, lagrange interpolating polynomials'' now. I have a question but i don't know which method i should use, can you help me quickly? Thanks. This is my question:

 

[HallsofIvy]

Since the problem says "interpolating polynomials", that let's out any least squares or regression- and, here, both Newton's and Lagrange's methods should give the same fifth degree polynomial.