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Simplest Interpolating Polynomial

  1. Apr 11, 2010 #1
    1. The problem statement, all variables and given/known data
    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




    2. Relevant equations



    3. 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:
     
  2. jcsd
  3. Apr 11, 2010 #2

    HallsofIvy

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