Introduction to MATLAB: As seen in ENGS 20

Let’s start again with our set of data values and take a look at interpolating polynomials of various degrees for these data values:

Linear least-squares fit:

p = polyfit(x,y,1)

Quadratic least-squares fit:

p = polyfit(x,y,2)

Cubic least-squares fit:

p = polyfit(x,y,3)

Quartic least-squares fit:

p = polyfit(x,y,4)

Septic or Heptic least-squares fit:

p = polyfit(x,y,7)

Nonic least-squares fit:

p = polyfit(x,y,9)

Zooming out to show you a bit more of this curve: