Handy Polynomial Fitting with Bernstein Polynomials

[Namir]

(11-11-2018 03:10 AM)Valentin Albillo Wrote:  .
Hi, Namir:

(11-10-2018 10:22 PM)Namir Wrote:  I have tested the above concept using Excel and obtained satisfactory Bernstein polynomials fits.

Please use your handy Bernstein Polynomial Excel implementation to fit the following data in [0,1]:

(0, 0), (0.1, 0.01), (0.2, 0.04), (0.3, 0.09), (0.4, 0.16), (0.5, 0.25),
(0.6, 0.36), (0.7, 0.49), (0.8, 0.64), (0.9, 0.81), (1, 1)

What values does produce your Bernstein fit for, say, order 2 ?
What are the coefficients of the Bernstein Polynomial fit ?

Have a nice weekend.
V.
.

Constant = 1
b0 = 0
b1 = -0.5
b2 = -1

And with no constant term
b0 = 1
b1 = 0.5
b2 = 0