Linear Algebra and Its Applications · Problem 3.3.25

Orthogonality — Gilbert Strang

Mathematics · least-squares-parabola-fit

Problem

Suppose that instead of a straight line, we fit the data in Problem 24 by a parabola:

y = C + Dt + Et^2

. In the inconsistent system

Ax = b

that comes from the four measurements, what are the coefficient matrix

A

, the unknown vector

x

, and the data vector

b

? You need not compute

\hat{x}