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## Homework Statement

Suppose you have a set S of three points in R^2,

S1 = {(1, 12), (2, 15), (3, 16)}

S2 = {(1, 12), (1, 15), (3, 16)}

S3 = {(1, 12), (2, 15), (2, 15)}

which you seek to interpolate with the quadratic polynomial p(t) = a_0 + a_1t + a_2t^2.

Problem: Least-Squares Approximation. Find the least-squares solution for S3 which we previously found to have no solution.

## Homework Equations

## The Attempt at a Solution

I understand the idea of least squares solutions I think, if I have a matrix and a solution but i'm confused about this one. I'm just not seeing where to start this. If someone could please get me going that would be great. Thanks