Find the least squares solution for the system of equations $y = Ax^2 + B$ where $(x, y)$ belongs to the set {$(0, 1),(1, 5),(−1, 3)$}. What is the geometric (graphical) interpretation of the solution?
Is this done the same way as a least squares solution for $Ax=B$? If not then how do I start this?
It's still a linear least squares problem. If it helps, think of $x^2$ as a new variable $z$, so your equation is $y = A z + B$ and your data points are $(z,y) = (0^2,1), (1^2,5), ((-1)^2,3)$.