Let X be the design matrix in Example 2 corresponding to a least squares fit of a parabola to data (x 1 y 1 ), ,(x n , y n ) Suppose x 1 , x 2 , and x 3 are distinct Explain why there is only one parabola that fits the data best, in a least squares sense EXAMPLE 2 If a machine learns the data from ...

In the context of leastsquares regression the design matrix denoted by X represents the matrix of input features used to fit a model to the given data ...

Let X be the design matrix in Example 2 corresponding to a least-squares fit of a parabola

Question:

Let X be the design matrix in Example 2 corresponding to a least-squares fit of a parabola to data (x₁; y₁),.......,(x_n_,y_n). Suppose x₁, x₂, and x₃ are distinct. Explain why there is only one parabola that fits the data best, in a least-squares sense.