Question: 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

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.

EXAMPLE 2 If a machine learns the data from Example 1 by

EXAMPLE 2 If a machine learns the data from Example 1 by creating a least-squares line, what outcome will it predict for the inputs 4 and 6?

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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 ... View full answer

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