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Suppose given data points (x 1 ,y 1 ) = (2,3), (x 2 ,y 2 ) =(4,7), (x 3 ,y 3 ) =(6,5), (x 4

Suppose given data points (x₁,y₁) = (2,3), (x₂,y₂) =(4,7), (x₃,y₃) =(6,5), (x₄,y₄) =(9,14). Find the least-squares linear fit to this set of data. Then find the polynomial of smallest degree that fits the points exactly.

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