What is the “slope’’ of the parabola y = x 2 on [0,1]? Find the best least squares line that fits…

What is the “slope’’ of the parabola y = x2 on [0,1]? Find the best least squares line that fits the parabola at n evenly spaced points in the interval for (a) n = 10 and (b) n = 20. Plot the parabola and the lines. What do you expect the result to be as n → ∞? (c) Find the minimum of the function F (c1, c2) = , and explain its relation to the problem.

 

 

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