I\'m stuck on this problem, and I don\'t even know where to start. Someone help

Question

I'm stuck on this problem, and I don't even know where to start. Someone help me out?

This is an exercise in Least Squares approximation by polynomials, see section 4.3. In general, suppose you are given data (ti, bi), i = 1, ..., m. You want to find a polynomial p of degree n that among all polynomials of degree n minimizes the expression In this problem, m = 4 and n = 0, 1, 2, 3. The data are: We obtain: P0(t) = (Your answer is a constant) and E0 = (your answer is a constant). P1(t) = (Your answer is a linear expression in t)and E1 = (quadratic expression in t) and E2 = P3(t) = (cubic expression in t) and E3 =

Explanation / Answer

po(t)=10.333 e0=505.28 other E u can calculate by your self p1(t)=9.4t +2.8 E1= p2(t)=5.5t^2 +3.9t -2.7 e2= p3(t)=f(x) = p1*x^3 + p2*x^2 + p3*x + p4 p1 = 3 p2 = 1 p3 = 2.069e-015 p4 = -3.462e-016

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