Given (x1, y1), (x2, y2),...................,(xn, yn), best fitting data to y = f(x) by Least Squares method requires minimization of

1
\(\sum_{i=1}^{n}[y_i-f(x_i)]\)
2
\(​\sum_{i=1}^{n}[y_i-f(x_i)^2]\)
3
\(\sum_{i=1}^{n}[y_i-f(x_i)]^2\)
4
\(\sum_{i=1}^{n}[y_i-f(x_i)]^3\)

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