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1) No errors in the x_i.
2) The y errors are uncorrelated with the x_i.
2) The y errors are zero mean and have equal variances.
Given assumptions 1 - 3, the Gauss-Markov theorem says that the least
squares estimate with be the best linear unbiased estimator.
Is the LSF method developed based on the distribution of errors being
a Gaussian distribution?