For 10 points, name this statistical technique that, given some data, produces a curve that minimizes the magnitude of the total distance between the curve and the data.
Some equations for quantities computed by this method can be solved using the so-called analogy principle. A theorem due to Aitken shows that the output of this algorithm has a desirable property known as BLUE-ness when inverse variance weights are used. This procedure fails when a matrix known as X prime X is non-invertible, in which case the explanatory variables are dependent. The results of this method are best linear, unbiased estimators, or BLUE, according to the Gauss-Markoff theorem. The first-order conditions for this method are that both the dependent variable/residual covariance and the expectation of the residuals vanish. For 10 points, name this statistical technique that, given some data, produces a curve that minimizes the magnitude of the total distance between the curve and the data.
Some equations for quantities computed by this method can be solved using the so-called analogy principle.
least squares regression [prompt on regression]