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Linear regression application

New project
I want to solve a linear regression (without errors, with errors on Y, or with errors on Y and X1, X2, ... , Xn)

Start a new project with constant   ( Y = β0 + β1 X1 + β2 X2 + ... )
ORDINARY LEAST SQUARES · WEIGHTED LEAST SQUARES · YORK REGRESSION

Start a new project without constant   ( Y = β1 X1 + β2 X2 + ... )
ORDINARY LEAST SQUARES · WEIGHTED LEAST SQUARES · ITERATIVE ALGORITHM FOR WEIGHTED TOTAL LEAST SQUARES ADJUSTEMENT


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Examples

Bivariate example (Test of the York algorithm)
Multilinear problem


References

Least Squares : Mandel, John (1964). The Statistical Analysis of Experimental Data. New York: Interscience.

Uncertainties : Meyer, Stuart L. (1975), Data Analysis for Scientists and Engineers, Wiley, ISBN 0-471-59995-6

The best straight line (York and al, 2004)

The long-solved problem of the best-fit straight line (York algorithm)

Iterative algorithm for weighted total least squares adjustment (S. Jazaeri, 2013)