In regression analysis, least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the differences between observed values and the values predicted by the
Carl Friedrich Gauss
Adrien-Marie Legendre was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the Legendre polynomials and Legendre transformation are name
Least squares
…best estimate. Instead, his estimator was the posterior median. The first clear and concise exposition of the method of least squares was published by Legendre in 1805. The technique is described as an algebraic procedure for fitting linear equations to data and Legendre demonstrates the new method by analyzing…
Watercolor caricature by Julien-Léopold Boilly (see § Mistaken portrait), the only authenticated portrait of Legendre
Legendre's grave at the Auteuil cemetery
1820 watercolor caricatures of the French mathematicians Adrien-Marie Legendre (left) and Joseph Fourier (right) by French artist Julien-Léopold Boilly, watercolor portrait numbers 29 and 30 of Album de 73 portraits-charge aquarellés des membres de I'Institut.
Side view sketching of French politician Louis Legendre (1752–1797), whose portrait had been mistakenly used, for nearly 200 years, to represent French mathematician Adrien-Marie Legendre, i.e. up until 2005 when the mistake was discovered.