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...Mit opencourseware http ocw edu multivariable calculus fall for information about citing these materials or our terms of use visit ls least squares interpolation the line suppose you have a large number n experimentally determined points through which want to pass curve there is formula lagrange producing goes exactly but normally one polynomial degree wants find simple like parabola exponential approximately rather than high them reason that location some extent by experimental error so smooth looking averages out errors not wiggly takes seriously in this section we consider most common case finding set data i are and best passes assuming measurement distributed randomly according usual bell shaped called gaussian distribution it can be shown right choice b sum d deviations l minimum quantities parentheses dotted lines picture between observed values yi ones axi would predicted using squared theoretical reasons connected with assumed note however effect ensure only positive important ...