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...Curve fitting least squares approximation data analysis and tting imagine that we are studying a physical system involving two quantities x y also suppose expect linear relationship between these is ax b for some constants wish to conduct an experiment determine the value of collect which plot in rectangular coordinate n since relationships all points should lie on single straight line slope this will be intercept other words have following equations has exactly one solution above consistent unfortunately when our discover do not only expected measurements subject experimental error hand it appears approximately collinear aim nd with equation bax figure ts best course optimality could dened by method many dierent ways customary proceed as follows consider deviations dierences if were lying then there would unique choice such zero general they aren t positive negative or depends parameters condition minimize square root sum choose ba way small possible remark kind called regression earl...