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Least Squares Fitting to a Straight Line

Fit y = a + bx to a set of data tex2html_wrap_inline325 . We choose a and b such that tex2html_wrap_inline331 . This is the method of least squares and is a special case of the method of maximum likelihood.

Essentially we are minimising the tex2html_wrap_inline309 statistic. We find that:
tex2html_wrap_inline335
tex2html_wrap_inline337
tex2html_wrap_inline339 .



Michael Burton
Wed Sep 3 22:07:11 EST 1997