Determine probability for 2 2 χ χ x j y j yfx

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Determine probability for 2 0 2 ~ ~ χ χ > x j y j y=f(x) y(x)=A+Bx+Cx 2 +exp(-Dx)+ln(Ex)+… ( ) ( ) = = N j j j j x f y 1 2 2 2 σ χ
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Usually computer program (for example Origin) can minimize as a function of fitting parameters (multi-dimensional landscape) by method of steepest descent. Think about rolling a bowling ball in some energy landscape until it settles at the lowest point 2 χ 2 χ Fitting Parameter Space Best fit (lowest χ 2) Sometimes the fit gets “stuck” in a local minimum like this one. Solution? Give it a “kick” by resetting one of the fitting parameters and trying again
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Example: fitting datapoints to y=A*cos(Bx) “Perfect” Fit
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Example: fitting datapoints to y=A*cos(Bx) “Stuck” in local minima of χ 2landscape fit
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