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Method of least squares II
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A full plot of C2 versus m shows a minimum: C2min at m = mmin.

In the example, mminis the weighted mean of the measurements obtained by minimizing C2, i.e. determining the 'least-squares' (best fit) value.

Use the mouse (LHB) and move the purple square to find the uncertainty in mmin (e = m - mmin) obtained from m when C2C2min +1. It should be close to 'Error(calc)', which is obtained from the formula:  .

Hit 'reset' to get a new set of values.

We can take the idea a step further to the case where measurements depend on more than one parameter: Least squares fit to a straight line.
 

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1999, 2000 The University of Liverpool, Department of Physics

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