![]() ![]() The slopes (and the slope uncertainty) are the same. This is the same as said above, but stated in terms of data points.īelow is a Logger Pro file showing two linear fits of almost the same data the data sets are just horizontally offset by 100 units. ![]() If the value of the intercept is changed a lot by a little change in the data, then the intercept will have a bigger uncertainty. The uncertainties of the fitted parameters are a measure of how strongly the parameter depends on the data. The mathematical discussion regarding the uncertainties of fitted parameters in Bevington, or that found in the “Parameter Errors and Correlation” section at (mathematics)#Weighted_linear_least_squares, is how the calculations are done. Why don't Logger Pro (or Graphical Analysis) curve fits always work? Why do curve fits sometimes change on opening a file? How do you calculate linear fits in Logger Pro? If the parameter doesn’t change the fit of the line to the points very much, the uncertainty will be large. If the goodness of fit depends strongly on a particular fit coefficient, the uncertainty will be low. The uncertainties on the coefficients are the standard deviations of the coefficients as the fitting process takes place. ![]() Most of our curve fitting (except for very simple fits, like linear) is done using a non-linear n-dimensional search following methods described in books like Data Reduction and Error Analysis For the Physical Sciences, by Bevington and Robinson. ![]()
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