Alfisol, Item 003:  LMMpro, version 1.06 The Langmuir Optimization Program The MichaelisMenten Optimization Program. 
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The etastarsquare term is used here for the correlation coefficient value of the untransformed data.
The η_{*}^{2} assumes that a normal minimum for the error terms corresponds to a better curve fit of the data collected. It is defined as:

A perfect fit by a curve will have η_{*}^{2} = 1.00, whereas a poor fit by a curve will have a low value. If η_{*}^{2} = 0, then the predicted curve is no better than a simple average of the data collected. With all regressions, η_{*}^{2} < 1, always.
This is too difficult to do by hand. Computers are needed to perform these calculations easily and quickly.