Regression Statistics
The assumption underlying this procedure is that the model can be approximated by a linear function.
where . It follows from this that the least squares estimators are given by
The nonlinear regression statistics are computed and used as in linear regression statistics, but using J in place of X in the formulas. The linear approximation introduces bias into the statistics. Therefore more caution than usual is required in interpreting statistics derived from a nonlinear model.
Read more about this topic: Nonlinear Regression
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“He uses statistics as a drunken man uses lamp-posts—for support rather than illumination.”
—Andrew Lang (1844–1912)