In many cases, simple transformation of variables help to recast a non-linear model in a
linear form. For instance, suppose we wish to fit certain kinetic data to the exponential
model
= exp(*x*). There are non-linear regression programs which accomplish this
task, but we can use a linear regression procedure if we try to fit
*y*^{*}
ln() vs. *x*.
This is because, we have
ln() = ln() + *x* and letting
*y*^{*} = ln()
and
= ln(), we get
*y*^{*} =
+ *x*. The linear regression procedure
will give
and
for the best fit.