Change of Variables

• Sometimes non-linear fit functions (e.g. \(g(t) = a_1 e^{a_2 t}\) ) can be transformed into a linear fit with a change of variables:

\[\log g(t) = \log a_1 + a_2 t = c_1 + c_2 t\] - Another example, the power law \(y\approx f(t)=a_1 t^{a_2}\) can be transformed with a log-log transformation into a linear form:

\[ \log y \approx (\log a_1) + a_2 (\log t) \]