1. ## Nonlinear Regression Analysis?

I know that experimental data should obey the following equation:
a=c1*b^c2*t^c3*exp(-c4/T)
I have an experimental set of data of a,t where; “a” is a dependent and “t” is an independent variable, and “b”,“T” are known constants. I need to find values of c1, c2, c3 and c4 to obtain the particular equation of the data set.

Thank you,
Ludo.

2. Originally Posted by Ludo
I know that experimental data should obey the following equation:
a=c1*b^c2*t^c3*exp(-c4/T)
I have an experimental set of data of a,t where; “a” is a dependent and “t” is an independent variable, and “b”,“T” are known constants. I need to find values of c1, c2, c3 and c4 to obtain the particular equation of the data set.

Thank you,
Ludo.
Put $\displaystyle C=c_1 \times b^{c_2} \times \exp(-c_4/T)$ then your equation becomes:

$\displaystyle a=C \times t^{c_3}$

Now take logs:

$\displaystyle \ln(a)=c_3 \ln(t) + \ln(C)$

which if you take logs of your data is a linear regression problem.

Note you cannot determine $\displaystyle c_1, \ c_2,\$ and $\displaystyle c_4$ only the composite $\displaystyle C$