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Math Help - Nonlinear Regression Analysis?

  1. #1
    Ludo
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    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.
    Could anyone please advise how to do it?

    Thank you,
    Ludo.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Ludo View Post
    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.
    Could anyone please advise how to do it?

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

    a=C \times t^{c_3}

    Now take logs:

    \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 c_1, \ c_2,\ and c_4 only the composite C
    from your data

    RonL
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