Multiple Non Linear Regression Linear


I just note a list of transformations from non linear regression to linear regression since not all evaluation result fulfil linear correlation.

Exponential
Formula :
Y = A \exp^{bX}
Linear :
\ln(Y) = \ln(A) + bX
summary :
Dependent variable = \ln(Y)

Power
Formula :
Y = A X^{b}
Linear :
\ln(Y) = \ln(A) + b\ln(X)
summary :
Dependent variable = \ln(Y)\\  Independent variable = \ln(X)
Logarithmic
Formula :
Y = a + b \ln(X)
Linear :
Y = \ln(A) + b\ln(X)
summary :
Independent variable = \ln(X)

Hyperbolas
Formula :
Y = \frac{X}{aX-b}
Linear :
\frac{1}{Y} = a -b \frac{1}{X}
summary :
Dependent variable = \frac{1}{Y} \\  Independent variable = \frac{1}{X}

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