home/regression-approach.md

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 title: regression approach - powerlaw
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 ## Dependency
 
 It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a fatigue curve).
@@ -17,3 +14,13 @@ X = CY^m \leftrightarrow Y = \left(\frac{X}{C}\right)^{\frac{1}{m}}
 
 Where $m$ and $C$ are the power slope- and adjustment coefficient, respectively.
 
+## Fitting procedure
+
+In using the power-law as a prediction function, the model can be fitted in logspace as follows.
+
+```math
+X_{\textrm{log}} = \textrm{log10}\left{X}, \hspace{1mm] Y_{\textrm{log}} = \textrm{log10}\left{Y} 
+```
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+