Update regression approach powerlaw authored by Jamie Engelhardt Simon's avatar Jamie Engelhardt Simon
...@@ -2,6 +2,7 @@ ...@@ -2,6 +2,7 @@
title: regression approach - powerlaw title: regression approach - powerlaw
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## Dependency ## 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). 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).
...@@ -20,7 +21,7 @@ Where $m$ and $C$ are the power slope- and adjustment coefficient, respectively. ...@@ -20,7 +21,7 @@ Where $m$ and $C$ are the power slope- and adjustment coefficient, respectively.
In using the power-law as a prediction function, the model can be fitted in logspace as follows. In using the power-law as a prediction function, the model can be fitted in logspace as follows.
```math ```math
X_{\textrm{log}} = \textrm{log10}\left{X}, Y_{\textrm{log}} = \textrm{log10}\left{Y} X_{\textrm{log}} = \textrm{log10}\left{X}
``` ```
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