home/regression-approach.md

@@ -2,8 +2,9 @@
 title: Regression approach and Tolerance bands - power law
 ---
 
+
 ## Dependency
-It is assumed that the data can be described by a power law, expressed as Y or X-dependent (referring to the second and first axes on a fatigue curve).
+It is assumed that the data can be described by a power law, expressed as Y or X-dependent (referring to the second and first axes on a fatigue curve)
 
 ```math
 Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}}  
@@ -15,7 +16,7 @@ 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
-Using the power-law as a prediction function, the model can be fitted in log10-space as follows.
+Using the power-law as a prediction function, the model can be fitted in log10-space as follows
 
 ```math
 X_{\textrm{log}} = \textrm{log10}\left(X\right), \quad Y_{\textrm{log}} = \textrm{log10}\left(Y\right)