home/regression-approach.md

@@ -4,6 +4,7 @@ title: regression approach - powerlaw
 
 
 
+
 ## 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).
@@ -91,12 +92,20 @@ Compute the error/difference between the model and the data
 ```math
 E = Y_{\textrm{p}} - Y_{\textrm{d}}
 ```
+
+<br>
+<div align="center">
+![subset_error_band](uploads/b35fa634cc7dc99f39255bca21e6fa5c/subset_error_band.png)
+</div>
+
 Extract the data with a positive error. We are only interested in the positive difference, as these are an indication of the points below the mean line.
 
 ```math
 E = E\left[E > 0\right], \quad X_{s} = X_{s}[E>0], \quad Y_{s} = Y_{s}[E>0]
 ```
 
+Sort the data based on the error 
+
 
 <br>
 <div align="center">