Copyright © Klaus Piontzik  
German Version 
There are two ways to determine an approximate line from the logarithmic (and linearized) data.
Case b) will be discussed below, since case a) can be handled using a commercially available calculation program. We are now looking for the approximation line y = ax + b for the logarithmic values. In the following figure, the approximation line is shown as a dashed line. 
Illustration 7.2 approximation line
There are n values ??given, namely: y_{0}, y_{1}, y_{2}, ... y_{k}, ... y_{n }
with y_{k} = ln w_{k}
There is a minimum y_{min} and a maximum y_{max}
The slope a of the approximation line can be determined from the minmax values ??and the new approximate numbering. The following applies: 
7.4.1  Equation: 
Δ y is the difference between the minimum and maximum values: 
7.4.2  Equation: 

Δ x is the maximum value of the new numbering: 
7.4.3  Equation: 

The additive constant of the function you are looking for results from the smallest value: 
7.4.4  Equation: 

The following applies to the approximation line: 
7.4.5  Equation: 

Inserting all terms gives: 
7.4.6  Equation: 

200 sides, 23 of them in color 154 pictures 38 tables Production und Publishing: ISBN 9783735738547 Price: 25 Euro 
