|Copyright © Klaus Piontzik|
|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: y0, y1, y2, ... yk, ... yn
with yk = ln wk
There is a minimum ymin and a maximum ymax
|The slope a of the approximation line can be determined from the min-max 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:||
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