1. Introduction
Linear regression Equations for $λ_j$ are derived here:as a function of table elements like the following. A table of some real sample data is found below: $$ \text{ } $$
| $ X_{V\text{ }SD}\left(Volts\right) $ | $Y_{I\text{ }SD}(Amps) $ | $ I_{SD\text{ hand-modeled}} $ | $\frac{ΔY}{ΔX} $ |
|---|---|---|---|
| 1.00000000 | 0.71261233 | 0.70234478 | 0.71261233 |
| 1.12515652 | 0.77522725 | 0.76905370 | 0.50029284 |
| 1.25814426 | 0.83691174 | 0.83474886 | 0.46383569 |
| 1.41560924 | 0.89661342 | 0.90561485 | 0.37914252 |
| 1.58292711 | 0.96057391 | 0.97267991 | 0.38226956 |
| 1.78104079 | 1.01345909 | 1.04109907 | 0.26694372 |
| 1.99155068 | 1.03700638 | 1.10071766 | 0.11185810 |
| 2.24080634 | 1.08575487 | 1.15384483 | 0.19557653 |
| 2.50565815 | 1.11098194 | 1.18949735 | 0.09524947 |
| 2.81925774 | 1.14553201 | 1.20392942 | 0.11017279 |
| 3.17210603 | 1.17214799 | 1.20527661 | 0.07543153 |
| 3.54703307 | 1.18115664 | 1.20670807 | 0.02402785 |
| 3.99096727 | 1.18115664 | 1.20840311 | 0.00000000 |
| 4.46267939 | 1.20860028 | 1.21020412 | 0.05817875 |
| 5.02121258 | 1.19938219 | 1.21233678 | -0.01650394 |
| 5.61469460 | 1.20860028 | 1.21460271 | 0.01553207 |
| 6.31741047 | 1.19938219 | 1.21728575 | -0.01311768 |
| 7.06409597 | 1.21788907 | 1.22013676 | 0.02478532 |
| 7.94821405 | 1.23668146 | 1.22351241 | 0.02125556 |
| 8.88765240 | 1.22724938 | 1.22709930 | -0.01004023 |
| 10.00000000 | 1.24618614 | 1.23134637 | 0.01702422 |
$$\textbf{Table 1.1 Real Sample Data and Hand Optimization of the Shichman-Hodges Slope $λ_j$}$$
The question here is: how is it possible generate the tables and graphs of the optimized plots and to verify the optimization formulas previously derived in the linked formula derivation reference?
Ideally after presentation of ideal tables and graphs, then the corresponding Shichman-Hodges parameters can be graphed and then applied in a Level 1 Spice Simulation graph for that corresponding IRF9510 PMOS transistor model, with identical results.