S.O.T.A LOG-LINEAR REGRESSION ENGINE
Logarithmic
UPDATED: 2026-09-19 00:11 UTC
Max Capitulation Floor
$150.26
Fair Value Compounding
$420.40
Premium / Discount
+70.53%
Peak Euphoria Ceiling
$960.66
This plot models the historical compounding trajectory of QQQ on a logarithmic scale, plotting a degree-1 linear regression fair-value trendline with standard deviation extremities.
Basic models evaluate price deviation against static all-time maximums (e.g., the 2000 Dot-Com Bubble for QQQ or 2008 Financial Crisis for SPY). This deeply flaws the output by compressing modern market activity.
This upgraded engine utilizes a Rolling Z-Score passed through a Sigmoid activation function. This frames "High Risk (1.0)" or "Low Risk (0.0)" relative to the exact macro volatility of the current business cycle, not decades-old anomalies.
The matrix on the right linearly maps the 0-1 risk scale to the absolute dollar distance between the Capitulation and Peak Euphoria bounds. A risk level of 0 represents an absolute crisis floor, while 1.0 represents macro blow-off euphoria.
NOT FINANCIAL ADVICE. FOR EDUCATIONAL PURPOSES ONLY.
| Risk Level | Price |
|---|---|
| 0.00 | $142.75 |
| 0.05 | $186.05 |
| 0.10 | $229.34 |
| 0.15 | $272.64 |
| 0.20 | $315.94 |
| 0.25 | $359.24 |
| 0.30 | $402.53 |
| 0.35 | $445.83 |
| 0.40 | $489.13 |
| 0.45 | $532.43 |
| 0.50 | $575.72 |
| 0.55 | $619.02 |
| 0.60 | $662.32 |
| 0.65 | $705.62 |
| 0.70 | $748.91 |
| 0.75 | $792.21 |
| 0.80 | $835.51 |
| 0.85 | $878.80 |
| 0.90 | $922.10 |
| 0.95 | $965.40 |
| 1.00 | $1,008.70 |