TR-PINK-F-076 / Teal / Review draft

Data-performance correlation

Terminology revised · September 12 evidence

Later individual Teal rerun. The reported execution status is historical and is not a new test result.

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
97
TEAL-RERUN-02-B004 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-076 / Data-performance correlation
IF
Invoke F-076 with exactly these inputs: covariance: Real, sigma_x: Real, sigma_y: Real. Real values use finite
decimal text; null remains unknown.
HOW
Source expression: r_xy=Cov(X,Y)/(sigma_x*sigma_y). Current Bangel expression: covariance / (sigma_x *
sigma_y). Require every input to be known. Require sigma_x > 0.0 and sigma_y > 0.0 and
math.abs(covariance) <= sigma_x * sigma_y.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"covariance": "-6", "sigma_x": "2", "sigma_y": "3"}; expected -1. Result matched through
Bangel, admitted JP, the Bangel API, with validated receipt outputs. 3 missing-input cases and 1 supplied
domain cases passed.
SOURCE DIMENSION
ratio
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 173,174; D012 pp. 57,58
Evidence: evidence/rerun/pink/F-076.json

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