Combinatorics / CONCEPT
Zero Slope Is Optimal Exactly When the Weighted Index Sum Is Balanced
A finite sample is fitted best by a line of zero slope exactly when its position-weighted total is balanced against its total, because completing the square in the slope and the intercept leaves the centred cross term as the only obstruction.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES0
PROOF DEPTH0
DOCUMENT LINKS1
The bridge holds
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
None recorded in this release.
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance