Claims

Data from any proportional relationship satisfies an equation of the form y = rx, and conversely

Claim · All claims
Evidence · 1 study · theoretical r2 · q2
Currency · newest study 2022 · not yet checked against its sources · not reviewed by a person

Subclaims

Reading the evidence codes

q is the design tier, i the impact, n the sample, and the kind with its r the rigour judged within that kind: what each code means.

This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.

q2 i? The paper derives that any two quantities in a proportional relationship satisfy y = rx for some fixed number r, and that data from any equation y = rx scales in tandem. → James Tanton 2022

Evidence

James Tanton 2022

James Tanton, Ted Coe, April Ström, Kyle Pearce. (2022). Proportional relationships decluttered—at last! White paper. https://www.nwea.org

q2 · i? · theoretical · r2

An analytical derivation in the paper's 'Tables and equations' section scales a generic table row (a, b) to obtain y = (b/a)x, concluding 'the variables satisfy the equation' y = rx and stating the two-way equivalence between scaling in tandem and the equation form.

"The data arising from any proportional relationship satisfies an equation of the form y = rx for some fixed constant r. And, conversely, the data that arises from any given equation of the form y = rx is in a proportional relationship."

Discussion

Page metadata
Field Value
type claim
id proportional-relationship-y-equals-rx-equivalence
title Data from any proportional relationship satisfies an equation of the form y = rx, and conversely
description Data from any proportional relationship satisfies an equation of the form y = rx, and conversely
status review
evidence_strength moderate
newest_evidence 2022
generated by process:wiki-ingest on 2026-10-08
trust unverified — no one has confirmed this page's content
sources 1 — james-tanton-2022

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