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Simple linear regression — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Simple_linear_regression
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-06T12:54:18.563Z
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Simple linear regression — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Simple_linear_regression (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_321ce64ed995 (Metraipolis archive dc_321ce64ed995, sha256 ac1aac39a1bb5baccbc03e4772b3e05f886302f677a4f8c0d419aff01e9555c9)

BibTeX

@misc{dc321ce64ed995,
  title = {Simple linear regression — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Simple_linear_regression},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_321ce64ed995; sha256 ac1aac39a1bb5baccbc03e4772b3e05f886302f677a4f8c0d419aff01e9555c9},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Simple_linear_regression. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In statistics, simple linear regression (SLR) is a linear regression model with a single explanatory variable. That is, it concerns two-dimensional sample points with one independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function (a non-vertical straight line) that, as accurately as possible, predicts the dependent variable values as a function of the independent variable. The adjective simple refers to the fact that the outcome variable is related to a single predictor. It is common to make the additional stipulation that the ordinary least squares (OLS) method should be used: the accuracy of each predicted value is measured by its squared residual (vertical distance between the point of the data set and the fitted line), and the goal is to make the sum of these squared deviations as small as possible. In this case, the slope of the fitted line is equal to the correlation between y and x corrected by the ratio of standard deviations of these variables. The intercept of the fitted line is such that the line passes through the center of mass (x, y) of the data points.

Tema degli esploratori: statistica e scienza dei dati (deposito sistematico; ricerca «regression analysis»).
Fonte: Wikipedia in inglese, voce «Simple linear regression» — https://en.wikipedia.org/wiki/Simple_linear_regression
Wikidata Q7520804: «linear regression model with a single explanatory variable» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7520804
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Simple_linear_regression?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1374959526, consultata il 2026-10-06T11:10:31.988Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: bf927b75c467cdcd9503f6edf1072180d10f5c93ecd596d26c3aaf19c1d44627