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# File:OLS geometric interpretation.svg
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Size of this PNG preview of this SVG file: [658 × 440 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/658px-OLS_geometric_interpretation.svg.png). Other resolutions: [320 × 214 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/330px-OLS_geometric_interpretation.svg.png) \| [640 × 428 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/640px-OLS_geometric_interpretation.svg.png) \| [1,024 × 685 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/1024px-OLS_geometric_interpretation.svg.png) \| [1,280 × 856 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/1280px-OLS_geometric_interpretation.svg.png) \| [2,560 × 1,712 pixels](https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/OLS_geometric_interpretation.svg/2560px-OLS_geometric_interpretation.svg.png).
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## Captions
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## Summary
\[[edit](https://commons.wikimedia.org/w/index.php?title=File:OLS_geometric_interpretation.svg&action=edit§ion=1 "Edit section: Summary")\]
| | |
|---|---|
| DescriptionOLS geometric interpretation.svg | **English:** Linear regression of y on X can be viewed as an orthogonal projection of vector y on the linear subspace spanned by X; with the OLS estimator being the coefficients of decomposition of the projected vector by the basis of X. |
| Source | Own work |
| Author | [Stpasha](https://commons.wikimedia.org/wiki/User:Stpasha "User:Stpasha") |
## Licensing
\[[edit](https://commons.wikimedia.org/w/index.php?title=File:OLS_geometric_interpretation.svg&action=edit§ion=2 "Edit section: Licensing")\]
| |
|---|
| Public domainPublic domainfalsefalse |
| | |
|---|---|
|  | I, the copyright holder of this work, release this work into the **[public domain](https://en.wikipedia.org/wiki/en:public_domain "w:en:public domain")**. This applies worldwide. In some countries this may not be legally possible; if so: *I grant anyone the right to use this work **for any purpose**, without any conditions, unless such conditions are required by law.* |
## File history
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| | Date/Time | Thumbnail | Dimensions | User | Comment |
|---|---|---|---|---|---|
| current | [12:35, 15 July 2009](https://upload.wikimedia.org/wikipedia/commons/8/87/OLS_geometric_interpretation.svg) | [](https://upload.wikimedia.org/wikipedia/commons/8/87/OLS_geometric_interpretation.svg) | 658 × 440 (24 KB) | [Stpasha](https://commons.wikimedia.org/wiki/User:Stpasha "User:Stpasha") ([talk](https://commons.wikimedia.org/wiki/User_talk:Stpasha "User talk:Stpasha") \| [contribs](https://commons.wikimedia.org/wiki/Special:Contributions/Stpasha "Special:Contributions/Stpasha")) | image size fit to the size of the content |
| | [12:32, 15 July 2009](https://upload.wikimedia.org/wikipedia/commons/archive/8/87/20090715123522%21OLS_geometric_interpretation.svg) | [](https://upload.wikimedia.org/wikipedia/commons/archive/8/87/20090715123522%21OLS_geometric_interpretation.svg) | 744 × 1,052 (24 KB) | [Stpasha](https://commons.wikimedia.org/wiki/User:Stpasha "User:Stpasha") ([talk](https://commons.wikimedia.org/wiki/User_talk:Stpasha "User talk:Stpasha") \| [contribs](https://commons.wikimedia.org/wiki/Special:Contributions/Stpasha "Special:Contributions/Stpasha")) | {{Information \|Description={{en\|1=Linear regression of y on X can be viewed as an orthogonal projection of vector y on the linear subspace spanned by X; with the OLS estimator being the coefficients of decomposition of the projected vector by the basis of |
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## File usage on other wikis
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- [Lineární regrese](https://cs.wikipedia.org/wiki/Line%C3%A1rn%C3%AD_regrese)
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- [User:Stephen1729/sandbox](https://en.wikipedia.org/wiki/User:Stephen1729/sandbox)

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