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Regression model

Msawazo Mkuu wa Mlinganyo (MLR)

Msawazo mkuu wa mlinganyo (MLR) ni modeli sanifu ya kurudi nyuma (regression) inayoelezea matokeo yanayoendelea (continuous outcome) kama mchanganyiko wa mstari wenye uzito wa vigezo mtafiti viwili au zaidi pamoja na kosa la nasibu. Uzito usiokuwa na uhakika (vigawo vya kurudi nyuma) hutathminiwa kwa njia ya viwango vidogo zaidi vya makosa (ordinary least squares - OLS), ambayo hupunguza jumla ya mabaki yaliyopimwa. Njia hii inatokana na kazi ya Francis Galton ya mwaka 1886 kuhusu urithi wa kimo na iliwekwa kwa msingi imara wa hisabati na Karl Pearson; kitabu cha Draper na Smith cha mwaka 1966 kilikithibitisha kama mfumo sanifu wa kurudi nyuma kwa vitendo.

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Method map

The neighbourhood of related methods — select a node to explore.

Msawazo Mkuu wa Mlinganyo (MLR)
Uchanganuzi wa Usawazish…Lasso RegressionRegresheni ya LogistikiUchanganuzi wa Faulo wa…Regressioni ya Polinomia…Regressioni ya MtepeUREJESHO SAHIHI WA KILIM…Usawazishaji wa Hatua kw…Utaratibu wa Benjamini-H…Uchanganuzi wa Uhusiano…

+11 more

Vyanzo

  1. Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263. DOI: 10.2307/2841583 ↗
  2. Pearson, K., & Lee, A. (1908). On the generalised probable error in multiple normal correlation. Biometrika, 6(1), 59–68. DOI: 10.1093/biomet/6.1.59 ↗
  3. Draper, N. R., & Smith, H. (1966). Applied Regression Analysis (1st ed.). John Wiley & Sons. ISBN: 9780471221708
  4. Montgomery, D. C., Peck, E. A., & Vining, G. G. (2012). Introduction to Linear Regression Analysis (5th ed.). John Wiley & Sons. ISBN: 9780470542811

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 3). Multiple Linear Regression (Ordinary Least Squares). ScholarGate. https://scholargate.app/sw/statistics/multiple-linear-regression

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Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

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Imerejelewa na

Utaratibu wa Benjamini-Hochberg (Udhibiti wa FDR)Uchanganuzi wa Uhusiano wa KikanuniKipimo cha Chow cha Kukatika kwa MuundoUchanganuzi wa Data za Kiundombinu (CoDA)Kipimo cha Durbin-Watson kwa Utegemezi wa KiotomatikiGeneralized Additive Model (GAM)Ordinary Least Squares (OLS)Usajili wa Viwango vya chini vya sehemu (PLS)Uchambuzi wa Nguvu kwa Regresheni NyingiRegression ya vipengele vikuu (PCR)Jaribio la Ramsey RESET kwa Fomu ya KaziMbinu ya uso wa mwitikio (RSM)Robust Multiple linear regressionUREJESHO SAHIHI WA KILIMO SAHIHIUsawazishaji wa Hatua kwa Hatua

Umeona tatizo kwenye ukurasa huu? Ripoti au pendekeza marekebisho →

ScholarGate — Multiple Linear Regression (Multiple Linear Regression (Ordinary Least Squares)). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/statistics/multiple-linear-regression · Seti ya data: https://doi.org/10.5281/zenodo.20539026