Kuadrat leutik: Béda antarrépisi

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''(thisjejer articleieu needsmasih work,merlukeun moretambahan contentnu leuwih jentre, explanationnerangkeun ofdina themetoda Gauss method)''
 
'''Kuadrat pangleutikna''' atawa '''Least squares''' nyaeta teknik [[Optimization (mathematics)|optimizationoptimasi]] [[matematik]] thatnu attemptsdipake tokeur findmanggihkeun a"ragkep hade" atawa "best fit" totina a set ofsusunan data byku attempting to minimize the sum of the squaresngaminimalkeun ofbedama thejumlah differenceskuadrat (calleddisebut ''[[errors and residuals in statistics|residualssesa]]'') betweenantara thefungsi fitted function andrangkep thejeung data.
 
ItIeu isgeus commonlyilahar useddipake indina [[curve fitting|kurva rangkep]]. Many otherLoba [[optimization problems|masalah optimasi]] canbisa alsoditembongkeun bedina expressedbentuk inkuadrat aleutik, least squares form,saperti eitherdina minimizingngaminimalkeun [[energy|tanaga]] oratawa maximizingngamaksimalkeun [[entropy|entropi]].
 
SeeTempo [[linear regression|régrési liniér]] andsarta [[Gauss-Markov theorem|teorema Gauss-Markov]]. TheTeorema Gauss-Markov theoremnyebutkeun saysyen thatestimator leastkuadrat-squaresleutik estimatorsngarupakeun arehal in a certain sensenu pang-optimal-na.
 
ToKeur usemake themetoda methodkuadrat ofleutik leastilaharna squaresmake we use a functionfungsi ''f''(''x''), containingnu somengabogaan numbersababaraha ofwilangan unknownkonstanta constantsnu (forteu dipikanyaho instance(contona ''f''(''x'') = ''mx'' + ''b'', wherenumana ''m'' andsarta ''b'' areteu not yet knowndipikanyaho), andsarta findpanggihkeun the values ofnilai ''m'' andjeung ''b'' thatku minimizengaminimalkeun thejumlah sumkuadrat of the squares of the residualssesa (that isnyaeta, thejumlah sumdina of terms of the formwatesan (''y''<sub>''i''</sub> &minus; ''f''(''x''<sub>''i''</sub>))<sup>2</sup>). WeMangka thenmibanda havepersamaan thekeur equation for the curvekurva, ''y'' = ''f''(''x''), ofbentuk thenu required formdiperlukeun, thatnyaeta bestrangkep fitspanghadena thedina titik data points (''x''<sub>''i''</sub>, ''y''<sub>''i''</sub>).
 
ForKeur fungsi [[linear|linier]] functions ''f'' seetempo [[linear least squares|kuadrat leutik linier]].
 
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