Konten dihapus Konten ditambahkan
''(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> − ''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 ]].
==Tumbu kaluar==