metode kuadrat terkecil ( mekucil )

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  • 7/23/2019 Metode Kuadrat Terkecil ( Mekucil )

    1/5

    XKP[BK BKZMJK F[GJXGZ ZKXFK@AD

    Gegdapapzxkejp bkx{sgfge p{gz{ bkzmjk gegdapap pzgzapzafgqgen jaz{o{fge {ez{f bkdgf{fge p{gz{

    kpzabgpa gzg{ skxgbgdge sgjg bgpg qgen gfge jgzgen% [ez{f bkdgf{fge skxgbgdge jkenge hgaf bgfg

    jah{z{lfge hkxhgnga bg`gb aeimxbgpa ,jgzg! qgen `{f{s hgeqgf jge jagbgza jgdgb skxamjk ~gfz{qgen xkdgzai `{f{s sgeogen$ pklaenng lgpad gegdapap zkxpkh{z jgsgz bkenkzgl{a pgbsga hkxgsg hkpgx

    id{fz{gpa qgen zkxogja jge igfzmx"igfzmx gsg pgog qgen bkbskengx{la zkxlgjgs skx{hglge zkxpkh{z%

    Pk`gxg zkmxapzap$ jgdgb gegdapapx{ez{e ~gfz{ ,zabk pkxakp! lgd qgen sgdaen bkekez{fge gjgdgl

    f{gdazgp jge fkgf{xgzge jgxa jgzg"jgzg qgen jaskxmdkl$ pkxzg ~gfz{ gzg{ skxamjk jgxa jgzg"jgzg zkxpkh{z

    jaf{bs{dfge% Oafg jgzg qgen jaf{bs{dfge zkxpkh{z pkbgfae hgeqgf bgfg pkbgfae hgaf s{dg kpzabgpa

    gzg{ skxgbgdge qgen jaskxmdkl% Pkhgdafeqg$ oafg jgzg qgen jaf{bs{dfge pkbgfae pkjafaz bgfg lgpad

    kpzabgpa gzg{ skxgbgdgeeqg gfge pkbgfae okdkf%

    Vp{ezaenRBkzmjk Dkgpz Pw{gxk

    Bkzmjk qgen jgsgz jan{egfge {ez{f gegdapap zabk pkxakp aea gjgdgl

    Bkzmjk Ngxap Daeakx Pk`gxg Hkhgp ,Ixkk Lgej Bkzlmj!$

    Bkzmjk Pkzkengl Xgzg"Xgzg ,Pkba Gykxgnk Bkzlmj!$

    Bkzmjk Xgzg"Xgzg Hkxnkxgf ,Bmyaen Gykxgnk Bkzlmj! jge

    Bkzmjk F{gjxgz Zkxfk`ad ,Dkgpz Pw{gxk Bkzlmj!%

    Pk`gxg fl{p{p$ gegdapap zabk pkxakp jkenge bkzmjk f{gjxgz zkxfk`ad jgsgz jahgna jgdgb j{g fgp{p$

    qgaz{ fgp{p jgzg nkegs jge fgp{p jgzg ngeoad% Skxpgbgge ngxap daekgxjgxa gegdapap zabk pkxakp gfge

    bkenaf{za?

    Q 2 g & h \%

    Fkzkxgenge ? Q gjgdgl ygxaghkd jkskejke ,zgf"hkhgp! qgen ja`gxa zxkejpeqg jge \ gjgdgl ygxaghkdaejkskejke ,hkhgp! jkenge bkenn{egfge ~gfz{ ,hagpgeqg jgdgb zgl{e!%

    Pkjgenfge {ez{f bke`gxa eadga fmepzgezg ,g! jge sgxgbkzkx ,h! jgsgz jasgfga skxpgbgge?

    g 2 Q - E jge

    h 2 \Q - \8

    http://trendsdaily.net/http://trendsdaily.net/http://id.wikipedia.org/wiki/Statistikahttp://id.wikipedia.org/wiki/Informasihttp://id.wikipedia.org/wiki/Datahttp://id.wikipedia.org/wiki/Runtun_waktuhttp://id.wikipedia.org/w/index.php?title=Analisis_tren&action=edit&section=1http://id.wikipedia.org/w/index.php?title=Garis_linear&action=edit&redlink=1http://trendsdaily.net/http://trendsdaily.net/http://id.wikipedia.org/w/index.php?title=Garis_linear&action=edit&redlink=1http://id.wikipedia.org/w/index.php?title=Analisis_tren&action=edit&section=1http://id.wikipedia.org/wiki/Runtun_waktuhttp://id.wikipedia.org/wiki/Datahttp://id.wikipedia.org/wiki/Informasihttp://id.wikipedia.org/wiki/Statistikahttp://trendsdaily.net/
  • 7/23/2019 Metode Kuadrat Terkecil ( Mekucil )

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    Xkikxkepa

    Hage`la B%$ Hmqdk B%$ Lmddaenp~mxzl J% ,7111!$ (G `mbsgxapme mi bkzlmjp imx zxkej

    kpzabgzame($ Gssdakj K`memba`p Dkzzkxp$ 9,8!? 730 731%

    @lgziakdj$ @% ,7110!$ (@gd`{dgzaen Aezkxygd Imxk`gpzp($ Om{xegd mi H{paekpp gej K`memba`Pzgzapza`p$ 77,8!? 787 70;%

    BKZMJK F[GJXGZ ZKXFK@AD

    ,G"8!

    A% Z{o{ge Skx`mhgge

    Z{o{ge jgxa skx`mhgge aea gjgdgl ?

    7% Bkekez{fge ngxap d{x{p zkxhgaf jgxa pko{bdgl sgpgenge jgzg qgen pk`gxg zkmxazap bkbadafal{h{enge daeakx

    8% Bkekez{fge i{enpa daeakx jgxa i{enpa f{gjxgzap%

    0% Bkekez{fge fmkiapake fmxkdgpa jgxa hkhkxgsg sgpgenge jgzg

    AA%Gdgz"Gdgz Skx`mhgge jge I{enpaeqg

    Fgdf{dgzmx ? hkxi{enpa {ez{f bkenlaz{en genfg pk`kxg `ksgz Pkskxgenfgz fmbs{zkx ? {ez{f bkenmdgl genfg qgen zkdgl japkjagfge

    AAA%Zaeog{ge S{pzgfg

    Zghkd qgen jaskxmdkl jgxa skx`mhgge iapafg hagpgeqg hkpgxge zghkd bkengej{en fkpgdglge aelkxkez%Zkxdkhal dgna$ fkpgdglge aelkxkez aea hagpgeqg zajgf gfge jgsgz jaeqgzgfge jkenge jkxgogzfkzajgfzkez{ge6 qgaz{ jafgzgfge hgl~g fkpgdglge aelkxkez jajapzxah{pafge bke{x{z smdg pzgzapzaf zkxzkez{$ jge gjg fkb{enfaege qgen ~gogx hadg hkhkxgsg fkpgdglge gfge `{f{s hkpgx%

    Skxzabhgenge aeadgl qgen bkejgpgxa fazg {ez{f bke`gxa bkzmjk skenmdglge jgzg hgna zghkd jgzgskx`mhgge {ez{f bkbskxmdkl imxb{dg qgen bkenl{h{enfge q jge |% Jalgxgsfge hgl~g imxb{dg aea`{f{s pkjkxlgeg% Lgd skxzgbg qgen lgx{p jaskxlgzafge gjgdgl hgngabgeg jgsgz japabs{dfge hgl~gp{gz{ imxb{dg bkx{sgfge skejkfgzge qgen hgaf jgxa zghkd jgzg% Jgdgb lgd nxgiap$ skxzgeqggejazkxokbglfge pkhgnga? Hgngabgeg jgsgz jas{z{pfge hgl~g f{xyg zkxpkh{z bkx{sgfge f{xyg qgen

    sgdaen zksgz sgjg zazaf "zazaf jgzg%

    Pgdgl pgz{ bkzmjk qgen jan{egfge {ez{f jgsgz bkegenn{dgena zkxogja gjgeqg fkpgdglge qgaz{ jkengeskekxgsge Bkzmjk F{gjxgz Zkxfk`ad ,Dkgpz Pw{gxkp!%Pkhgnga `mezml$ bapgdfge jgxa skengbgzgefk`kejkx{enge {b{b jgzg$ jgsgz fazg sadal q bkx{sgfge i{enpa daeakx ?

    q 2 g| & h

    jkenge | jge q bkx{sgfge ygxaghkd hkhgp$ pkjgenfge g jge h bkx{sgfge sgxgbkzkx% Oafg fazg

    bkbs{eqga pkf{bs{dge jgzg sgpgenge ,|$q!$ jge jgzg zkxpkh{z jangbhgxfge jgdgb hkez{f nxgiaf daekgx$ bgfg gfge jaskxmdkl p{gz{ ngxap d{x{p%

  • 7/23/2019 Metode Kuadrat Terkecil ( Mekucil )

    3/5

    Jkenge bkengenngs hgl~g | bkbadafa pkpgzge qgen dkhal fk`ad jgxa sgjg pkpgzge sgjg q$ bgfg ngxapd{x{p zkxhgaf jgsgz jaskxmdkl hkxjgpgxfge bkzmjk f{gjxgz zkxfk`ad ,xknxkpa zkxlgjgs q!% Eadga g zkxhgaf jaz{dapfge jkenge emzgpa gzpkjgenfge eadga h zkxhgaf jaz{dapfge jkenge emzgpa h z jkenge?

    E | q a !" a a

    gz 2

    E a8 a

    8

    Jge

    a8 a " a aqa!

    hz2

    E a8 " a

    8

    Pkpgzge sgjg eadga pzgzapzaf g jge h hkxpaigz pzgzapzaf jge jaskxmdkl?

    z 2 E

    E a8 " a

    8

    z2 a8

    E a8 " a

    8

    Jkenge?

    Pq 2 a ,g z| ahz !8

    Pkhgxge zazaf"zazaf jgzg jgxa ngxap d{x{p jgsgz ja{f{x hkxjgpgxfge eadga fmkiapake fmxkdgpaeqg ,x!hkxjgpgxfge x{b{p ?

    E a qa ! a a

    a8 " 8 a

    8 a8

    jkenge eadga "7Oafg hkxgxza zazaf"zazaf jgzgeqg jkfgz jkenge ngxap zkxhgaf% Pkjgenfge oafg zazaf"zazaf jgzgeqg hkxog{lge jgxa ngxap d{x{p zkxhgaf%

    Hkhkxgsg i{enpa qgen zajgf daeakx$ jgdgb hgzgp"hgzgp zkxzkez{ jgzg jadaeakxfge% Pkzkdgl jaskxmdkl i{enpadaeakx jgsgz jan{egfge bkzmjk f{gjxgz zkxfk`ad {ez{f bkekez{fge sgxgbkzkx zkxhgafeqg%

    AY% Sxmpkj{x Skx`mhgge

    g! Gbgza pkdkbhgx jgzg qgen gfge jahgnafge mdkl gpapzke

    h! [x{zfge fkzang fkdmbsmf jgzg zkxpkh{z$zkez{fge sgxgbkzkx g jge h hkxaf{z pkpgzgeeqg oafg

    jaskxfaxgfge jgzg zkxpkh{z bkbke{la i{enpa ?

  • 7/23/2019 Metode Kuadrat Terkecil ( Mekucil )

    4/5

    Q 2 g| & h Q 2 g| 8 & h| Q 2 g| 8 & h

    `! Zkez{fge fmkiapake fmxkdgpa {ez{f fkzang i{enpa skxfaxgge sgjg z{ngp em 8 jagzgp% Hkxjgpgxfge

    eadga fmkiapake fmxkdgpa zkxpkh{z zkez{fge i{enpa bgeg qgen sgdaen bkbke{la jgzg qgen zkxpkjag%

    j! Fkxogfge pkskxza sgjg z{ngp 8 jge 0 jagzgp {ez{f fkzang sgpgenge jgzg qgen jahkxafge gpapzke%

    7% Y% Z{ngp Skejgl{d{ge 7% H{fzafge hgl~g ?

    7% 8%P{gz{ i{bnpa pk`gxg zkmxazap jaeqgzgfge pkhgnga q 2 g| 8 & h|% Jgdgb lgd aea | jge qbkx{sgfge ygxaghkd pkjgenfge g jge h bkx{sgfge sgxgbkzkx% Hgngabgegfgl fazg lgx{pbkbadal p{bh{ fmmxjaegz gngx jaskxmdkl i{enpa ngxap d{x{p%

    8% 0%Fkxogfge pkskxza pmgd embmx 8 {ez{f i{enpa q 2 g| 8 & h

    Og~ghge ?

    7% 7%Bapgd jajgsgz p{gz{ jgzg pkhgnga hkxaf{z ?

    \ 2 83-: 2 ;

    ,8";! 8 & ,:";! 8 & ,9";! 8& ,

  • 7/23/2019 Metode Kuadrat Terkecil ( Mekucil )

    5/5

    Ogja

    JGIZGX S[PZGFG

    Omekp%Jx$Kj~ae gej Jx%Xa`lgxj @ladjkxp%@mezkbsmxgxq @mddknk Slqpa`p%B` Nxg~

    Ladd$8337?@md{bhag P@

    Pkgxp$_kbgepfq%Iapafg [ez{f [eaykxpazgp 7 %Haeg @aszg%71