Makalah Statistik Deskriptif Regresi Dan Korelasi
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Transcript of Makalah Statistik Deskriptif Regresi Dan Korelasi
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7/21/2019 Makalah Statistik Deskriptif Regresi Dan Korelasi
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UMKUMTJ AHF OBUM@HTJ
TMAMUCHFH
TQHQJTOH AMTOUJWQJN
Tmlmstmr JJJ
Uhclht Ahrlhwhf
Luchllha Zhfsj`u Hoshf
U. Heau``hc
Amffjms Ubssj Eulu`b
Uhabvhf
Mschohs
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Wmfahcu`uhf
Hfh`jsh phshfkhf ^hrjhem` luleutucohf ahth yhfk tmrajrj ahrj 5 om`blpbo chsj` bvsmrvhsj hthu
pmfkuourhf. Ahth yhfk ahpht ajpmrb`mc ahrj emrehkhj ejahfk omkjhthf yhfk lmfkchsj`ohf phshfkhf
besmrvhsj smehfyho f, ajfyhthohf smehkhj (x? y).
Aj ah`hl pmfm`jtjhf j`ljhc, sm`hjf jfkjf lmfufiuoohf cueufkhf hfthrh auh vhrjhem` hthu `mejc ahflmfkuour cueufkhf jtu, iukh jfkjf ahpht lmrhlh`ohf smsuhtu, yhjtu lmfmftuohf fj`hj suhtu vhrjhem`
smsuahc lmfkmthcuj fj`hj-fj`hj vhrjhem` yhfk `hjf. ]ftuo ahpht lmrhlh` chrus ajomthcuj au`u cueufkhf
hfthrh vhrjhem`-vhrjhem` jtu. Zhfk emrcueufkhf amfkhf pmrhlh`hf ahf omsh`hchf pmrhlh`hf,
ajfhlhohf prbsms rmkrmsj. Tmahfkohf pmfkuourhf cueufkhf hfthrh vhrjhem`, ajfhlhohf prbsms obrm`hsj.
Amnmfjsj 9
Umkrmsj ahf obrm`hsj smamrchfh hah`hc suhtu dhrh uftuo lmfkmthcuj cueufkhf hfthrh shtu vhrjhem`
amfkhf shtu vhrjhem` yhfk hjf
Umkrmsj ahf obrm`hsj ajkufhohf uftuo lmlpm`hihrj pb`h ahf lmfkuour cueufkhf
sthtjstjo hfthrh auh hthu mejc vhrjhem`.
Ijoh ajkufhohf chfyh auh vhrjhem` ajsmeut rmkrmsj ahf obrm`hsj smamrchfh.
Ijoh ajkufhohf mejc ahrj auh vhrjhem` ajsmeut rmkrmsj ahf obrm`hsj emrkhfah.
^hrjhem` yhfk hohf ajaukh ajsmeut vhrjhem` tmrjoht (tjaho emehs) hthu ampmfamft vhrjhe`m,
ejhsh ajfyhthohf amfkhf vhrjhem` Z.
^hrjhem` yhfk lmfmrhfkohf pmruehchf vhrjhe`m tmrjoht ajsmeut vhrjhem` emehs hthu
jfampmfamft vhrjhe`m, ejhsh ajfyhthohf amfkhf vhrjhem` S. Wmrshlhhf rmkrmsj (pmfaukh/pmrojrhhf/pmrhlh`hf) ajemftuo uftuo lmfmrhfkohf pb`h
cueufkhf vhrjhem`vhrjhem`.
Hfh`jsh obrm`hsj ajkufhohf uftuo lmfkuour ommrhthf cueufkhf hfthrh vhrjhem`-vhrjhem`.
@hfkohc lmfmftuohf pmrshlhhf cueufkhf Hfthrh vrjhem`,
8. Lmfkulpu`ohf ahth ahrj vhrjhem` yhfk ajeutucohf ljsh`fyh S smehkhj vhrjhem` emehs
ahf Z smehkhj vhrjhem` tjaho emehs.
5. Lmfkkhlehrohf tjtjo-tjtjo phshfkhf (x,y) ah`hl smeuhc sjstml obbrajfht ejahfk. Chsj`ahrj khlehr jtu ajsmeut TDHQQMU AJHKUHL (Ajhkrhl Wmfdhr/Qmehrhf) ajlhfh ahpht
ajehyhfkohf emftuo ourvh ch`us yhfk smsuhj amfkhf ahth.4. Ahrj ajhkhrhl pmfdhr ahpht ajthrjo suhtu khrjs lmfkkhlehrohf fj`hj rhth-rhth y tmrchahp
x, smcjfkkh ajpmrb`mc pmrshlhhf khrjs rmkrmsj.
Nufksj Ajhkrhl Wmfdhr8. Lmlehftu Lmfufiuohf hphohc tmrahpht cueufkhf yhfk emrlhfnhht hfthrh auh vhrjhem`.
5. Lmlehftu lmfmthpohf tjpm pmrshlhhf yhfk lmfufiuoohf cueufkhf hfthrh omauh
vhrjhem` tmrsmeut.
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4. Lmfmftuohf pmrshlhhf khrjs rmkrmsj hthu lmfdhrj fj`hj-fj`hj obfsthf.
Khlehr Tdhttmr Ajhkrhl
Khlehr Tdrhttmr Ajhkrhl amfkhf Khrjs `mfkoufk
Khlehr Tdhttmr Ajhkrhl amfkhf khrjs @jfmhrEjhshfyh yhfk smrjfk ajkufhohf ahf luahc uftuo pmrcjtufkhf, ajkufhohf pmrshlhhf khrjs
`jfmhr ahrj Tdhttmr Ajhkrhl amfkhf khrjs `urus smpmrtj aj hths.
Hfh`jsh Umkrmsj Tmamrchfh
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Wmrshlhhf khrjs rmkrmsj `jfjmr smamrchfh uftuo shlpm` 9 y < h + ex , yhfk ajpmrb`mc
amfkhf lmfkkufhohf Lmtbam Ouharht Qmromdj`.
Ej`h ajemrjohf ahth shlpm` {(xj, yj)? j < 8, 5, , f}lhoh fj`hj aukhhf ouharht tmromdj`ehkj phrhlmtmr ah`hl khrjs rmkrmsj 9 y < h + ex
Ajlhfh 9 y < rhth-rhth pbpu`hsj Z tmrchahp S
H < ihrho hfthrh 7 amfkhf suleu ZEx < Obmnmsjmf rmkrmsj / omljrjfkhf
Ahpht ajpmrb`mc ahrj rulus smehkhj emrjout 9
e < f x y - x .y
fx5(x)
5
< y
f
x < x
fh < -e
Omtmrhfkhf 9
Z < fj`hj yhfk ajuour hthu ajcjtufk phah vhrjhem` tjaho emehsS < fj`hj tmrtmftu ahrj vhrjhem` emehs
h < jftmrsmp/ pmrpbtbfkhf khrjs rmkrmsj amfkhf suleu y
e < obmnjsjmf rmkrms hthu uftuo lmfkuour omfhjohf hthu pmfurufhf y uftuo smtjhp pmruehchfshtu-shtuhf x hthu uftuo lmfkuour emshrfyh pmfkhruc x tmrchahp y oh`hu x fhjo shtu ufjt
amfkhf prjfsjp ouharht ljfjlul (prjfdjp`m bn `mhst squhrms), ahpht ajeuht suhtu khrjs `urus yhfk
lmlj`joj omsmsuhjhf tmrehjo, yhjtu pj`jc smeuhc khrjs amfkhf omsmsuhjhf tmrehjo yhfklmljfjlulohf iul`hc ouharht pmfyjlphfkhf fj`hj yhfk ajhlhtj amfkhf yhfk ajrhlh`ohf. Hthu
lmljfjlulohf 9
fTTM < (Z88)
j
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HFH@JTH OBUM@HTJ ajkufhohf uftuo lmfkuour omouhthf
ommrhthf cueufkhf hfthrh auh vhrjhem` lm`h`uj smeuhc ej`hfkhf yhfk ajsmeut obmnjsjmf obrm`hsj.
Obmnjsjmf obrm`hsj `jfjmr ( r ) hah`hc uourhf cueufkhf `jfjmr hfthrh auh vhrjhem`/pmuehc
hdho S ahf Z uftuo lmfkuour smihuc lhfh tjtjo-tjtjo lmfkkmrbleb` smojthr smeuhc khrjs
`urus rmkrmsj.
Ijoh e pbsjtjn lhoh r pbstjn smahfkohf ijoh e fmkhtjn lhoh r fmkhtjn.
Fj`hj r tmr`mtho ahrj8 shlphj +8 hthu ajtu`js8 r +8
Ej`h r lmfamohtj +8 ahf8 lhoh tmrihaj obrm`hsj tjfkkj ahf tmrihaj cueufkhf `jfjmr yhfk
smlpurfh hfthrh S ahf Z. Ej`h r lmfamohtj 7 cueufkhf `jfjmrfyh shfkht `mlhc hthu tjaho hah.
Ljsh`fyh9
Obmnjsjmf Amtmrljfhsj ( r5)
fj`hjfyh hfthrh 7 ahf 8
uftuo lmfyhthohf prbpbrsj omrhkhlhf tbth` fj`hj-fj`hj pmuehc Z yhfk ahpht ajim`hsohf
b`mc fj`hj-fj`hj pmuehc S lm`h`uj cueufkhf `jfjmr tmrsmeut
Dbftbc 9 r < 7,> hrtjfyh 7,4> hthu 4> % ajhfthrh omrhkhlhf tbth` fj`hj-fj`hj Z ahphtajim`hsohf b`mc cueufkhf `jfjmrfyh amfkhf fj`hj-fj`hj S. hthu Emshrfyh sulehfkhf S
tmrchahp fhjo turuffyh Z hah`hc 4> % smahfkohf >1 % ajsmeheohf b`mc nhotbr `hjf.
Dbftbc 9 Wmfkm`uhrhf uftuo obfsulsj rulhc thfkkh emrohjthf amfkhf pmfahphthf rulhc thfkkh.
Ahth yhfk ajpmrb`mc smehkhj emrjout 9
Wmfahphthf S 83 54 53 45 18 =: 3> ::
Wmfkm`uhrhf (Z) 8; 57 54 5; 45 1> >4 ;1
Ah`hl 87 rjeu rupjhc pmr eu`hf.
h). Euht`hc ajhkrhl pmfdhrfyh.
e). Qmftuohf pmrshlhhf rmkrmsjfyh.d). Wmrojrhohf`hc emshrfyh pmfkm`uhrhf uftuo obfsulsj ijoh pmfahphthffyh Up. :=7.777,77
a). Obmnjsjmf Obrm`hsj ( r ).
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m). Obmnjsjmf Amtmrljfhsj (r5).
Tmeuhc pmfm`jtjhf aj`houohf b`mc smbrhfk pmahkhfk mdmrhf uftuo lmfmftuohf cueufkhf hfthrhejhyh pmlhshfkhf jo`hf pmr ljfkku ahf chsj` pmfiuh`hffyh. Ahth yhfk ajpmrb`mc hah`hc smehkhj
emrjout 9
h). Euht`hc ajhkrhl pmfdhrfyh.e). Qmftuohf pmrshlhhf rmkrmsjfyh.d). Wmrojrhohf`hc emshrfyh pmfiuh`hf ljfkkuhf ijoh pmfkm`uhrhf uftuo jo`hf smemshr 4=.
a). Obmnjsjmf obrm`hsj (r )
m). Obmnjsjmf amtmrljfhsj (r5).
Ejhyh Jo`hf 17 57 5= 57 47 =7 17 57 =7 17 5= =7
Wmfiuh`hf 43= 177 4:= 4>= 1;= 117 1:7 157 =>7 =5= 137 =87
Lmfmftuohf Wmrshlhhf Umkrmsj ahf Obmnjsjmf Obrm`hsj Tmamrchfh hfthrh auh vhrjhem` amfkhf
TWT
Lmfmftuohf pmrshlhhf rmkrmsj ahf obmnjsjmf obrm`hsj smamrchfh hfthrh auh vhrjhem`
amfkhf Mxdm` 5784 Umkrmsj@hfkohc-`hfkohcfyh9
8. Omtjo ahth S phah ob`bl H ahf ahth Z phah ob`bl E
5. Wj`jcAhthphah lmfu uthlh4. Wj`jcAhth Hfh`ysjs
1. Wj`jcUmkrmssjbf
=. O`jo BOTmtm`hc lufdu` obtho ajh`bk
Whah jfput Z rhfkm , sbrbt phah rhfkm E59E; Whah jfput S rhfkm, sbrbt phah rhfkm H59H;
Whah butput rhfkm, omtjo A5 O`jo BO
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Obrm`hsj (amfkhf mxdm` 5784) @hfkohc-`hfkohcfyh98. Wj`jcAhthphah lmfu uthlh
5. Wj`jcAhth hfh`ysjs4. Wj`jc Dbrrm`htjbf1. O`jo BO
Tmtm`hc lufdu` obtho ajh`bkWhahJfput Uhfkm, sbrbt phah rhfkm H59E;
Whah Butput Uhfkm, omtjo A5
O`jo BOFj`hj obmnjsjmf obrm`hsj ( r
5) hfthrh vhrjhem` S ahf Z hah`hc 7,:4=7=
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Lmfmftuohf pmrshlhhf rmkrmsj ahf obmnjsjmf obrm`hsj smamrchfh hfthrh auh vhrjhem`
amfkhf TWTT @hfkohc-`hfkohcfyh9
8. O`jo Hfh`yzm5. O`jo rmkrmssj, pj`jc @jfmhr
4. O`jo vhrjhem` x `h`u lhsuoohf phah obtho Jfampmfamft
1. O`jo vhrjhem` y `h`u lhsuoohf phah obtho Ampmfamft=. O`jo Tthtjstjds, pj`jc Mstjlhtms, Lbam` njt, Amsdrjptjvm>. O`jo Dbftjfum
;. O`jo W`bt, `h`u lhsuoohf Ampmfamft omobtho Z hxjs.
3. Oj`o Dbftjfum:. O`jo Thvm , phah Wrmajdtma vh`um hfah pj`jc ]fsthfahrajzma
87. O`jo Dbftjfum
88. O`jo BO
Dbrrm`htjbfs
Wmhrsbf Dbrrm`htjbf Wmfiuh`hf 8.777 .:4=
Ejhyh Jo`hf .:4= 8.777Tjk. (8-thj`ma) Wmfiuh`hf - .774
Ejhyh jo`hf .774 -
F Wmfiuh`hf > >
Ejhyh Jo`hf > >
HFB^H
Lbam` Tul Bn
Tquhrms
an Lmhf Tquhrm N Tjk.
8 Umkmssjbf ;3.5=8 8 ;3.5=8 5;.35> .77>h
Umsjauh` 88.51: 1 5.385
Qbth` 3:.=77 =
Lbam` Tullhry
Lbam` U U Tquhrm Haiustma U
Tquhrm
Tta. Mrrbr bn tcm
Mstjlhtm
8 .:4=h .3;1 .314 8.>3
h. Wrmajdtbrs9 (Dbfsthft), ejhyh jo`hfe. Ampmfamft ^hrjhe`m9 pmfiuh`hf
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Dbftbc Tbh` 9
Ajomthcuj 5 om`blpbo ahth 9
Om`blpbo ahth pmrthlh 9 ;, 1, 87, :, 8=, 85, 85, ;, :, ;
Om`blpbo ahth omauh 9 3, 88, 1, 4, 5, =, 87, >, 1, 8, 87, 3, 85, >, =, ;
8. Tjlphfkhf rhth-rhthfyh........ IH[HE 9
]ftuo om`blpbo ahth pmrthlh
]ruthf ahth 9 1, ;, ;, ;, :, :, 87, 85, 85, 8=
, >, ;, 3, 3, 87, 87 , 88, 85
5= +4,>5= +4,>5= +1,>5= +=,>5=
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;
5. ^hrjhfsjfyh.. IH[HE 9
]ftuo om`blpbo ahth pmrthlh
T5
< 87, 8;3
]ftuo om`blpbo ahth om-auh
T5 5=
5+8,>5=
5+4,>5=
5+4,>5=
5+1,>5=
5+=,>5=
5
,1 + =>,1 + 8,3: + 8,3: + 7,81 + 7,81 + 7,4: + 5,>1 +
5,>1 + 84.81 + 84.81 + 58,4: + 48,>1
8,5> < 8;,18;
4.
Tthfahra amvjhsjfyh. IH[HE 9
]ftuo om`blpbo ahth pmrthlh
T < < < 4,8:
]ftuo om`blpbo ahth om-auh
T < < < 1,8;
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Ajomthcuj ahth smehkhj emrjout 9
47, =7, 1=, ==, 17, >=, ;7, >7, 37, 4=, 3=, :=,877
8. Fj`hj X8
IH[HE 9
]ruthf ahth 9 47, 4=, 17, 1=, =7, ==, >7, >=, ;7, 37, 3=, :=, 877
@mtho Xj 5= + =,>5=
;
^hrjhfsj (^hrjhfdm)
T5 5=
5+4,>5=
5+4,>5=
5+1,>5=
5+=,>5=
5
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,1 + =>,1 + 8,3: + 8,3: + 7,81 + 7,81 + 7,4: + 5,>1 +
5,>1 + 84.81 + 84.81 + 58,4: + 48,>1
8,5>
< 8;,18;
Tjlphfkhf ehou (Tthfahra Amvjhtjbf)
T < < < 1,8;
Ihfkohuhf Ouhrtj`
@mtho Xj