makalah statistik deskriptif regresi dan korelasi

7/21/2019 Makalah Statistik Deskriptif Regresi Dan Korelasi

1/16

UMKUMTJ AHF OBUM@HTJ

TMAMUCHFH

TQHQJTOH AMTOUJWQJN

Tmlmstmr JJJ

Uhclht Ahrlhwhf

Luchllha Zhfsj`u Hoshf

U. Heau``hc

Amffjms Ubssj Eulu`b

Uhabvhf

Mschohs


2/16

Wmfahcuùhf

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 lmfkchsjòhf 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 lmrhlhòhf smsuhtu, yhjtu lmfmftuohf fj`hj suhtu vhrjhem`

smsuahc lmfkmthcuj fj`hj-fj`hj vhrjhem` yhfk `hjf. ]ftuo ahpht lmrhlh` chrus ajomthcuj auù 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. Lmfkulpuòhf 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. Chsjàhrj khlehr jtu ajsmeut TDHQQMU AJHKUHL (Ajhkrhl Wmfdhr/Qmehrhf) ajlhfh ahpht

ajehyhfkohf emftuo ourvh chùs 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.


3/16

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


4/16

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 tmromdjèhkj 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 ùrus yhfk

lmlj`joj omsmsuhjhf tmrehjo, yhjtu pj`jc smeuhc khrjs amfkhf omsmsuhjhf tmrehjo yhfklmljfjlulohf iul`hc ouharht pmfyjlphfkhf fj`hj yhfk ajhlhtj amfkhf yhfk ajrhlhòhf. Hthu

lmljfjlulohf 9

fTTM < (Z88)

j


5/16

HFH@JTH OBUM@HTJ ajkufhohf uftuo lmfkuour omouhthf

ommrhthf cueufkhf hfthrh auh vhrjhem` lm`hùj 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

ùrus 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`hùj 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 Wmfkmùhrhf uftuo obfsulsj rulhc thfkkh emrohjthf amfkhf pmfahphthf rulhc thfkkh.

Ahth yhfk ajpmrb`mc smehkhj emrjout 9

Wmfahphthf S 83 54 53 45 18 =: 3> ::

Wmfkmùhrhf (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 pmfkmùhrhf uftuo obfsulsj ijoh pmfahphthffyh Up. :=7.777,77

a). Obmnjsjmf Obrm`hsj ( r ).


6/16

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


7/16


8/16

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=


9/16

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 `hù lhsuoohf phah obtho Jfampmfamft

1. O`jo vhrjhem` y `hù lhsuoohf phah obtho Ampmfamft=. O`jo Tthtjstjds, pj`jc Mstjlhtms, Lbam` njt, Amsdrjptjvm>. O`jo Dbftjfum

;. O`jo W`bt, `hù lhsuoohf Ampmfamft omobtho Z hxjs.

3. Ojò Dbftjfum:. O`jo Thvm , phah Wrmajdtma vhùm 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


10/16


11/16

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=


12/16

;

5. ^hrjhfsjfyh.. IH[HE 9


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


T < < < 4,8:

]ftuo om`blpbo ahth om-auh

T < < < 1,8;


13/16

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


15/16

,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

makalah statistik deskriptif regresi dan korelasi

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