Analisis Variabel Dummy (Variabel terikat) Untuk Memenuhi Tugas Mata Kuliah: EKONOMETRIKA (ABKC1508)
DOSEN PENGAMPU: Drs. H. Karim, M.Si Rizki Amalia, M.!
Disusun Oleh: 1. Iskandar
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RO"RAM ST#DI ENDIDIKAN MATEMATIKA MATEMATIKA $#R#SAN ENDIDIKAN MATEMATIKA DAN IA %AK#&TAS KE"#R#AN DAN I&M# ENDIDIKAN #NI'ERSITAS #NI'ERSITAS &AMB#N" MAN"K#RAT BAN$ARMASIN 01
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KATA KATA EN"ANTAR EN"ANTAR Pu-i sukur kami /an-atkan ke/ada Allah S0T ang telah melim/ahkan karunia ke/ada
Analisis Variabel ariabel Dummy Dummy (Variabe (Variabell hama hamaN Na2 a2 sehi sehing ngga ga maka makala lah h ang ang erer-udu udull 3Analisis terikat) 4 ini da/at diselesaikan. Dengan terselesaikanna makalah ini dihara/kan makalah ini da/at memeri man*aat ke/ada /ema5a. Selain itu2 tak lu/a /ula kami mengu5a/kan terima kasih ke/ada semua /ihak ang telah memantu dalam /enelesaian makalah ini. Terima kasih seesar6esarna /enulis u5a/kan ke/ada +a/ak Drs. H. Karim, M.Si. dan Iu Rizk* Amalia, M.!. selaku d7sen /enga-ar ang telah memerikan imingan dan arahan dalam /enger-aan dan /enusunan ahan hingga da/at disa-ikan dalam kara tulis ini. Tidak lu/a u5a/an terima kasih ke/ada /ihak6/ihak ang tidak isa diseutkan satu /er satu ang -uga turut memantu dalam /r7ses /enusunan makalah ini. Kami Kami mena menadar darii ah8a ah8a dala dalam m /em /emua uata tan n maka makala lah h ini masi masih h ana anak k memi memili liki ki kekurangan aik dari segi /enulisan2 isi dan lain seagaina. Kami menghara/kan saran dan kritik ang memangun demi kesem/urnaan makalah ini. Atas /erhatian semua /ihak2 kami mengu5a/kan terima kasih.
+an-armasin2 &9 Desemer
Penulis
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Da+ar Isi
KATA PENGANTA;.......................................................................................................................i Da*tar Isi..........................................................................................................................................ii +A+ I...............................................................................................................................................1 PENDA'U
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Tu-uan... Tu-uan.......... ............. ............. .............. ............. ............. .............. .............. ............. ............. .............. .............. ............. ............. .............. ............. ..................... ........................1 .........1
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Peng7lahan Peng7lahan <7git...... <7git............. .............. ............. ............. .............. .............. ............. ............. .............. .............. ............. ............. .............. .................. ...................., .........,
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ariale >ariale terikat% terikat%.......... ...............................? .....................? a.
In/ut data data ke dalam SPSS........ SPSS............... .............. ............. ............. .............. ............. ............. .............. .............. ............. ....................... ......................? .....?
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Pada >ariale >ie8 masukan >ariale @2 @2 12&2 dan "..................................... .........? ........ .?
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Klik Anal)e Anal)e /ilih /ilih regressi7n regressi7n kemudian kemudian klik klik inar l7gisti l7gisti5....... 5.............. .............. ............. ................... ...............11 ..11
d. Masukk Masukkan an @ seaga seagaii >aria >ariael el de/ende de/enden n dengan dengan 5ara klik klik @ di k7ta k7tak k kiri2 kiri2 kemudi kemudian an klik tanda /anah di sam/ing k7tak Dependent k7tak Dependent . Masukkan 12 & dan " ke dalam k7tak Covariates2 Covariates2 dengan 5ara klik masing6masing >ariael2 kemudian klik tanda /anah di sam/ing k7tak Covariates. Covariates. Dan klik Ok................................................................................11 e. Kemudian Kemudian klik !lassi* !lassi*i5ati i5ati7n 7n /l7ts2 /l7ts2 '7smer6< '7smer6
Selan-utna Selan-utna klik OK.............. OK..................... .............. ............. ............. .............. .............. ............. ............. .............. ............. ............. ............... ................1& ........1& Inter/reta Inter/retasi si 7ut/ut SPSS........... SPSS.................. ............. ............. .............. .............. ............. ............. .............. .............. ............. ............. .......................1& ................1&
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Identi*ikas Identi*ikasii Data ang hilang.......... hilang................. .............. ............. ............. .............. ............. ............. .............. .............. ..........................1& ...................1&
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e.
Mengu-i K7e*isi K7e*isien en ;egresi....... ;egresi.............. .............. ............. ............. .............. ............. ............. .............. ................ ............................... .......................1$ .1$
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Analisis Analisis Data........ Data............... .............. ............. ............. .............. ............. ............. .............. .............. ............. ............. .............. .............. ............. ............. .................&& ..........&& a.
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Analis Data 'asil Out/ut SPSS..................................................................... ..............&,
+A+ III.........................................................................................................................................."$ KESIMPU
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BAB I ENDAH#AN A. &aar B-lak B-laka/ a/ Variabel dependent pada dasarnya tidak hanya dapat dipengaruhi oleh ole h var variab iabel el ind indepe epende ndent nt ku kuant antita itatif tif,, te tetapi tapi jug juga a dim dimung ungkin kinka kan n ole oleh h variabel kualitatif. (Catatan: sebenarnya variabel dependent juga dapat berbentuk variabel kualitatif, tetapi hal tersebut akan kita bahas pada tuli tu lisa san n ya yang ng la lain in). ). a alu lu ba bagai gaima mana na !a !ara ra ki kita ta me mema masuk sukka kan n va vari riab abel el independent kualitatif tersebut (yang tidak berbentuk angka) ke dalam model regresi kita" Vari Va riabe abell
kua uali lita tati tiff
ters te rseb ebut ut
harus har us
dik di kua uant ntit itat atif ifka kan n
atri at ribu butn tnya ya
(!irinya) (!ir inya).. #ntuk meng mengkuan kuantitat titatifkan ifkan atrib atribut ut vari variabel abel kual kualitati itatif, f, dibe dibentuk ntuk variabel dummy dgn nilai $ dan %. &adi, inilah yang dimaksud dengan variabel dummy tersebut. 'ilai $ menunjukkan adanya, sedangkan nilai % menu me nunj njuk ukka kan n ti tidak dak ad adany anya a !i !iri ri ku kuali alita tas s ts tsb. b. i isa saln lnya ya va vari riabe abell je jeni nis s kelamin. &ika nilai $ digunakan untuk lakilaki maka nilai % menunjukkan bukan lakilaki (perempuan), atau sebaliknya. Dalam makalah ini kita akan mem/rediksikan /engaruh Uang saku2 -enis kelamin2 dan /enghasilan /enghasilan 7rang tua terhada/ terhada/ kemungkinan kemungkinan se7rang se7rang anak menaung dengan m7del regresi binary logistic >ariael terikat dumm. du mm.
B. Rmsa Rmsa Masala Masala 1. A/a itu itu m7del m7del regres regresii >ariael >ariael dumm dumm terika terikatB tB &. +agaimana +agaimana menganalisi menganalisiss kasus m7del m7del regresi regresi >ariael >ariael dumm dumm terikat terikat dengan dengan SPSSB
C. T2a 1. Mengetahui Mengetahui a/a a/a itu itu m7del m7del regresi regresi >ariael >ariael dumm dumm terikat terikat.. &. Da/at menganali menganalisis sis kasus kasus m7del m7del regresi regresi >ariael >ariael dumm dumm terikat terikat dengan dengan SPSS.
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BAB II EMBAHASAN A. Ka2ia TT-3ri Persamaan Persamaan regresi regresi aik sederhana sederhana mau/un erganda erganda ang telah di/ela-ari di/ela-ari /ada a6 a lalu2 hana han a menun-ukan huungan hu ungan antara >ariael numerik aik >ariael >a riael terikat mau/un >ari >ariae aell ea easn sna. a. Padah Padahal al untu untuk k meng mengung ungka/ ka/ka kan n suse suseat atu u *en7m *en7mena ena22 tida tidak k -ara -arang ng diutuhkan >ariael ukan numerik2 ang salah satuna adalah >ariael kateg7rik. Dalam m7del regresi2 >ariael kateg7rik ang erharga n7l atau satu ias diseut dengan >ariael dumm. Dalam a/likasina2 >ariael dumm ini sangat erman*aat untuk mengkuanti*ikasi data kualitati*2 se/erti : -enis kelamin2 status /erka8inan2 kualitas /r7duk2 ke/uasan /elaanan2 dan seagaina. Disam/ing itu2 >ariael dumm -uga erman*aat untuk malihat m7del regresi ang eruah arah mau/un ter-asina Cl7n5atan trend /ada kurun 8aktu ang ereda2 serta da/at -uga di/ergunakan untuk memuat m7del regresi ang linier seagian6seagian. =ariael dumm diseut -uga >ariael indi5at7r2 iner2 kateg7rik2 kualitati*2 7neka2 atau atau >aria >ariael el dik7t7 dik7t7mi mi.. Suatu Suatu /ersam /ersamaan aan regres regresii dahat dahat hana hana menggun menggunakan akan >aria >ariael el kateg7rik seagai >ariael eas teta/i da7at /ula disertai 7leh >ariael eas lain ang numeri numeri5. 5. ;egres ;egresii dengan dengan >aria >ariael el easn easnaa hana hana >riael >riael dumm dumm atau atau ang si*atn si*atna a kualitati* diseut m7del Analsis 7* =arian5e ANO=A%. Misalkan : seuah /erusahaan /ar*um ingin melakukan marketing resear5h2 untuk menget mengetahui ahui segmen segmen /asar /asar /ada /ada erag eragai ai ma5am ma5am -enis -enis /r7dukn /r7dukna. a. Segmen Segmen /asar /asar ang dimaksud diukur erdasarkan daerah tem/at tinggal res/7nden2 aitu k7ta atau desa2dan harga harga eragai eragai ma5am /r7duk. Atau Atau dengan kata lain2 akan dilihat dilihat huungan antara daerah tem/at tinggal res/7nden dengan harga ang di/ilih. Untuk ke/entingan terseu2 /erusahaan menga mengada daka kan n 7se 7ser> r>as asii di ee eera ra/a /a daera daerah h untu untuk k mengu mengum/ m/ul ulka kan n data data.. Setel Setelah ah data data terkum/ul2 maka digunakan m7del regresi untuk un tuk menghasilkan hasil /enilitian.
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angkatan ker-a seagai *ungsi rata6rata u/ah2 /enda/atan suami2 umur2 anakna anak usia sek7lah2 dan lain6lain. =ariael =ariael terikatna /artisi/asi angkatan ker-a 8anita. M7del ini -uga di/akai untuk menganalisis a/akah uruh/eker-a men-adi angg7ta dari serikat serikat /eker-a /eker-a atau tidak. tidak. =ariael =ariael terikatna terikatna eru/a keikutsert keikutsertaan aan sese7rang dalam suatu serikat. Selain Selain itu -uga -uga da/at da/at mengama mengamati ti huunga huungan n antara antara /ernah /ernah tidakn tidaknaa melaku melakukan kan /er-alanan luar negeri dan *akt7r nag mem/engaruhina se/erti /enda/atan2 -enis /eker-aan2 dll. =a =ariael terikatna /ernah tidakna melakukan /er-alanan keluar negeri. +iasan +iasanaa suatu suatu >aria >ariael el terika terikatt diasum diasumsik sikan an dengan dengan 1 dan # untuk untuk tidak. tidak. Dari Dari 57nt7h657nt7h diatas ada satu hal ang menarik aitu >ariael terikatna meru/akan suatu -a8aan @A @A atau TIDAK atau eru/a =a =ariael Dik7t7mi.
1. -m3 -m3!!-la la MaMa-ma mai iss Perhatikan kemali m7del regresi sederhana ang telah kita analsis:
Y i= β 1 + β 2 X i + ui
F
/enda/atan
@
F
1 ila ila sese sese7r 7ran ang g /ern /ernah ah mela melakuk kukan an /er/er-al alan anan an ke luar luar nege negeri ri # ila sese7rang tidak /ernah melakukan /er-alanan ke luar negeri.
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/er-alanan keluar negeri. Dengan dasar inilah m7del terseut diseut Model diseut Model Probabilitas Linier . ariael >ariael res/7n res/7n @2 ang meru/akan meru/akan /r7ailita /r7ailita ter-adina ter-adina sesuatu2 sesuatu2 mengikuti mengikuti Bernoulli Bernoulli probability distribution dimana:
Sumer: 85r.s7n7ma.edu Gamar diatas menun-ukkan ah8a garis dari ariael de/endent ang diskrit. Oleh karena itu2 karena
non-normality of the disturbance, heteroscedastis,
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nilaina diantara 1 dan #. dikarenakan mereka menggunakan O
Dikare Dikarenaka nakan n /ersam /ersamaan aan regres regresii linear linear tidak tidak da/at da/at memenuh memenuhii /ersa /ersarat ratan an nilai nilai /r7ailitas terseut2 di uatlah m7del l7git ang menggunakan /ersamaan eks/7nensial untuk menda/atkan nilai /r7ailitas /ada inter>al 1 dan #2 Dimana /ersamaan m7del <7git men-adi se/erti erikut:
Dimana i F L1 L&i. Persamaan diatas leih dikenal seagai logistic distribution function. function. Persaratan ang diminta seelumna2 aitu m7del /r7ailita ang menghasilkan @ antara inter>al satu sam/ sam/ai ai denga dengan n n7l denga dengan n huung huungan an antar antaraa Pt denga dengan n t ang ang tidak tidak line linear ar22 da/at da/at ter/enuhi. 'al ini diseakan2 saat erkisar antara 6 sam/ai dengan 2 Pi erkisar antara # dan 1 sehingga Pi tidak erhuungan linear dengan . Meski/un egitu masih terda/at masalah estimasi karena P tidak hana tidak linier /ada teta/i -uga ke L.
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Untuk menda/atkan nilai ) ang sudah linier maka kita /erlu melakukan treatment tamaha tamahan n setela setelah h melakuk melakukan an 7dd rati7 rati7 dimana dimana dengan dengan mengal mengalika ikan n /ersam /ersamaan aan diatas diatas dengan <7garitma Natural dengan tu-uan memuat /ersamaan men-adi linear2 sehingga entuk /ersamaan akan men-adi se/erti dia8ah ini:
<7garitma Natural atau ln dari odds ratio tidak hana ersi*at linear /ada teta/i -uga ersi*at linear terhada/ /arameter. Persamaan terseut ang kemudian dikenal seagai m7del l7git. Keleihan dari m7del l7git terseut adalah: •
Saat P er/indah dari # ke 12 l7git < akan er/indah dari 6 ke .Oleh karena itu2 meski/un /r7ailita terletak antara # hingga 12 l7git sendiri tidak teratasi. Dan meski < linear terhada/ 2 /r7ailitana sendiri tidak.
•
< l7git% ang ernilai /7siti* menandakan ah8a meningkatna nilai regres7r akan meneakan meningkatna 7dds dari regresan ang setara dengan 1. Sealikna2 < l7git% ang ernilai negati>e menandakan ah8a menurunna 7dds dari regresan ang setara dengan 1akan meneakan meningkatna nilai dari .
•
M7del M7del l7git l7git ang dieri dierikan kan /ada /ersam /ersamaan aan lima lima da/at da/at diinte diinter/r r/reta etasik sikan an seagai seagai erikut: sl7/e L& meru/akan /engukur /eruahan nilai < karena /eruahan nilai 2 sement sementara ara #ntercept L1 meru/akan nilai dari l7g67dds a/aila nilai suatu sl7/e n7l. <7git m7del -uga mengasumsi mengasumsikan kan ah8a l7g seuah odds rati ratio o erhuungan linier terhada/ i atau nilai seuah sl7/e.
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•
Miri/ dengan F dengan F test /ada test /ada m7del regresi linear adalah li$elihood ratio <;% statistik. <; statistik statistik mengikuti mengikuti ditriusi ditriusi & dengan dera-at keeasan keeasan %degree of freedom% freedom% sama dengan -umlah >ariael eas
•
Men5ari Odds ;ati7 dari setia/ >ariael inde/endent
•
Margina E**ek dari setia/ >ariael inde/endent
•
Men5ari /r7ailitas setia/ >ariael inde/endent terhada/ >ariael de/endentna .
*ujuan *ujuan
menggunakan
regresi regresi
berganda
dummy
adalah
memprediksi besarnya nilai variabel tergantung+dependent atas dasar satu atau lebih variabel bebas+independent, di mana satu atau lebih variab variabel el bebas bebas yang yang digunak digunakan an bersif bersifat at dummy dummy.. Variabe ariabell dummy dummy adalah variabel yang digunakan untuk membuat kategori data yang bersifat kualitatif (data kualitatif tidak memiliki satuan ukur), agar data kuali kualitat tatif if dapat dapat diguna digunaka kan n dalam dalam analis analisa a regr regresi esi maka maka harus harus lebih lebih dahulu di transformasikan ke dalam bentuk uantitatif. !ontoh data kualitatif misal jenis kelamin adalah lakilaki dan perempuan, harus di transform ke dalam bentuk akilaki - $ /erempuan - %. atau tingkat pendidikan misal 0A dan 0arjana, maka diubah menjadi 0A - % 0arjana - $, skala yang terdiri dari dua yakni % dan $ disebut kode 1inar 1inary, y, seda sedang ngka kan n Depe Depend nden entn tnya ya
pers persam amaan aan mode modell
uant uantit itat atif if
dan dan
yang yang ter terdiri diri dari dari Varia ariabe bell
varia ariabe bell
2nde 2ndepe pend nden entn tnya ya
skal skala a
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Misalk Misalkan an kita kita ingin ingin mem/red mem/rediks iksika ikan n /engaru /engaruh h Uang saku2 saku2 -enis -enis kelami kelamin2 n2 dan /enghasilan 7rang tua terhada/ kemungkinan se7rang anak menaung
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X 2={
0 perempuan perempuan 1 laki −laki
X 3={
0 pengha penghasila silan n orang orang tuakurang tuakurang dari dari 3000000 1 penghasilan penghasilan orangtua lebih dari 3000000
1. &a/ka &a/ka &a/ka Aalisi Aalisiss r-/r-si r-/r-si 'a 'aria-l ria-l !mm* ( 6arial- -rika) -rika) a. Input data ke dalam dalam SPSS SPSS
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&. Pada +aris +aris & k7l7m k7l7m =a =alues. +erika +erikan n 3#4 /ada >elue >elue untuk untuk lael 3/erem/uan4. Dan erikan 314 /ada >alue untuk lael 3laki6laki4
". Pada +aris +aris " k7l7m k7l7m =a =alues. +erika +erikan n 3#4 /ada >elue >elue untuk untuk lael 3/enghasilan 7rang tua kurang dari ".###.###4. Dan erikan 314 /ada >alue untuk lael 3Penghasilan 7rang tua leih dari atau sama dengan ".###.###4
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". #lik Analy$e Analy$e pili% pili% re&ressi'n kemudian klik binary binary l'&isti" l'&isti"
d. asukkan Y seba&ai variabel variabel dependen den&an den&an "ara klik Y di k'tak k'tak kiri, kemudian kemudian klik tanda tanda pana% di sampin& k'tak Dependent . asukkan X1, X dan X! ke dalam k'tak Covariates, den&an "ara klik masin&masin& variabel, kemudian klik tanda pana% di sampin& k'tak Covariates.
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e. #emudian klik +lassi"ati'n +lassi"ati'n pl'ts, -'smeremes%' -'smeremes%'w w &''dness'/t, &''dness'/t, +'rrelati'n '/ estimates, dan Iterati'n '/ -ist'ry. Selan0utnya klik +'ntinue.
/. Sela Selan0 n0ut utny nya a klik klik *#. *#. Sehingga menghasilkan 7ut/ut seagai erikut :
. I-r I-r7r 7r- -as asii 37 37 SSS SSS a. Identika Identikasi si Data Data yan& yan& %ilan& %ilan& Case Processing Summary Unweighted Casesa
N
Percent
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Tael Tael diatas menun-ukkan k7de >ariael >ariael terikat2 ang dalam hal ini adalah # untuk sis8a sis8a tidak suka menaung dan 1 untuk sis8a suka menaung.
". 0i si&ni si&nikansi kansi 'mnib 'mnibus us ter%adap ter%adap m'del m'del Omnibus Tests Tests of Model Coefficients Chi&s'uare Ste( 1
df
Sig.
Ste(
1).10*
+
.00+
,loc%
1).10*
+
.00+
Model
1).10*
+
.00+
T el el diat diat
ka
nila nilaii Chi Chi &'u
&% &% dari dari
del
i.
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+agel$er$e " &'uare meru/akan &'uare meru/akan m7di*ikasi dari k7e*isien Co) * &nell " &'uare &'uare untuk memastikan ah8a nilaina er>ariasi dari # sam/ai 1. Kisaran nilai +agel$er$e nilai +agel$er$e " &'uare adalah # hingga 1. Semakin nilai +agel$er$e nilai +agel$er$e " &'uare mendekati angka 12 maka semakin kuat >ariael eas mem/rediksi >ariael terikat. 'al ini dilakukan dengan 5ara memagi nilai nilai Co) * &nell " &'uare dengan nilai maksimumna. maksimumna. Oleh karena itu2 nilai +agel$er$e nilai +agel$er$e " &'uare da/at & diinter/retasikan se/erti nilai ; /ada /ada multiple regression. regression. Dilihat Dilihat dari 7ut/ut SPSS2 nilai +agel$er$e " &'uare adalah #2,. Ini erarti >ariailit >ariailitas as >ariael >ariael de/enden ang da/at di-elaskan 7leh >ariailitas >ariael inde/enden seesar ,2 R. 'i/7tesis untuk menilai m7del fit m7del fit adalah: '# F M7del ang dihi/7tesakan fit dihi/7tesakan fit dengan dengan data.
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e. en&u0i en&u0i #'esie #'esien n 2e&resi 2e&resi Variables in the E!uation , Ste( 1a
S.3.
7ald
df
Sig.
3(8,9
:1
.001
.000
).15*
1
.0)1
1.001
:2
&).)5
2.25+
+.4*4
1
.0)*
.011
:+
&).)
2.+44
+.41)
1
.0)5
.004
&.51
1.
.211
1
.*)*
.))+
Constant
a. $aria!le8s9 $aria!le8s9 entered on ste( 1; :1 :2 :+.
Tael Tael terseut terseut memeri memerikan kan estima estimasi si k7e*isi k7e*isien en m7del m7del dan /engu-ian /engu-ian hi/7te hi/7tesis sis /arsia /arsiall dari dari k7e*isi k7e*isien en m7del. m7del. ;egres ;egresii l7gist l7gistik ik menghas menghasilk ilkan an rasi7 rasi7 /eluang odds ratios% ratios% terkait dengan nilai setia/ /redikt7r. Peluang odds odds%% dari
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/enda/atan 7rang tua mereka sama. Artina laki6laki memiliki /eluang leih tinggi memiliki /rilaku suka menaung dari/ada /erem/uan. Nilai E/+% >ariael inde/enden /enda/atan 7rang tua seesar #2##?2 maka /eluang sis8a sis8a ang memiliki memiliki /enda/atan /enda/atan 7rang tua leih dari atau sama sama dengan " -uta memiliki memiliki /rilaku /rilaku suka menaung menaung seesar seesar #2##?. Da/at diartika diartikan n ah8a /eluang sis8a ang memiliki /enda/atan 7rang tua leih dari atau sama deng dengan an " -uta -uta memi memili liki ki /ril /rilak aku u suka suka mena enaun ung g adal adalah ah #2## #2##? ? kali kali -ika -ika diandingkan sis8a ang /enda/atan 7rang tuana kurang dari " -uta2 -ika uang saku dan -enis kelamin sama. Untuk mengu-i *akt7r mana ang er/engaruh nata sis8a ang memiliki /rilaku suka menaung terseut2 da/at menggunakan u-i signi*ikansi dari /arameter k7e*isien k7 e*isien se5ara /arsial dengan statistik u-i 0a 0ald2 ld2 ang seru/a dengan
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( − )= p
1 p
e
9,185
9,185
p= p=
e e
9,185
+1
9749,78 =0,99989744 =99,98 9750,78
Karena menghasilkan menghasilkan /r7ailitas /r7ailitas
99,98
maka da/at disim/ulkan ah8a
sis8a ang er -enis kelamin /erem/uan2 /enda/atan 7rang tua kurang dari " -uta dan uang saku sis8a 1#.### maka sis8a meliliki /eluang seesar 99,98
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ln
( )
p =−0,815 +0,001 (5.000 )− 4,548 (1 ) −4,747 (0 ) 1− p
( )
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sama dengan " -uta dan uang saku sis8a 1.### maka sis8a memiliki /eluang seesar 99,25 untuk memiliki /rilaku suka menaung
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&9. &?. "#. "1. "&
1 # # 1 1
$ $" $& ,
# 1 # 1 1
1 # # 1 1
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