regresi ganda (linear)
TRANSCRIPT
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REGRESI GANDA (LINEAR)
Prof. Dr. Maruf Akbar
PROGRAM PASCASARJANAUNIVERSITAS NEGERI JAKARTA
200
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PENGANTAR
! P"#"$%&%a# &"#&a#' "r%$aku a#u*%a *"r%#'ka$% b"rka%&a# +"#'a# ,ar%ab%$%&a*
-a#' a+a +%a#&ara %#+%,%+ua$ a&au k"$ook a+a kuru# /ak&u +a# &"a&
&"r&"#&u
! "#o"#a ,ar%ab%$%&a* %#% "#1a+% "ra&%a# "#"$%&% u#&uk "#3ar% "#1"$a*a#
&"or"&%k +a# "%r%*
Var%ab%$%&a*
(T" ,ar%ab%$%&- of a +%*&r%bu&%o# a* &" aou#& of *r"a+ of &" *3or" arou#+ &"
"a#)
VARIABEL
X Y
Var%ab%$%&a* Var%ab%$%&a*
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REGRESI GANDA DENGAN TIGA VARIA4EL PREDIKTOR
ANALISIS REGRESI GANDA
Teknik statistik yang digunakan untuk analisis hubungan (relationship) antara
satu variabel dependen dan seu!lah variabel independen
Tuuan teknik regresi adalah untuk investigasi relationship antara satu
variabel dependent dengan seu!lah variabel independen
("Regression analysis reveal relationships a!ong variables but not i!ply the
relationships are #ausal)
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PERSAMAAN REGRESI GANDA (5 VARIA4EL PREDIKTOR)
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MENG6ITUNG KOEISIEN REGRESI GANDA
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PER6ITUNGAN
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CONTO6
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PERSAMAAN
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6ASIL PER6ITUNGAN
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PERSAMAAN REGRESI (UNTUK SAMPEL)
KOEISIEN KORELASI GANDA
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KOEISIEN KORELASI
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LANJUTAN
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RUMUSAN 6IPOTESIS STATISTIK
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MULTIPLE REGRESSION
$ER%IT&'A' A'&AL
Y * +o , +- X- , +. X. , +/ X/ , 0
Y * bo , b- X- , b. X. , b/ X/ , e
$ersa!aan
Y * bo , b- X-
Y * bo , b. X.
Y * b1 , b/ X/
Y * bo , b- X- , b. X. , b/ X/
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Ruu*!ruu* -a#' +%'u#aka#
7. 6%&u#' #%$a% 8
2. 6%&u#' Ko"f%*%"#8
5. M"#"&aka# "r*aaa# R"'r"*% L%#"ar (*"+"ra#a)
Y * bo , b X
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LANJUTAN
9. M"#'%&u#' Sub"r Var%a*%
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LANJUTAN
&i signi2ikansi
$ersa!aan Regresi
sederhana
U1% L%#"ar%&a*
P"r*aaa# R"'r"*%
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LANJUTAN
:. M"#'%&u#' Ko"f%*%"# Kor"$a*%
;. U1% S%'#%f%ka#*% Ko"f%*"%# Kor"$a*%
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LANJUTAN
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U1% S%'#%f%ka#*% Ko"f%*%"# Kor"$a*% Par*%a$
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UJI SIGNIIKANSI KOEISIEN KORELASI PARSIL
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LANJUTAN
<. M"#"#&uka# P"r*aaa# R"'r"*% Ga#+a (L%#"ar)
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LANJUTANCONTO6
B
1475.92
208.59
422.75
208.59
4730.58
677.42
422.75
677.42
4681.92
:=
B 1−
6.978 10 4−×
2.221− 10 5−×
5.98− 10 5−
×
2.221− 10 5−×
2.166 10 4−×
2.933− 10 5−
×
5.98− 10 5−×
2.933− 10 5−×
2.232 10 4−
×
=
A
1629.45
2241.12
1755.22
:=
B 1−
A⋅
0.982
0.398
0.229
=
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LANJUTAN
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U1% S%'#%f%ka#*% R"'r"*% Ga#+a
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KOEISIEN KORELASI GANDA
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DATA TUGAS
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MATERI 4ERIKUT