Sabtu, 22 Juli 2017
Pertemuan 12
Analisis Regresi
Pertemuan 12 halaman 188-191
Nama : Wiwi ulfairah sutarno
NIM : 20160302073
Sesi : 10
HALAMAN 188
ANOVAb
| ||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| |
1
|
Regression
|
1161.665
|
3
|
387.222
|
9.771E3
|
.000a
|
Residual
|
2.735
|
69
|
.040
| |||
Total
|
1164.399
|
72
| ||||
a. Predictors: (Constant), interaksiBBdanTB, tinggi badan, berat badan
| ||||||
b. Dependent Variable: indeks masa tubuh
| ||||||
Coefficientsa
| ||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| ||
B
|
Std. Error
|
Beta
| ||||
1
|
(Constant)
|
13.472
|
1.485
|
9.071
|
.000
| |
berat badan
|
1.046
|
.049
|
2.752
|
21.260
|
.000
| |
tinggi badan
|
-.092
|
.010
|
-.180
|
-8.893
|
.000
| |
InteraksiBBdanTB
|
-.004
|
.000
|
-1.690
|
-11.865
|
.000
| |
a. Dependent Variable: indeks masa tubuh
| ||||||
Y = β0+ β1X1 +β2X2 +β3X3
IMT = 13.472 + 1.046 BB -.092 TB -0.004 interaksi BB dan TB
Hipotesa intersep dan slop = Setiap kenaikan BB akan mempengaruhi nillai IMT nsmun interaksi ke duanya BB dan TB tidak mempengaruhi nilai IMT.
ANOVAb
| ||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| |
1
|
Regression
|
75.863
|
3
|
25.288
|
1.603
|
.197a
|
Residual
|
1088.537
|
69
|
15.776
| |||
Total
|
1164.399
|
72
| ||||
a. Predictors: (Constant), interaksi jenis kelamin dan umur, umur, jenis kelamin
| ||||||
b. Dependent Variable: indeks massa tubuh
| ||||||
Coefficientsa
| ||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| ||
B
|
Std. Error
|
Beta
| ||||
1
|
(Constant)
|
-25.817
|
45.760
|
-.564
|
.574
| |
jenis kelamin
|
33.589
|
24.833
|
3.859
|
1.353
|
.181
| |
Umur
|
3.973
|
4.196
|
.508
|
.947
|
.347
| |
interaksi jenis kelamin dan umur
|
-3.075
|
2.283
|
-3.778
|
-1.347
|
.182
| |
a. Dependent Variable: indeks massa tubuh
| ||||||
Y = β0+ β1X1 +β2X2 +β3X3
IMT = -25.817 + 33.589 JK + 3.973 umur -3.075 interaksi jenis kelamin dan umur
Hipotesa intersep dan slop = Setiap kenaikan umur dan jenis kelamin mempengaruhi nilai IMT namun interaksi keduanya tidak mempengaruhi nilai IMT .
ANOVAb
| ||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| |||||||
1
|
Regression
|
1383.154
|
3
|
461.051
|
7.959
|
.000a
| ||||||
Residual
|
3997.093
|
69
|
57.929
| |||||||||
Total
|
5380.247
|
72
| ||||||||||
a. Predictors: (Constant), interaksi, umur, jumlah air dalam makanan
| ||||||||||||
b. Dependent Variable: berat jenis
| ||||||||||||
Coefficientsa
| ||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| ||||||||
B
|
Std. Error
|
Beta
| ||||||||||
1
|
(Constant)
|
980.543
|
65.228
|
15.033
|
.000
| |||||||
jumlah air dalam makanan
|
.138
|
.124
|
2.840
|
1.116
|
.268
| |||||||
Umur
|
4.716
|
6.053
|
.281
|
.779
|
.439
| |||||||
Interaksi
|
-.015
|
.011
|
-3.333
|
-1.298
|
.199
| |||||||
a. Dependent Variable: berat jenis
| ||||||||||||
Y = β0+ β1X1 +β2X2 +β3X3
IMT = -980.543 + 0.138 AMA + 4.716 umur - 0.015 interaksi AMA dan umur
Hipotesa intersep dan slop = Setiap kenaikan jumlah air dalam makanan dan umur mempengaruhi berat jenis urin namun interaksi keduanya tidak mempengaruhi berat jenis urin .
HALAMAN 191
Variabel
|
β
|
Sβ
|
Partial F
|
Umur
|
1.02892
|
0.50177
|
4.2049
|
IMT
|
10.45104
|
9.13113
|
1.310
|
RKK
|
-0.53744
|
23.23004
|
0.000535
|
Umur*RKK
|
0.43733
|
0.71320
|
0.376
|
IMT*RKK
|
-3.70682
|
10.76763
|
0.1185
|
Intersep
|
48.61271
|
-
|
-
|
Model regresi :
Y = 48.61271 + 1.02892 + 0.50177 UMUR
Y = 48.61271 + 10.45104 + 9.131 IMT
Y = 48.61271 – 0.53744 + 23.23004 RKK
Y = 48.61271 + 0.43733 + 0.7132 UMUR*RKK
Y = 48.61271 – 3.70682 + 10.76763 IMT*RKK
Y = 48.61271 + β1X1 + β2X2 + β3X3 +β4X4 +β5X5
= 48.61271 + 1.02892 U + 10.45104 IMT – 0.53744 RKK + 0.43733 U*RKK – 3.70682 IMT*RKK
PERTEMUAN 11 HALAMAN 187
ANALISIS REGRESI
PERTEMUAN 11 HALAMAN 187
Soal Latihan 1.
Pelajari data yang disajikan dibawah ini tentang pengaruh umur serta pemberian makanan tinggi protein dan rendah protein terhadap panjang badan.
Tinggi Protein
|
Rendah Protein
| ||
Umur (bln)
|
Panjang ( cm)
|
Umur (bln)
|
Panjang ( cm)
|
2
|
50
|
4
|
52
|
5
|
54,3
|
7
|
55
|
8
|
63
|
10
|
61
|
10
|
66
|
10
|
63,4
|
10
|
69
|
15
|
66
|
14
|
73
|
20
|
68,5
|
18
|
82
|
20
|
67,9
|
20
|
83
|
24
|
72
|
20
|
80,3
|
28
|
78
|
25
|
85
|
30
|
74
|
25
|
84
|
13
|
65
|
30
|
86
|
18
|
69
|
27
|
85
|
20
|
74
|
a. Tentukan persamaan garis untuk kelompok tinggi protein dan rendah protein secara terpisah
b. Tentukan satu persamaan garis dengan memasukkan semua independen variabel
c. Buktikan bahwa jenis makanan sangat berpengaruh terhadap panjang badan
d. Bila umur dikelompokkan menjadi 2 kelompok yaitu <20 dan > 20 bulan, lakukan uji regresi untuk membuktikan jenis makanan dan umur berpengaruh terhadap panjang badan (ingat ada interaksi!).
JAWAB
A. PERSAMAAN GARIS
Ø Kelompok tinggi protein
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
Umur (bln)a
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.954a
|
.911
|
.903
|
3.8651
| |||||||||||||||
a. Predictors: (Constant), Umur (bln)
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
1681.302
|
1
|
1681.302
|
112.546
|
.000a
| |||||||||||||
Residual
|
164.327
|
11
|
14.939
| ||||||||||||||||
Total
|
1845.629
|
12
| |||||||||||||||||
a. Predictors: (Constant), Umur (bln)
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
52.211
|
2.308
|
22.624
|
.000
| ||||||||||||||
Umur (bln)
|
1.317
|
.124
|
.954
|
10.609
|
.000
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Persamaan garis kelompok tinggi protein:
Y = β0 + β1X1
Y = β0 + β1 Umur => Panjang Badan = 52,211 + 1, 317 Umur
Ø Kelompok rendah protein
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
Umur (bln)a
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.940a
|
.883
|
.872
|
2.6769
| |||||||||||||||
a. Predictors: (Constant), Umur (bln)
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
593.115
|
1
|
593.115
|
82.769
|
.000a
| |||||||||||||
Residual
|
78.825
|
11
|
7.166
| ||||||||||||||||
Total
|
671.940
|
12
| |||||||||||||||||
a. Predictors: (Constant), Umur (bln)
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
51.656
|
1.803
|
28.656
|
.000
| ||||||||||||||
Umur (bln)
|
.887
|
.098
|
.940
|
9.098
|
.000
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Persamaan garis kelompok rendah protein:
Y = β0 + β1X1
Y = β0 + β1 Umur => Panjang Badan = 51,656 + 0,887 Umur
B. PERSAMAAN GARIS SEMUA INDEPENDEN VARIABEL
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
Jenis Protein, Umur (bl)a
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.942a
|
.888
|
.878
|
3.7390
| |||||||||||||||
a. Predictors: (Constant), Jenis Protein, Umur (bl)
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
2541.687
|
2
|
1270.844
|
90.905
|
.000a
| |||||||||||||
Residual
|
321.538
|
23
|
13.980
| ||||||||||||||||
Total
|
2863.225
|
25
| |||||||||||||||||
a. Predictors: (Constant), Jenis Protein, Umur (bl)
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
47.581
|
1.838
|
25.888
|
.000
| ||||||||||||||
Umur (bl)
|
1.129
|
.090
|
.876
|
12.533
|
.000
| ||||||||||||||
Jenis Protein
|
7.727
|
1.467
|
.368
|
5.267
|
.000
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Persamaan garis kelompok tinggi protein:
Y = β0 + β1X1
Y = β0 + β1 Umur + β2 Jenis Protein
Panjang Badan = 47,581 + 1, 129 Umur + 7,727 Jenis Protein
C. BUKTIKAN JENIS MAKANAN SANGAT BERPENGARUH TERHADAP PANJANG BADAN
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
Jenis Proteina
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.347a
|
.121
|
.084
|
10.2420
| |||||||||||||||
a. Predictors: (Constant), Jenis Protein
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
345.655
|
1
|
345.655
|
3.295
|
.082a
| |||||||||||||
Residual
|
2517.569
|
24
|
104.899
| ||||||||||||||||
Total
|
2863.225
|
25
| |||||||||||||||||
a. Predictors: (Constant), Jenis Protein
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
66.600
|
2.841
|
23.446
|
.000
| ||||||||||||||
Jenis Protein
|
7.292
|
4.017
|
.347
|
1.815
|
.082
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Kesimpulan: Fhitung = 3,295 < Ftabel = 4,26 maka Ho diterima artinya bahwa jenis makanan (jenis protein) sangat tidak berpengaruh terhadap panjang badan.
Ø Sebelum Interaksi
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
Jenis Protein, UmurKategoria
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.778a
|
.606
|
.572
|
7.0040
| |||||||||||||||
a. Predictors: (Constant), Jenis Protein, UmurKategori
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
1734.927
|
2
|
867.464
|
17.683
|
.000a
| |||||||||||||
Residual
|
1128.297
|
23
|
49.056
| ||||||||||||||||
Total
|
2863.225
|
25
| |||||||||||||||||
a. Predictors: (Constant), Jenis Protein, UmurKategori
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
59.832
|
2.322
|
25.770
|
.000
| ||||||||||||||
Jenis Protein
|
7.292
|
2.747
|
.347
|
2.654
|
.014
| ||||||||||||||
Umur Kategori
|
14.663
|
2.755
|
.697
|
5.322
|
.000
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Kesimpulan: Fhitung = 17,683 > Ftabel = 3,42 maka Ho ditolak artinya bahwa jenis makanan (jenis protein) dan umur (berdasarkan kategori) sangat berpengaruh terhadap panjang badan.
Ø Setelah Interaksi
Variables Entered/Removedb
| |||||||||||||||||||
Model
|
Variables Entered
|
Variables Removed
|
Method
| ||||||||||||||||
1
|
UmurKategori*Jenis Protein, Jenis Protein, Umur Kategoria
|
.
|
Enter
| ||||||||||||||||
a. All requested variables entered.
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Model Summary
| |||||||||||||||||||
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the Estimate
| |||||||||||||||
1
|
.800a
|
.640
|
.591
|
6.8438
| |||||||||||||||
a. Predictors: (Constant), UmurKategori*Jenis Protein, Jenis Protein, Umur Kategori
| |||||||||||||||||||
ANOVAb
| |||||||||||||||||||
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
| ||||||||||||||
1
|
Regression
|
1832.788
|
3
|
610.929
|
13.043
|
.000a
| |||||||||||||
Residual
|
1030.437
|
22
|
46.838
| ||||||||||||||||
Total
|
2863.225
|
25
| |||||||||||||||||
a. Predictors: (Constant), UmurKategori*Jenis Protein, Jenis Protein, Umur Kategori
| |||||||||||||||||||
b. Dependent Variable: Panjang (cm)
| |||||||||||||||||||
Coefficientsa
| |||||||||||||||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
| |||||||||||||||
B
|
Std. Error
|
Beta
| |||||||||||||||||
1
|
(Constant)
|
61.629
|
2.587
|
23.825
|
.000
| ||||||||||||||
Jenis Protein
|
3.700
|
3.658
|
.176
|
1.011
|
.323
| ||||||||||||||
Umur Kategori
|
10.771
|
3.808
|
.512
|
2.829
|
.010
| ||||||||||||||
UmurKategori*Jenis Protein
|
7.783
|
5.385
|
.312
|
1.445
|
.162
| ||||||||||||||
a. Dependent Variable: Panjang (cm)
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Kesimpulan:
Fhitung = 13,043 > Ftabel = 3,05 maka Ho ditolak artinya bahwa jenis makanan (jenis protein) dan umur (berdasarkan kategori) serta interaksi jenis protein*umur kategori sangat berpengaruh terhadap panjang badan.
Langganan:
Postingan (Atom)