Latihan
1
Tentang pengaruh umur serta pemberian makanan tinggi
protein dan rendah protein terhadap panjang badan :
Tinggi Protein
|
Rendah Protein
|
||
Umur (bl)
|
Panjang (cm)
|
Umurc(bl)
|
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.Persamaan garis untuk kelompok tinggi protein dan
rendah protein
·
Tinggi
protein
[DataSet0]
Variables
Entered/Removedb
|
|||
Model
|
Variables
Entered
|
Variables
Removed
|
Method
|
1
|
Tinggi protein Umura
|
.
|
Enter
|
a. All requested variables entered.
|
|
||
b. Dependent Variable: Tinggi protein
Panjang
|
Model Summary
|
||||
Model
|
R
|
R Square
|
Adjusted R
Square
|
Std. Error of
the Estimate
|
1
|
.954a
|
.911
|
.903
|
3.8651
|
a. Predictors: (Constant), Tinggi
protein Umur
|
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), Tinggi protein
Umur
|
||||||
b. Dependent Variable: Tinggi protein
Panjang
|
Coefficientsa
|
||||||
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
t
|
Sig.
|
||
B
|
Std. Error
|
Beta
|
||||
1
|
(Constant)
|
52.211
|
2.308
|
|
22.624
|
.000
|
Tinggi protein Umur
|
1.317
|
.124
|
.954
|
10.609
|
.000
|
|
a. Dependent Variable: Tinggi protein
Panjang
|
|
|
|
Persamaan
garis kelompok tinggi protein:
Y
= β0 + β1X1
Y
= β0 + β1 Umur => Panjang Badan = 52,211 + 1, 317
Umur
· Rendah Protein
[DataSet0]
Variables
Entered/Removedb
|
|||
Model
|
Variables
Entered
|
Variables
Removed
|
Method
|
1
|
Rendah protein umura
|
.
|
Enter
|
a. All requested variables entered.
|
|
||
b. Dependent Variable: Rendah Protein
Panjang
|
Model
Summary
|
||||
Model
|
R
|
R Square
|
Adjusted
R Square
|
Std.
Error of the Estimate
|
1
|
.940a
|
.883
|
.872
|
2.6769
|
a. Predictors: (Constant), Rendah protein umur
|
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), Rendah
protein umur
|
|
|
||||
b. Dependent Variable: Rendah Protein
Panjang
|
|
|
Coefficientsa
|
||||||
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
|
||
B
|
Std. Error
|
Beta
|
||||
1
|
(Constant)
|
51.656
|
1.803
|
|
28.656
|
.000
|
Rendah protein umur
|
.887
|
.098
|
.940
|
9.098
|
.000
|
|
a. Dependent Variable: Rendah Protein
Panjang
|
|
|
|
Persamaan
garis kelompok rendah protein:
Y
= β0 + β1X1
Y
= β0 + β1 Umur => Panjang Badan = 51,656 + 0,887
Umur
B.
persamaan garis dengan memasukkan Semua independen variabel
Variables
Entered/Removedb
|
|||
Model
|
Variables
Entered
|
Variables
Removed
|
Method
|
1
|
Jenis protein, Umura
|
.
|
Enter
|
a. All requested variables entered.
|
|
||
b. Dependent Variable: Panjang
|
|
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
|
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
|
|
|
||||
b. Dependent Variable: Panjang
|
|
|
|
|
Coefficientsa
|
||||||
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
t
|
Sig.
|
||
B
|
Std. Error
|
Beta
|
||||
1
|
(Constant)
|
47.581
|
1.838
|
|
25.888
|
.000
|
Umur
|
1.129
|
.090
|
.876
|
12.533
|
.000
|
|
Jenis protein
|
7.727
|
1.467
|
.368
|
5.267
|
.000
|
|
a. Dependent Variable: Panjang
|
|
|
|
|
Y
= β0 + β1X1
Y
= β0 + β1 Umur + β2 Jenis Protein
Y= 47.581 + 1.129 umur + 7.727 jenis protein
C.
Bukti Bahwa 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
|
|
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
|
|
|
|
|
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
|
|
|
|
|
F hitung =
3.295 < F tabel 4.26 maka Ho diterima artinya bahwa jenis makanan
(jenis protein) sangat tidak berpengaruh terhadap panjang badan.
D. Uji regresi membuktikan jenis makanan dan umur berpengaruh
terhadap panjang badan
Sebelum Interaksi
Variables
Entered/Removedb
|
|||
Model
|
Variables
Entered
|
Variables
Removed
|
Method
|
1
|
Jenis protein, Umura
|
.
|
Enter
|
a. All requested variables entered.
|
|
||
b. Dependent Variable: Panjang
|
|
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, Umur
|
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, Umur
|
|
|
||||
b. Dependent Variable: Panjang
|
|
|
|
|
Coefficientsa
|
||||||
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
t
|
Sig.
|
||
B
|
Std. Error
|
Beta
|
||||
1
|
(Constant)
|
59.832
|
2.322
|
|
25.770
|
.000
|
Umur
|
14.663
|
2.755
|
.697
|
5.322
|
.000
|
|
Jenis protein
|
7.292
|
2.747
|
.347
|
2.654
|
.014
|
|
a. Dependent Variable: Panjang
|
|
|
|
|
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.
Setelah Interaksi
Variables
Entered/Removedb
|
|||
Model
|
Variables
Entered
|
Variables
Removed
|
Method
|
1
|
Interaksi jenis makanan dan umur,
Jenis Protein, Umur kategorika
|
.
|
Enter
|
a. All requested variables entered.
|
|
||
b. Dependent Variable: Panjang
|
|
Model Summary
|
||||
Model
|
R
|
R Square
|
Adjusted R
Square
|
Std. Error of
the Estimate
|
1
|
.800a
|
.640
|
.591
|
6.8438
|
a. Predictors: (Constant), Interaksi
jenis makanan dan umur, Jenis Protein, Umur kategorik
|
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), Interaksi
jenis makanan dan umur, Jenis Protein, Umur kategorik
|
||||||
b. Dependent Variable: Panjang
|
|
|
|
|
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
kategorik
|
10.771
|
3.808
|
.512
|
2.829
|
.010
|
|
Interaksi
jenis makanan dan umur
|
7.783
|
5.385
|
.312
|
1.445
|
.162
|
|
a. Dependent Variable: Panjang
|
|
|
|
|
F
hitung=13,043 > F tabel 3,05 maka Ho ditolak artinya bahwa jenis makanan (jenis protein) dan umur (berdasarkan
kategori) serta interaksi jenis protein*umur kategori berpengaruh
terhadap panjang badan.
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