Wednesday, December 7, 2016

tugas analisis regresi pertemuan 10

Halaman 187
SOAL 1
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



Y= 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



Y= 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= 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 menerima hipotesa 0 artinya kita menyatakan bahwa jenis makanan tidak mempengaruhi panjang badan.


D. Uji regresi membuktikan jenis makanan dan umur berpengaruh terhadap panjang badan
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.

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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