Lakukan
prediksi CHOL dengan variabel independen TB, UM dan UM kuadrat.
a.
Hitung
SS for Regression (X3 | X1, X2)
b.
Hitung
SS for Residual
c.
Hitung
Means SS for Regression (X3 | X1, X2)
d.
Hitung
Means SS for Residual
e.
Hitung
nilai F parsial
f.
Hitung
nilai r2
g.
Buktikan
bahwa penambahan X3 berperan dalam meprediksi Y.
|
BB
|
TB
|
BTL
|
AK
|
|
79,2
|
149
|
54,1
|
2670
|
|
64
|
152
|
44,3
|
820
|
|
67
|
155,7
|
47,8
|
1210
|
|
78,4
|
159
|
53,9
|
2678
|
|
66
|
163,3
|
47,5
|
1205
|
|
63
|
166
|
43
|
815
|
|
65,9
|
169
|
47,1
|
1200
|
|
63,1
|
172
|
44
|
1180
|
|
73,2
|
174,5
|
44,1
|
1850
|
|
66,5
|
176,1
|
48,3
|
1260
|
|
61,9
|
176,5
|
43,5
|
1170
|
|
72,5
|
179
|
43,3
|
1852
|
|
101,1
|
182
|
66,4
|
1790
|
|
66,2
|
170,4
|
47,5
|
1250
|
|
99,9
|
184,9
|
66
|
1889
|
|
63
|
169
|
44
|
915
|
|
1150,9
|
2698,4
|
784,8
|
23754
|
Model 1 : BB = β0 + β1 TB
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.378a
|
.143
|
.081
|
11.8405
|
|
a. Predictors: (Constant), Tinggi Badan
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
326.204
|
1
|
326.204
|
2.327
|
.149a
|
|
Residual
|
1962.751
|
14
|
140.196
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Tinggi Badan
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
|
|||
|
B
|
Std. Error
|
Beta
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
-2.492
|
48.880
|
|
-.051
|
.960
|
|
Tinggi Badan
|
.441
|
.289
|
.378
|
1.525
|
.149
|
|
|
a. Dependent Variable: Berat Badan
|
||||||
Model 2 : BB = β0 + β1 BTL
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.945a
|
.893
|
.886
|
4.1735
|
|
a. Predictors: (Constant), Berat Badan
Tanpa Lemak
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
2045.099
|
1
|
2045.099
|
117.411
|
.000a
|
|
Residual
|
243.855
|
14
|
17.418
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Berat Badan
Tanpa Lemak
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
||
|
B
|
Std. Error
|
Beta
|
||
|
1
|
(Constant)
|
-4.303
|
7.112
|
|
|
Berat Badan Tanpa Lemak
|
1.554
|
.143
|
.945
|
|
|
a. Dependent Variable: Berat Badan
|
||||
|
Coefficientsa
|
|||
|
Model
|
|
||
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
-.605
|
.555
|
|
Berat Badan Tanpa Lemak
|
10.836
|
.000
|
|
|
a. Dependent Variable: Berat Badan
|
|||
Model 3 : BB = β0 + β1 AK
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.617a
|
.381
|
.337
|
10.0593
|
|
a. Predictors: (Constant), Asupan Kalori
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
872.301
|
1
|
872.301
|
8.620
|
.011a
|
|
Residual
|
1416.653
|
14
|
101.190
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Asupan Kalori
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
|
|||
|
B
|
Std. Error
|
Beta
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
52.517
|
7.074
|
|
7.423
|
.000
|
|
Asupan Kalori
|
.013
|
.004
|
.617
|
2.936
|
.011
|
|
|
a. Dependent Variable: Berat Badan
|
||||||
Model 4 : BB = β0 + β1 TB + β2
BTL
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.954a
|
.910
|
.896
|
3.9870
|
|
a. Predictors: (Constant), Berat Badan
Tanpa Lemak, Tinggi Badan
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
2082.309
|
2
|
1041.154
|
65.499
|
.000a
|
|
Residual
|
206.645
|
13
|
15.896
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Berat Badan
Tanpa Lemak, Tinggi Badan
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
||
|
B
|
Std. Error
|
Beta
|
||
|
1
|
(Constant)
|
-27.527
|
16.631
|
|
|
Tinggi Badan
|
.155
|
.101
|
.132
|
|
|
Berat Badan Tanpa Lemak
|
1.496
|
.142
|
.910
|
|
|
a. Dependent Variable: Berat Badan
|
||||
|
Coefficientsa
|
|||
|
Model
|
|
||
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
-1.655
|
.122
|
|
Tinggi Badan
|
1.530
|
.150
|
|
|
Berat Badan Tanpa Lemak
|
10.511
|
.000
|
|
|
a. Dependent Variable: Berat Badan
|
|||
Model 5 : BB = β0 + β1 TB + β2
AK
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.747a
|
.557
|
.489
|
8.8280
|
|
a. Predictors: (Constant), Asupan Kalori,
Tinggi Badan
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
1275.821
|
2
|
637.911
|
8.185
|
.005a
|
|
Residual
|
1013.133
|
13
|
77.933
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Asupan Kalori,
Tinggi Badan
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
|
|||
|
B
|
Std. Error
|
Beta
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
-31.333
|
37.369
|
|
-.838
|
.417
|
|
Tinggi Badan
|
.492
|
.216
|
.421
|
2.275
|
.040
|
|
|
Asupan Kalori
|
.014
|
.004
|
.646
|
3.491
|
.004
|
|
|
a. Dependent Variable: Berat Badan
|
||||||
Model 6 : BB = β0 + β1 TB + β2
BTL + β3 AK
|
Model Summary
|
||||
|
Model
|
R
|
R Square
|
Adjusted R Square
|
Std. Error of the
Estimate
|
|
1
|
.969a
|
.939
|
.923
|
3.4224
|
|
a. Predictors: (Constant), Asupan Kalori,
Tinggi Badan, Berat Badan Tanpa Lemak
|
||||
|
ANOVAb
|
||||||
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
|
1
|
Regression
|
2148.400
|
3
|
716.133
|
61.141
|
.000a
|
|
Residual
|
140.554
|
12
|
11.713
|
|
|
|
|
Total
|
2288.954
|
15
|
|
|
|
|
|
a. Predictors: (Constant), Asupan Kalori,
Tinggi Badan, Berat Badan Tanpa Lemak
|
||||||
|
b. Dependent Variable: Berat Badan
|
||||||
|
Coefficientsa
|
||||
|
Model
|
Unstandardized
Coefficients
|
Standardized
Coefficients
|
||
|
B
|
Std. Error
|
Beta
|
||
|
1
|
(Constant)
|
-33.412
|
14.489
|
|
|
Tinggi Badan
|
.210
|
.090
|
.180
|
|
|
Berat Badan Tanpa Lemak
|
1.291
|
.150
|
.785
|
|
|
Asupan Kalori
|
.004
|
.002
|
.209
|
|
|
a. Dependent Variable: Berat Badan
|
||||
|
Coefficientsa
|
|||
|
Model
|
|
||
|
t
|
Sig.
|
||
|
1
|
(Constant)
|
-2.306
|
.040
|
|
Tinggi Badan
|
2.339
|
.037
|
|
|
Berat Badan Tanpa Lemak
|
8.631
|
.000
|
|
|
Asupan Kalori
|
2.375
|
.035
|
|
|
a. Dependent Variable: Berat Badan
|
|||
|
No.
|
Model
Estimasi
|
F
|
r2
|
|
1
|
Y
= -2.492 + .441 TB
(.289)
|
2.327
|
.143
|
|
2
|
Y
= -4.303
+
1.554 BTL
(.143)
|
117.411
|
.893
|
|
3
|
Y
= 52.517+ 0.013 AK
(.004)
|
8.620
|
.381
|
|
4
|
Y
= -27.527
+
.155 TB + 1.496 BTL
(.101) (.142)
|
65.499
|
.910
|
|
5
|
Y
= -31.333
+
.492 TB + .014 AK
(.216) (.004)
|
8.185
|
.557
|
|
6
|
Y
= -33.412 + .210 TB + 1.291 BTL + .004 AK
|
61.141
|
.939
|
Dari
ke enam model estimasi terlihat bahwa variable TB secara konsisten sangan
berpengaruh terhadap BB (p<0.05).
pada model estimasi 1 tampak nilai r2 sebesar . 143 dan bila
dibandingkan dengan model estimasi 4,5, dan 6 penambahan r2 relatif
kecil masing-masing .910, .557, dan .939 atau hanya bertambah sekitar .767,
.414, dan .796 ini sangat tidak berarti.
Dengan
demikian kita bisa berkesimpulan TB sangat bermakna pengaruhnya terhadap BB.
Sebaliknya penambahan variable BTL dab AK tidak berperan dalam menjelaskan
variasi BB dan kita tidak perlu menambajkan kdua variable tersebut ke dalam
model. Model akhir yaitu : Y = -2.492 + .441 TB
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