HALAMAN
188 dan 191
TUGAS 11
SOAL
2 HALAMAN 188
Dengan
pengetahuan biomedik yang saudara miliki, gunakan data dibawah ini untuk
membuat beberapa persamaan garis regresi dan membuktikan hipotesa tentang slop
dan intersep. (Buat dulu hipotesis yang akan dibuktikan)
SKL :
Jenis Sekolah: 1 = Swasta; 0 = Negeri
JK :
Jenis Kelamin: 1 = Laki-laki; 0 = Perempuan
UM :
Umur dalam Tahun
BB :
Berat Badan
TB :
Tinggi Badan
IMT :
Indeks Massa Tubuh
BJ :
Berat Jenis Urin
AMA :
Jumlah Air Dari Makanan
TKAR :
Total Konsumsi Air
|
SKL
|
JK
|
UMUR
|
BB
|
TB
|
IMT
|
BJ
|
AMA
|
TKAR
|
|
0
|
2
|
10
|
65
|
148
|
29,7
|
1025
|
402
|
1943
|
|
0
|
1
|
11
|
27
|
129
|
16,2
|
1020
|
634
|
2135
|
|
0
|
2
|
10
|
26
|
138
|
13,7
|
1015
|
359
|
1951
|
|
0
|
2
|
11
|
28
|
142
|
13,9
|
1020
|
679
|
2205
|
|
0
|
2
|
10
|
23
|
125
|
14,7
|
1030
|
273
|
2116
|
|
0
|
1
|
11
|
29
|
145
|
13,8
|
1025
|
352
|
2272
|
|
0
|
2
|
11
|
36
|
145
|
17,1
|
1025
|
454
|
2204
|
|
0
|
2
|
11
|
41
|
148
|
18,7
|
1020
|
635
|
2177
|
|
0
|
2
|
10
|
38
|
142
|
18,8
|
1025
|
473
|
2043
|
|
0
|
2
|
10
|
55
|
146
|
25,8
|
1020
|
562
|
2244
|
|
0
|
2
|
11
|
30
|
140
|
15,3
|
1035
|
382
|
1924
|
|
0
|
2
|
11
|
32
|
143
|
15,7
|
1020
|
569
|
2182
|
|
0
|
2
|
11
|
31
|
131
|
18,1
|
1015
|
711
|
2253
|
|
0
|
2
|
11
|
53
|
150
|
23,6
|
1010
|
386
|
2237
|
|
0
|
1
|
11
|
66
|
144
|
31,9
|
1025
|
290
|
2042
|
|
0
|
2
|
11
|
43
|
147
|
19,9
|
1020
|
522
|
2255
|
|
0
|
1
|
11
|
25
|
134
|
14
|
1010
|
260
|
2071
|
|
0
|
2
|
10
|
30
|
134
|
16,7
|
1010
|
529
|
2180
|
|
0
|
2
|
11
|
41
|
151
|
18
|
1030
|
293
|
1904
|
|
0
|
1
|
11
|
24
|
133
|
14
|
1025
|
256
|
2077
|
|
0
|
2
|
12
|
27
|
136
|
14,6
|
1020
|
409
|
2282
|
|
0
|
2
|
11
|
40
|
150
|
17,8
|
1025
|
350
|
2034
|
|
0
|
2
|
11
|
37
|
144
|
17,8
|
1010
|
832
|
2105
|
|
0
|
2
|
10
|
32
|
136
|
17,3
|
1025
|
480
|
2164
|
|
0
|
2
|
11
|
41
|
147
|
19
|
1030
|
457
|
2139
|
|
0
|
2
|
11
|
27
|
137
|
14,4
|
1025
|
317
|
2009
|
|
0
|
2
|
11
|
33
|
141
|
16,5
|
1040
|
289
|
1549
|
|
0
|
2
|
11
|
25
|
135
|
13,7
|
1020
|
593
|
1976
|
|
0
|
2
|
10
|
48
|
148
|
22
|
1025
|
812
|
2005
|
|
0
|
2
|
11
|
36
|
151
|
16
|
1025
|
458
|
2280
|
|
0
|
2
|
10
|
36
|
149
|
16,2
|
1005
|
815
|
2077
|
|
1
|
2
|
11
|
33
|
139
|
17,1
|
1020
|
482
|
2321
|
|
1
|
2
|
11
|
25
|
130
|
14,8
|
1005
|
596
|
2679
|
|
1
|
1
|
11
|
31
|
147
|
14,3
|
1005
|
868
|
3018
|
|
1
|
2
|
11
|
35
|
147
|
16,2
|
1025
|
661
|
2112
|
|
1
|
2
|
11
|
51
|
149
|
23
|
1015
|
694
|
2547
|
|
1
|
2
|
11
|
39
|
148
|
17,8
|
1005
|
709
|
2958
|
|
1
|
2
|
10
|
52
|
158
|
20,8
|
1015
|
604
|
2917
|
|
1
|
2
|
11
|
58
|
158
|
23,2
|
1020
|
580
|
2477
|
|
1
|
2
|
11
|
49
|
153
|
21
|
1015
|
592
|
2488
|
|
1
|
2
|
11
|
43
|
147
|
19,9
|
1010
|
693
|
2894
|
|
1
|
1
|
10
|
42
|
153
|
18
|
1010
|
547
|
2591
|
|
1
|
1
|
11
|
43
|
146
|
20,2
|
1020
|
379
|
2232
|
|
1
|
1
|
11
|
35
|
141
|
17,6
|
1015
|
1000
|
2786
|
|
1
|
1
|
11
|
51
|
152
|
22,1
|
1010
|
636
|
2785
|
|
1
|
2
|
11
|
27
|
128
|
16,5
|
1010
|
446
|
2927
|
|
1
|
1
|
11
|
39
|
151
|
17,1
|
1015
|
631
|
3072
|
|
1
|
2
|
12
|
38
|
154
|
16,1
|
1015
|
458
|
2741
|
|
1
|
1
|
10
|
35
|
140
|
17,9
|
1020
|
578
|
2312
|
|
1
|
1
|
11
|
31
|
147
|
14,3
|
1020
|
267
|
2388
|
|
1
|
2
|
11
|
35
|
148
|
16
|
1010
|
605
|
2468
|
|
1
|
1
|
11
|
18
|
119
|
12,7
|
1015
|
388
|
2521
|
|
1
|
1
|
12
|
54
|
147
|
25
|
1025
|
492
|
2384
|
|
1
|
2
|
11
|
36
|
149
|
16,2
|
1020
|
407
|
2447
|
|
1
|
1
|
11
|
28
|
148
|
12,8
|
1010
|
715
|
2503
|
|
1
|
2
|
10
|
38
|
142
|
18,8
|
1020
|
909
|
2750
|
|
1
|
2
|
10
|
33
|
144
|
16
|
1020
|
436
|
2756
|
|
1
|
2
|
11
|
32
|
149
|
14,4
|
1005
|
1067
|
3547
|
|
1
|
1
|
11
|
40
|
148
|
18,3
|
1015
|
596
|
3373
|
|
1
|
1
|
11
|
38
|
147
|
17,6
|
1005
|
560
|
2710
|
|
1
|
1
|
11
|
39
|
148
|
17,8
|
1010
|
545
|
2328
|
|
1
|
1
|
10
|
45
|
147
|
20,8
|
1030
|
513
|
2343
|
|
0
|
2
|
10
|
65
|
148
|
29,7
|
1025
|
402
|
1943
|
|
0
|
1
|
11
|
27
|
129
|
16,2
|
1020
|
634
|
2135
|
|
0
|
2
|
10
|
26
|
138
|
13,7
|
1015
|
359
|
1951
|
|
0
|
2
|
11
|
28
|
142
|
13,9
|
1020
|
679
|
2205
|
|
0
|
2
|
10
|
23
|
125
|
14,7
|
1030
|
273
|
2116
|
|
0
|
1
|
11
|
29
|
145
|
13,8
|
1025
|
352
|
2272
|
|
0
|
2
|
11
|
36
|
145
|
17,1
|
1025
|
454
|
2204
|
|
0
|
2
|
11
|
41
|
148
|
18,7
|
1020
|
635
|
2177
|
|
0
|
2
|
10
|
38
|
142
|
18,8
|
1025
|
473
|
2043
|
|
0
|
2
|
10
|
55
|
146
|
25,8
|
1020
|
562
|
2244
|
|
0
|
2
|
11
|
30
|
140
|
15,3
|
1035
|
382
|
1924
|
X1 = SKL : 1 bila sekolah swasta
0
bila sekolah Negeri
X2 = JK : 1 bila laki-laki
0
bila Perempuan
X3 = UM
X4 = BB
X5 = TB
X6 = IMT
X7 = AMA
X8 = TKAR
X9 = SKL*JK
|
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), interaksi BBdanTB,
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 namun 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
SOAL 3 HALAMAN 191
|
Variabel
|
β
|
S
|
Partial F
|
|
Umur
|
1.02892
|
0.50177
|
4,205
|
|
IMT
|
10.45104
|
9.1311
|
1.310
|
|
RKK
|
-0.53744
|
23.23004
|
0.00053
|
|
Umur*RKK
|
0.43733
|
0.7132
|
0.376
|
|
IMT*RKK
|
-3.70682
|
10.76763
|
0,11851
|
|
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
Kesimpulan:
Penambahan variabel X1 dan X2 kedalam
model bermakna karena Parsial F > Ftabel(1), dengan kata lain
perlu menambahkan variabel tersebut kedalam model regresi. Sedangkan variabel
selain itutidak perlu ditambahkan kedalam model regresi sehingga model regresi
akhir adalah sebagai berikut :
Y
= β0 + β1X1 + β2X2
= 48.61271 + 1.02892 Umur + 10.45104 IMT
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