Minggu, 16 April 2017

Analisis Regresi Hal.86-87



Latihan Halaman 86
Pelajari data dibawah ini, tentukan dependen dan independent variabel serta
Hitung Sum of Square for Regression (X)
Hitung Sum of Square for Residual
Hitung Means Sum of Square for Regression (X)
Hitung Means Sum of Square for Residual
Hitung nilai F dan buat kesimpulan

Mg Serum
Mg Tulang
3.6
672
2.7
567
2.45
612
1.45
400
0.9
236
1.4
270
2.8
340
2.85
610
2.6
570
2.25
552
1.35
277
1.6
268
1.65
270
1.35
215
2.8
621
2.55
638
1.8
524
1.4
294
2.9
330
1.8
240
1.5
190
              
Jawab :

Hasil analisa data dengan regresi menggunakan software SPSS seperti dibawah ini:
Variabel Dependen               : Mg Tulang
Variabel Independent           : Mg Serum

Variables Entered/Removedb
Model
Variables Entered
Variables Removed
Method
1
MgSeruma
.
Enter
a. All requested variables entered.
b. Dependent Variable: MgTulang

Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.766a
.587
.566
111.89420
a. Predictors: (Constant), MgSerum

ANOVAb
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
338633.876
1
338633.876
27.047
.000a
Residual
237885.934
19
12520.312


Total
576519.810
20



a. Predictors: (Constant), MgSerum
b. Dependent Variable: MgTulang


Mean Sum of Square Regression = SSRegr / df = 338633,876/1 = 338633,876

Mean Sum of Square Residual = SSResd/df = 237885,934/19 = 12520,312

F = MS-Regr / MS-Resd = 338633,876/12520,312 = 27,0467
Nilai Fh = 27,0467 > Ft = 4,38, nilai p<0,05 sangat bermakna, kolom sig = 0,000 artinya kita menolak hipotesa nol, dan kita nyatakan bahwa Mg Serum mempengaruhi Mg Tulang.

Latihan Halaman 87

Pelajari data dibawah ini, tentukan dependen dan independent variabel serta
Hitung Sum of Square for Regression (X)
Hitung Sum of Square for Residual
Hitung Means Sum of Square for Regression (X)
Hitung Means Sum of Square for Residual
Hitung nilai F dan buat kesimpulan

Data berat badan dan kadar glukosa darah orang dewasa sebagai berikut (data fiktif)

Subjek
Berat Badan (kg)
Glukosa mg/100 ml
64
108
64
75.3
109
75.3
73
104
73
82.1
102
82.1
76.2
105
76.2
95.7
121
95.7
59.4
79
59.4
93.4
107
93.4
82.1
101
82.1
78.9
85
78.9
76.7
99
76.7
82.1
100
82.1
83.9
108
83.9
73
104
73
64.4
102
64.4
77.6
87
77.6

Jawab :

Hasil analisa data dengan regresi menggunakan software SPSS seperti dibawah ini:
Variabel Dependen          : Glukosa mg/100 ml
Variabel Independent      : Berat Badan (BB)

Variables Entered/Removedb
Model
Variables Entered
Variables Removed
Method
1
BBa
.
Enter
a. All requested variables entered.
b. Dependent Variable: Glukosa

Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.484a
.234
.180
9.27608
a. Predictors: (Constant), BB

ANOVAb
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
368.798
1
368.798
4.286
.057a
Residual
1204.639
14
86.046


Total
1573.437
15



a. Predictors: (Constant), BB
b. Dependent Variable: Glukosa

Mean Sum of Square Regression = SSRegr / df = 368,798/1 = 368,798

Mean Sum of Square Residual = SSResd/df = 1204,639/14 = 86,045

F = MS-Regr / MS-Resd = 368,798/86,045 = 4,286
Nilai Fh = 4,286 < Ft = 4,60, nilai p>0,05 tidak bermakna, kolom sig = 0,057 artinya kita menerima hipotesa nol, dan kita nyatakan bahwa Berat badan tidak mempengaruhi kadar Glukosa darah.

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