analisis regresi hal 222 pertemuan 14

Halaman 222

ESTIMASI MODEL 1 : CHOL = 203.123 + 0.127 TRIG

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 1181.676 1 1181.676 1.850 .181 a

Residual 27464.768 43 638.716

Total 28646.444 44

a. Predictors: (Constant), trigliserida

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

t Sig.

B Std. Error Beta

1 (Constant) 203.123 17.156 11.840 .000

trigliserida .127 .093 .203 1.360 .181

a. Dependent Variable: cholesterol

ESTIMASI MODEL 2 : CHOL = 204.048 + 0.445 UMUR

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 655.625 1 655.625 1.007 .321 a

Residual 27990.819 43 650.949

Total 28646.444 44

a. Predictors: (Constant), umur

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

t Sig.

B Std. Error Beta

1 (Constant) 204.048 22.093 9.236 .000

Umur .445 .444 .151 1.004 .321

a. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

t Sig.

B Std. Error Beta

1 (Constant) 203.123 17.156 11.840 .000

trigliserida .127 .093 .203 1.360 .181

a. Dependent Variable: cholesterol

ESTIMASI MODEL 3 : CHOL = 217.420 + 0.003 UMQS

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 396.227 1 396.227 .603 .442 a

Residual 28250.217 43 656.982

Total 28646.444 44

a. Predictors: (Constant), umur kuadrat

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

t Sig.

B Std. Error Beta

1 (Constant) 217.420 11.555 18.816 .000

umur kuadrat .003 .004 .118 .777 .442

a. Dependent Variable: cholesterol

ESTIMASI MODEL 4 : CHOL = 192.155 + 0.292 UM + 0.108 TRIG

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 1437.719 2 718.860 1.110 .339 a

Residual 27208.725 42 647.827

Total 28646.444 44

a. Predictors: (Constant), trigliserida, umur

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

t Sig.

B Std. Error Beta

1 (Constant) 192.155 24.554 7.826 .000

Umur .292 .464 .099 .629 .533

trigliserida .108 .098 .173 1.099 .278

a. Dependent Variable: cholesterol

ESTIMASI MODEL 5 : CHOL = - 25.670 + 9.838 UM - 0.093 UMQS

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 3678.335 2 1839.167 3.094 .056 a

Residual 24968.110 42 594.479

Total 28646.444 44

a. Predictors: (Constant), umur kuadrat, umur

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

T Sig.

B Std. Error Beta

1 (Constant) -25.670 104.039 -.247 .806

umur 9.838 4.187 3.342 2.350 .024

umur kuadrat -.093 .041 -3.207 -2.255 .029

a. Dependent Variable: cholesterol

ESTIMASI MODEL 6 : CHOL = - 21.969 + 9.220 UM + 0.079 TRIG - 0.088 UMQS

ANOVA b

Model Sum of

Squares

df Mean Square F Sig.

1 Regression 4086.344 3 1362.115 2.274 .094 a

Residual 24560.100 41 599.027

Total 28646.444 44

a. Predictors: (Constant), umur kuadrat, trigliserida, umur

b. Dependent Variable: cholesterol

Coefficients a

Model Unstandardized

Coefficients

Standardized

Coefficients

T Sig.

B Std. Error Beta

1 (Constant) -21.969 104.532 -.210 .835

umur 9.220 4.269 3.132 2.160 .037

trigliserida .079 .095 .126 .825 .414

umur kuadrat -.088 .042 -3.035 -2.103 .042

a. Dependent Variable: cholesterol

Kita lakukan uji parsial F seperti berikut (berdasarkan hasil-hasil yang sudah kita lakukan diatas)

ANOVA Tabel untuk TRIG dengan CHOL dan UM , UMSQ

Sumber Df SS MS F r 2

X1 1 1181.676 1181.676 1.97266 0.143

Regresi X2│X1 1 1.21668 1.21668 0.00203

X3│X1, X2 1 2.84224 2.84224 0.00474

Residual 41 24560.100 599.027

Total 44 28646.444

Nilai F untuk penambahan independent variabel X 3 = 0.00474 < F 4.08 ini berarti hipotesa H 0 :

β 3 = 0 diterima atau gagal ditolak artinya penambahan third order ( X 3 ) tidak secara bermakna

dapat memprediksi Y.

Kita bersimpulan bahwa :

a. Penambahan “ second order” sesuai (fit) dengan nilai r 2 = 0.128

b. Penambahan nilai r 2 menjadi 0.143 pada “ thind order” hanya sebesar 0.015 adalah kecil

c. Kurva yang ada cukup diterangkan dengan “second order”

TUGAS HALAMAN 223

Source df SS MS F

X 1 174.473,96 174.473,96 429,1691

Regresi X 2 │X 1 10.515,44 10515,44 25,8658

X 3 │X,X 2 1 415,19 415,19 1,02128

Residual 15 6098,08 406,539

Total 18 190.502,93

Model regresi :

Model estimasi 1 : Y = - 122.345 + 6.227 X

Model estimasi 2 : Y = 32.091 – 3.051 X + 0.1176 X 2

Model estimasi 3 : Y = 114.621 – 10.620 X + 0.3247 X 2 + 0.00173 X 3

Jawaban :

1. Nilai r 2 1 :

2. Nilai r 2 2 :

3. Nilai r 2 3 :

4. Nilai F model estimasi 1: 429.19 > F tabel 4.54, maka kesimpulan perubahan

penambahan independen variabel X secara bermakna meningkatkan prediksi Y.

5. Nilai F model estimasi 2 : 25.87 > F tabel 4.54, maka kesimpulan perubahan

penambahan independen variabel X 2 secara bermakna meningkatkan prediksi Y.