Korelasi dan Regresi

(1)

KORELASI DAN REGRESI LINEAR

(2)

Korelasi

* menunjukkan arah hubungan

* Uji :

r product moment Pearson

Spearman

Kendall

(3)

Corre la t ion be t w e e n

Pla sm a volum e a nd body w e ight

in 8 he a lt hy m e n

Subject Body weight (kg) Plasma vol. (l)

1. 58.0 2.75

2 70 0 2 86

(4)

(5)

(6)

(7)

SPSS output

Correlations

1 000 814** Pearson Correlation

Tekanan sistolik (mm Hg)

Tekanan Tekanan sistolik (mm Hg)

Tekanan diastolik (mm ,814 1,000

,000 ,

Correlation is significant at the 0 01 level (2-tailed) **. Correlation is significant at the 0.01 level (2-tailed)..

(8)

(9)

Regresi

* Mampu memprediksi DV dari perubahan IV

* Uji :

- regresi sederhana : Y=a+bX.

regresi sederhana : Y a+bX.

- regresi majemuk :

Y = a + b1X1 + b2X2 ……….biXi

(10)

Line a r re gre ssion

g

• Give s t he e qua t ion of t he st ra ight line t ha t be st de sc ribe s it a nd e na ble s t he pre dic t ion of one va ria ble from t he ot he r

T he e qua t ion is : y = a + bx

a = intercept

b = slope = regression coefficient y = dependent var

y = dependent var. x = independent var.

(11)

Linear Regression

(12)

The intercept and slope of regression equation

y=a+bx

(13)

SPSS Output :

• Descriptive statistics

• Correlations

• Variables entered/removed

• Model summary

• Anova

(14)

Descriptive Statistics

M

Std D

i ti

N

141,67

20,57

30 85 67

15 13

30 Tekanan sistolik (mm Hg)

Tekanan diastolik (mm

Mean

Std. Deviation

N

85,67

15,13

30

(15)

Correlations

1,000 ,814

Tekanan sistolik (mm Hg) Pearson Correlation

Tekanan sistolik (mm Hg) Tekanan diastolik (mm

Tekanan sistolik (mm Hg) Tekanan diastolik (mm Hg)

N

(16)

Variables Entered/Removed

b

All requested variables entered

a. All requested variables entered.

a.

(17)

Model Summary

Adj sted

Std Error of

,814

a

,662

,650

12,17

Model

1 R

R Square

Adjusted

R Square

Std. Error of

the Estimate

Predictors: (Constant), Tekanan diastolik (mm Hg)

a.

R

2 =

_{Koefisien determinasi}

= Sumbangan var bebas terhadap kejadian var dependent

(18)

ANOVAb

Sum of

8121,557 1 8121,557 54,861 ,000a 4145,109 28 148,040

Regression Residual Model

1

Squares df Mean Square F Sig.

12266,667 29 Total

Predictors: (Constant), Tekanan diastolik (mm Hg) a.

Dependent Variable: Tekanan sistolik (mm Hg) b Dependent Variable: Tekanan sistolik (mm Hg) b.

F hit ung = 5 4 .8 9 , p = 0 .0 0 0

(19)

Coefficientsa

Unstandardized

Standardi zed Coefficien

46,900 12,986 3,612 ,001 (Constant)

1,106 ,149 ,814 7,407 ,000 Tekanan diastolik

(mm Hg)

Dependent Variable: Tekanan sistolik (mm Hg)

a. _p ₍ _g)