Regresi Linear Sederhana

When do we use regression? ,[object Object],[object Object],X 1 X 2 Korelasi X Y Regresi

Regression or correlation? ,[object Object],[object Object]

Model regresi sederhana ,[object Object],[object Object],[object Object],β =  Y  X (slope) sisaan X  X  Y  (intercept)  i X i Y i Observed Expected

[object Object],[object Object],Koefisien Regression dan correlation ,[object Object],[object Object],[object Object],[object Object]

Hypothesis testing : testing model parameters ,[object Object],[object Object],[object Object],[object Object],[object Object],Y  Y H 01 :  = 0 Y = 0 X Y  H 02 : b = 0 X Y  Observed Expected

Asumsi Residual ,[object Object],[object Object],[object Object],[object Object]

Pemeriksaan asumsi residual ,[object Object],[object Object],[object Object],Estimate Residual

Pemeriksaan asumsi residual ,[object Object],[object Object],[object Object],[object Object],NEDs Residual Normal Non-normal Residual Estimate

[object Object],[object Object],Pemeriksaan asumsi residual ,[object Object],Estimate Residual Group 1 Group 2 Group 3 Residual Estimate

[object Object],Pemeriksaan asumsi residual ,[object Object],Residual X Y Estimate

Apa yang harus dilakukan jika aasumsi tidak terpenuhi ? ,[object Object],[object Object],[object Object],[object Object]

Transformasi dalam regresi 0 200 400 600 1.2 2.4 3.6 4.8 6.0 7.2 Length (mm) Weight (kg) 10 100 1000 0.001 0.01 0.1 1.0 8.0 Length (mm; log scale) Weight (kg; log scale) Weight versus length in the beetle Scorpaenichthys marmoratus

Transformasi dalam regresi 10 20 50 100 150 Chirps/min o C 10 20 40 80 120 160 Chirps/min (log scale)

Transformasi dalam regresi 0 10 20 30 40 50 60 70 Relative brightness (times) 0 1 2 3 4 5 6 7 Millivolts Electrical resistance as a function of illumination in cephalopod eyes. 70 1 2 5 10 20 50 Relative brightness (times) in log scale 0 1 2 3 4 5 6 7 Millivolts

Regresi Linear Sederhana

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