Thursday, 29 October 2015

Interpretation of Regression Analysis

How to Interpret Econometric Equation


log Wagei=α + B1log(Year Of Schooling)i +ε
log Wi = α + B1log(YOS)i +ε
B1 = 0.25
1% increase in YOS will increased the individual wage by 0.25%.
log Wi = α + B1(YOS)i +ε
B1 = 0.25
1 year increase in YOS will increased the individual wage by 25%.
Wi = α + B1(YOS)i +ε
B1 = 0.25
1 year increase in YOS will increased the individual wage by RM0.25.
Wi = α + B1log(YOS)i +ε
B1 = 0.25
1% increase in YOS will increased the individual wage by RM0.0025.


Yi = α + β1X1i 2lnX2i + β3X3i + ε 
Total Expenditurei = α + β1Agei2ln(Income)i + β3Malei + ε 

β1 = 202.10
β2 = -260.22
β3 = 1251
Dummy (Male = 1, Female = 0)

Interpretation 1:
One year increase in age will increased total expenditure by RM202.10.
Interpretation 2: 
One percent increase in income will decrease the total expenditure by RM2.6022 (260.22/100)[Individual might saving].
Interpretation 3:
Male has RM1251 higher total expenditure than female. [If B3= -1251, male has RM1251 less expenditure than female]


lnYi = α + β1X1i 2lnX2i + β3X3i + ε 
ln(Total Expenditure)i = α + β1A(ge)i +β2ln(Income)i + β3(Male)i + ε 

β1 =0.0419
β2 = -0.16
β3 =0.42
Dummy (Male = 1, Female = 0)

Interpretation 1:
One year increase in age will increased total expenditure by 4.19% (0.0419x100%).
Interpretation 2: 
One percent increase in income will decrease the total expenditure by 0.16%[Individual might saving].
Interpretation 3:
Male has 42% (0.42x100%) higher total expenditure than female. 

log Wagei = α + β1(Year of Schooling)i + ε 

β1= 0.25
Interpretation 
One year increase in year of schooling will increased the individual wage by 25%.

Wagei = α + β1(Year of Schooling)i + ε

β1= 0.25
Interpretation
One year of schooling increase will increased the individual wage by RM0.25. [If B1= 100.20, one year increase in schooling will increased individual wage by RM100.20]


Wagei = α + β1log(Year of Schooling)i + ε

β1= 0.25
Interpretation
One percent increase in year of schooling will increased the individual wage by RM0.0025(0.25/100).
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