2. Transformation of a Variable
Reason
Nonliear is translated into linear
Methods of explanation for linear relation are known
How
Justified
Theoretically
Diagnostic Plots
Transform x Y Both

3. Transformation of a Variable
Function
Reciprocal
Y =α+ β/x
Exponential
Y =αebx
Power
Y =αxb
Log
Y =α+ β log
x
Transform
Y’ =ln(Y) Y’ =lnα+ β x
Linear Form
Y’ =log(Y),
X’ =log(X)
Y’ =logα+ β x’
X’ =log(X) Y’ =α+ β x’
X’ =1/x Y’ =α+ β x’

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y