Linear Regression - transformations of variables (log-y instead of y, log-x instead of x)

3 important questions on Linear Regression - transformations of variables (log-y instead of y, log-x instead of x)





log-log log Yi = β0 + β1 log Xi + ui





elasticity: Xi increases by 1%, y increases by β1%





log-linear logYi=β0+β1Xi+ui





(dy/y)/dx: Xi increases by 1, y increases by 100β1%





linear-log Yi = β0 + β1 log Xi + ui





dy/(dx/x): Xi increases by 1%, y increases by 0.01β1

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