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y on x
1 unit change in x, we expect the mean response y to change by beta1
Log y on x
a 1 unit change in x, we expect the median response y to change by e^beta1 units
y on Log x
For a 2 times increase in x we expect the mean response y to increase by beta1•log(2)
Log x on log y
for a doubling in x we expect the median response y to increase by a multiplicative factor of 2^beta1