I have the following two models. The first is a level-log model, and the second is a log-level model. These models are two separate regressions and are estimated independently.
Assume that α=0.036 and β=0.549. Based on these values, I want to calculate the economic significance of the effects of my independent variables as follows:
Change in the dependent variables in response to one standard deviation increase in the independent variables.
Suppose that after multiplying α and β with the respective standard deviations, the final values are equal to 0.020 and 0.120.
Will you please tell me how should I interpret these two number? in %? How much change is observed in my dependent variable in levels if the independent variable in log increases by 0.020?
I know how to interpret coefficients in level-log model and log-level models but got a bit confused here.
Will you please share your opinion?