I am trying to develop a benchmark method for energy efficiency analysis. The idea is to predict energy consumption and use the difference between predicted and real energy consumption as a measures of inefficiency.
I developed two model that predict energy consumption using the same explanatory variables and I have to choose the best. The only difference in the two model is the dependent variable. In one case Y (say Y1) is total energy consumption and in the other one Y (say Y2) is energy intensity (kWh/m2).
As I said the two model are identical, but model 1 has a much higher adj. R2 (0.95), while the second has adj. R2 = 0.7. What I can say is that SIZE is one of the explanatory variable and has a huge impact on the first model explaining the majority of the variability on energy consumption. In the other case (model 2), SIZE has a much smaller impact comparable with the other explanatory variables.
My question is which one should I choose? The first one? The higher R2 is useful for my objective?