I ran two regressions. First, say, y=βx, and the second one, asinh(y)=βx, which I read is asymptotically equivalent to log(y)=βx, where x and y are the same variables with same data set for these two equations.
My confusion is that β is negative for the first regression (which I expected), but is positive for the second regression.
The sample size is the same for both regressions. Since I used asinh(y) instead of log(y), it did not drop zero values of y.
If it helps, I could totally regress in level-level mode, but the y variable is not normally distributed, and therefore, the asinh/log transformation.
Am I missing something?