# Percentage interpretation of negative values when you can't use log transformation

I have a data set of 5 indicators of the stock market. 2 of the indicators have negative values: e.g. they range from say -50 to 100. After running a regression I would like to be able to compare the results on a percentage basis.

For example if my model is $y = B_1+B_2 x$, $y$ = dep variable, $x$ = indep then I want to know how much $y$ change in $\%$ if $x$ changes $1\%$.

Notes:

1. As I have negative values I can't use the log transformation
2. The values for the indicators are very different (some range 2000-1000, some 50-100) which is why I want the % interpretation for easier interpretation.
• Some people use $\text{sign}(x) \ln(1 + |x|)$ as a logarithm-like transformation defined for negative, zero and positive values alike. For large $x > 0$ it is close to $\ln x$, for large $x < 0$ it is close to $-\ln |x|$ and for $x \approx 0$ it is close to $x$. – Nick Cox Jan 31 '16 at 12:37