How to interpret the coefficient of a limited independent Variable (Index)? I assume this is a very simple question, however I am not sure about it.
I have a regression table in front of me that contains the coefficients of a linear regression. The dependent variable is scaled metrically, the independent variable of interest is an index limited from 0 to 1. If I want to interpret the influence the index has on the dependent variable (lets suppose 4.803), what is correct:

*

*If the indepvar increases about 1 unit, the depvar increase about 4.803.

*If the indepvar increases about 1 percent, the depvar increase about 4.803.

*If the indepvar increases about 1/100, the depvar increase about 4.803.

I am relatively sure that it has to be 2 or 3, because 1 would imply an increase of the indepvar from 0 to 1.
I would appreciate a short comment on that.
Thanks in advance!
Kind regards
Sam

Well, it is actualy 1). A regression coefficient is just the change in $y$ for a unit change in $x$. It is up to us humans to make sure that the unit of $x$ is meaningfull. For example, we could multiply $x$ by a 100 before including it in our regression model to get interpretation number 3.
