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:

  1. If the indepvar increases about 1 unit, the depvar increase about 4.803.
  2. If the indepvar increases about 1 percent, the depvar increase about 4.803.
  3. 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


1 Answer 1


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.

  • $\begingroup$ Maarten, thanks for the clarification. I see, it definitely made sense to ask here. Just to make sure I got it right. If y is a percentage value, an increase of 1 units of x would yield to an increase of 4803 % of y? And if x would get multiplied by 100, the coefficient is about 0.048, that would mean if x increases 1 unit, y would increase by 4,8%? $\endgroup$
    – Sam
    Sep 17, 2022 at 10:21
  • $\begingroup$ Linear regression is not about percentages, it is just an absolute change. It is just additive. For one unit change in $x$ you get $\beta$ units more/less of $y$. $\endgroup$ Sep 17, 2022 at 10:53

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.