I have a multiple regression with 200 binary independent variables. The dependent variable is not binary. I know that there should not be more than 10-20 independent variables in a multiple regression. However, only 6 of them take the value 1 and the rest take the value 0, i.e. that only 6 of the independent variables have a value.

Is it possible to run a regression with 200 indepent variables or should I run a simple linear regression for each independent variable?

I am looking forward to your response.

Kind regards