Linear regression analysis assumptions not met

#1
I want to demonstrate a possible association between a dichotomous independent variable and a continuous dependent variable. Therefore, I wanted to use a linear regression analysis. However, the dependent variable is not normally distributed, while normality is an assumption of linear regression analysis. The other assumptions are met. How can I solve this problem or which other test can I use for this?
 

Karabiner

TS Contributor
#2
I want to demonstrate a possible association between a dichotomous independent variable and a continuous dependent variable. Therefore, I wanted to use a linear regression analysis.
Why not simply a t-test (Welch test)?

What are these varables and how large is your sample size?
However, the dependent variable is not normally distributed, while normality is an assumption of linear regression analysis.
Well, no, it isn't. The residuals should be normally distributed (in the population),
but if sample size is large enough, the F-test is robust against a nonnormal distribution
of residuals.

With kind regards

Karabiner