I conducted mediation analyses with the process tool by Andrew Hayes to see whether perceived social support would result in greater perceived disclosure.

Because I needed to write up if any assumptions were violated, I ran linear regression separately. What assumptions are required to be met for regression to run smoothly?

For example,

The normality is violated as I have unequal group sizes but could I still include the regression analyses, or would I need to use another analysis? what alternatives would I have if that's the case?