Can certain email senders or domains get excluded from the analytics? e.g. emails that are notifications from social media or other apps (i.e. not actionable or important emails)

Yes, there are account level filters to exclude emails that don’t need to be replied to or emails that you would like to exclude from reporting.

To set up a filter, browse to Tools > Filters to exclude or include emails based on email domain, email addresses, or specific criteria using the advanced filters.

For more detail on using filters, please see the help article below:

Using the Filters section of Time To Reply.