If there are more than one automated regression script, then you can perform a 'Batch Run'
While certain automated tools let you write a bit of code to run all the scripts one after the other.
There are also more advanced features in tool like QTP - The 'batch run' feature (seen under QTP submenu in Programs list) lets you select the scripts that shud be run in a batch mode and once set off, the scripts are run one after the other with out needing any intervention from the tester. The results can be verified once all the scripts ran