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If you are referring to adding Google Analytics to your Event from Constant Contact, as long as you have an account with Google Analytics you should be able to track the registration pages by adding the Google Analytics web property ID into the "Google Analytics" box under Advanced Options. This would track where traffic is coming from, if and where prospects are falling out of the process and allow you to collect location information on the registrants. Here's more information.
If you are referring to adding the Event Tracking from Google Analytics to track what actions people are taking on your site, then using the Embeddable Sign up form might be your best option. By adding the embeddable sign up form you have access to the code of the form to edit so that you can add the Event Tracking from Google Analytics to where you would need. I would recommend thoroughly testing this on your site to ensure that the code that you are adding to the embeddable form is not going to cause any issues with the transfer of information to your Constant Contact account. If this does not work for any reason, then the other option is to create your own custom form where you can add the tracking and link it to your account with an API.
Your first link produced a page not found error: http://support2.constantcontact.com/articles/FAQ/4043cc=sm_COM_ctcthelp
Also I was not aware of the new embeddable signup form feature -- thanks for sharing this.
Thanks for catching that! I've updated the link above and it should work for you now.
Let us know if you have any questions on this or on the embed feature!