Emtec USB 3.0 Wi-Fi Portable Hard Drives

Does anyone know if the Emtec 1TB USB 3.0 Wi-Fi is compatible with Time Machine (OS X) for automatic backups?

Yes; You can do a USB backup as a portable drive with Time Machine.

Wi-Fi will also work, but it’s a more complicated setup (network drive sharing). However, most people (including Apple), suggest to never do backups over Wi-Fi.