@Minty another fairytale ? ... this will ONLY release/renew your IP address (DNS, routes and etc) dynamically assigned from DHCP to your local network interface (and probably from your home router). This is NOT connected with your MAC address. MAC is physical address (hexadecimal value) based on your interface vendor and serial number. There are ways how to change this but it's not 'clean' way because of the standard. Sure few programs can do it (for some reason), you can steal it, you can fake it, you can hide it, but it still bad idea if you dont know what and why you doing this!
Mostly it can be hidden by some type of firewall setting (on 2nd layer) or unwanted router settings. Also 'MAC clonning' on some routers are there for some reason but dont think so, thats current problem.
@ETPlayer But, want to think in different way - it can be hidden, when your ISP will use IPv6 with non-transparent nat/tunnel to IPv4 ... Do you have IPv6 address by default or you have IPv4 ?