That China means "from China" was pretty simple, much more interesting is from what porcelain came out:
Look up porcelain at Dictionary.com
1530s, from M.Fr. porcelaine, from It. porcellana "porcelain" (13c.),
lit. "cowrie shell," the chinaware so
called from resemblance to the shiny
surface of the shells. The shell's
name in Italian is from porcella
"young sow," fem. of L. porcellus
"young pig," dim. of porculus
"piglet," dim. of porcus "pig."
So we have a shell (cowrie) that resemble a young sow. Then came this new material from China that resemble the shell material for smoothness and glossy, so they took the Italian name of the shell for the material.
Curiously enough now the shell is called Ciprea in Italian, I never heard the word Porcellana in Italian in relation to any shell.
Best Answer
A regime usually refers to a system of government.
A regimen is a plan that one adheres to (i.e. regimented).
People misuse regime a lot of the time when they mean regimen, especially relating to diets.