This post will focus on the Install Error 1402 where Office 2013 setup cannot open the registry key named Unknown/Component/[Random Numbers].
This error is only shown when registry keys do not have Administrator permission. As it happens some setup can mess up the registry permissions and Office 2010 installer is no exception.
Entering the following line in Command Prompt will fix the problem for most people,
secedit /configure /cfg %windir%\inf\defltbase.inf /db defltbase.sdb /verbose