I was unable to find a solution online, so my question to the expert community is:
Can I restore only the health data to my iPhone from an iTunes backup?
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If you are signed into icloud on a iphone go to general, storage & Backup Usage, then you will see icloud /Manage Storage with a arrow to open it. You can see and set all you applications to be included or not in your cloud. You can set what you want to back up or erase backups. If you sign out of Icloud you will only see the storage options. The Health app is the only one that seems to be sneaky. I don't think you can delete it.