Is there any hope for my iPhone data?

So last night I got a iPhone 5s and I switch from an iPhone 4 I plug my iPhone for into iTunes said I had to restore it factory settings I did it thinking my data was going to be backed up when I restored my iPhone 4 had lost all it's data including pictures, text and apps and I was wondering id there anyway I could get that back on my iPhone 5s?
BTW I'm with Verizon

There's nothing much that you can do about it.
If you have the back up in your I tunes, you can save it on your new phone, else you've lost it all my friend.
And your network provider can't fix it.

Sorry, but its gone

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