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The WoW wiki page on mana regeneration states Spirit does not affect in-combat mana regen:

Spirit regenerates high amounts of mana, but only out of combat.
...
InCombatManaRegen = 5% of Base Mana [per what?]
...
Spirit will be the primary modifier of mana regen while out-of-combat and only based on its affect to base-mana in-combat.

However, this directly conflicts with the in-game tooltip:

Spirit

It's possible the tooltip was just never updated, but it's also possible the wiki was edited without real justification (There are no working sources for that page).

Has anyone done any Science™ or have a reliable source which explains how mana-regen works now?

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    Speaking purely from experience, Spirit does still appear to improve in-combat mana regeneration, suggesting that WoWWiki is out of date. I'll science it when I get home. – psyk0 Jan 5 '15 at 12:13
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    The "patch changes" section of that wiki also doesn't list any changes since 4.0.1. Since we know for a fact changes were made to regen in WoD, we can safely assume the page is out of date. – Michael Campbell Jan 5 '15 at 12:16
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    WoWWiki was nearly abandoned during the transition to Cataclysm. Wowpedia (wow.gamepedia.com) was forked from it and is much more up-to-date. – Jeremy Avalon Apr 20 '15 at 18:49
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4906 is your mana regenerated every 5 seconds. It consists of two parts.

First part is baseline healer mana regen with no spirit. That's 0.4%/sec at level 100 (source). For 5 seconds * 0.004 * 160000 mana = 3200 mana every 5 seconds.

For every point of spirit you get 0.412207024 mana per second (source). 0.412207024 * 829 * 5 seconds = 1708.598 mana every 5 seconds.

3200 + 1708 = 4908.

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