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Dude, I don't want to rain on your parade, but even if you do find a statistical correlation (and I doubt very much that you will) you're not going to be able to make any kind of judgement about causation. Presidential popularity is simply too broad a variable.
Its like trying to find a statistical relationship between an NFL team's merchandise sales (a measure of overall popularity) and the amount they spend on their punt return specialist. There are way, way, WAY too many other things that effect it.
Before you put in anymore work you need to reexamine a) what issue you are trying to investigate and b) how to specifically address that issue.
If you're trying to get at public sentiments regarding private military corporations, you're going to have a very hard time because before about 2004 (the Blackwater incident in Fallujah) pretty much no one outside of the national security community knew what a PMC was.
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The strength of a nation is its knowledge. -Welsh Proverb
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