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uh, it exactly proves my point
Insofar as you had a point, no, it didn't prove it.
A change in the Government spending as a % of GDP doesn't prove or disprove any cause and effect of that spending on GDP.
In fact, if, for example, Government spending resulted in an ROI of 50%, then the % of GDP would drop while Government spending increased. But if the government was shoveling that same cash into dead end projects like Solyndra and the private sector was in an oil boom you would get the same curve. Which scenario is your curve demonstrating? It doesn't say and I dare to venture a guess that you have no idea.