How is deficit spending related to job gain/loss? One school of economics (I can't remember which), says that in a recession, the state is the only player big enough and with a long enough time horizon to take on debt to increase demand in the economy.

So, if you're comparing job gain/loss to deficit spending, then... spending more money correlates to a slowing in the rate of job loss.

Congratulations, you just demonstrated the opposite of the point I think you were trying to make.

And if you look at the graph, it doesn't make sense, at least in this context. One series is Total budget deficit, the other is increase in national debt. So, it looks more like a graph trying to show the changes in the national debt that aren't related to the budget deficit. That is to say, off-budget expenses (wars, etc...).