Are the real-world data consistent with the perspective of the automatic stabilizers during the recessions since the 1970s?

Take a look at the graphs of real GDP and federal debt in the following links: 

Real Gross Domestic Product (GDPC1) | FRED | St. Louis Fed (stlouisfed.org) (Links to an external site.) 

During a recession, real GDP decreases.  On the graph, the grey column is the duration of a recession. 

Federal Surplus or Deficit [-] (FYFSD) | FRED | St. Louis Fed (stlouisfed.org) (Links to an external site.) 

When there is a budget deficit, the number (T-G) on this graph is negative.  This implies that when the number (T-G) is more negative, there is more budget deficit.  On the other hand, when there is a budget surplus, the number (T-G) is positive, which occurs, for example, between 1997 and 2001.      

Questions:

1. From the perspective of automative stabilizers, how should the federal budget deficits be affected by the business cycles, particularly during a recession?  Explain you answers.  

2. Are the real-world data consistent with the perspective of the automatic stabilizers during the recessions since the 1970s?  That is, does the number (T-G) become more negative during the recessions?  Explain your answer. 

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