Now that the labor share of income number (business sector) has been released, I will have a series of updated graphs. The labor share number for 1Q-2013 was 94.7.
The first graph will be for the Natural rate of unemployment.
This is a plot of the UT index against the unemployment rate since 1967. You can see that for years the natural rate of unemployment was approximately 4.72% (the y-intercept of the trend line). Then after the crisis, the natural rate jumped up to the red line. We can see that the new natural rate of unemployment is trending in at 7.25%.
We are close to that now.