Unfortunately this data only goes back to 1992 and includes only two previous recessions (the stock / tech bust in 2001, and the 2007-2009 housing bust/financial crisis). Clearly education matters with regards to the unemployment rate.
Note: There was a data error in the original post in the Bachelors Degree series. This has been fixed.
Click on graph for larger image.Note: This says nothing about the quality of jobs - as an example, a college graduate working at minimum wage would be considered "employed".
The 'Less than a High School Diploma, 25 yrs. & over' unemployment rate increased from 5.7% in February to 6.8% in March to 21.2% in April.
The 'High School Graduates, No College, 25 yrs. & over' unemployment rate increased from 3.6% in February to 4.4% in March to 17.3% in April.
The 'Some College or Associate Degree, 25 yrs. & over' unemployment rate increased from 3.0% in February to 3.7% in March to 15.0% in April.
The 'Bachelors degree and higher, 25 yrs. & over' unemployment rate increased from 1.9% in February to 2.5% in March to 8.4% in April.