Answer:
Cross sectional
Explanation:
In cross sectional studies the data of a population is studied and how one variable varies with another variable at set point in time. The data of the variables is collected in two points in time. How one variable affects the other variables in the other time is studied and the conclusions are drawn.
Here, the Professor has found that satisfaction of home life which was measured at the first time is strongly correlated with satisfaction of the job measured at the second time.
Hence, this is an example of cross sectional correlation.