"Errors are recalculated every Monday, so after correcting an error, it will disappear on Monday."
This is a true and correct statement. Whether you set the status of the error or not, if the error is corrected, it will disappear on Monday. Setting the status is helpful for Data Doctors, but not required to clear an error. ( I am merely attempting to be precise :-) )
The error report is not a good place for a full explanation for how to correct errors and set the status, however, it would be a good place for a link to this information which I would love to recommend.