A new method is given for determining a monitored parameter from a sel
ected pair of correlated signals, with reference to distinguishing coa
l from rock. Radical improvements can be obtained in accuracy and reli
ability if the spread ellipses for the signal pair residues for a cons
tant value of the monitored parameter are highly elongated and are inc
lined at almost a right angle to the projection of the calibration cur
ve on the signal plane. It is shown that in favorable cases one can re
duce the error by thousands of orders in distinguishing coal from rock
by using a pair of signals.