An optimal (minimum-error) instruments calibration technique based on
the method of least squares and on correction with comparable argument
and function errors is described. Expressions are derived for calcula
ting linear regression coefficients and calibration errors. The proces
s of calibration when the instrument signals are nonlinear functions o
f the measured parameter and when the measurement error is different a
t different points of the measurement range is discussed. Calibration
of an instrument operating in an automatic control system for maximum
factory benefit is cited as an example.