A single-scale, single-drive coordinate measuring machine that compensates for hysteresis error caused by friction at the non-driven end of the bridge. The coordinate measuring machine is calibrated to estimate hysteresis effects at one or more distances from the scale. Measurements of workpieces are adjusted based on the calibration data and the distances of the carriage from the scale at the point of the measurements. The scale and the drive system may be positioned on opposite guideways.