A linear calibration slope must come from checked standards. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two standards define the training slope

Standard 2 gives signal 4; standard 6 gives signal 12.

m=2m=2
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown

The inverse result is fixed by the same slope

The slope is 2. Unknown signal 10 gives calibrated value 5.

10/2=510/2=5
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown