C.36.RP:5.1 - A replacement sensor and a changed interpretation

The following is a constructed laboratory case. A group infers position q from a sensor indication r under a linear working account. The earlier device has reference readings q=0, r=2 and q=1, r=5. They give r=3q+2, so indication 14 corresponds to position 4.

A replacement device has available reference readings q=0, r=4 and q=2, r=10. A saved notebook still returns 4 for indication 14. The group needs the method that relates a device’s indication to position.

The missing contribution is the replacement device’s relation. A technician supplies its reference readings and conditions. An AI obtains the slope (10-4)/(2-0)=3 and intercept 4. An engineer connects the resulting equation r=3q+4 to the device and infers q=(14-4)/3=10/3. The saved answer changes because the physical interpretation changed.

The group retains the two-point construction with its device and reference meanings and an obtainable way to perform each contribution. The technician need not derive every formula independently; the receiving engineer needs to recognize which device and account the formula concerns. The linear relation is a working assumption: two points determine its coefficients but leave empirical adequacy across a wider range open.

A later question about another range can use that retained construction to ask where the linear account is usable or what further account is needed. The current case finishes at the interpreted conditional position result; a new inquiry depends on the use that needs it.