Question

In: Physics

When calibrating a temperature sensor using a precise reference instrument, the following relationship is obtained between...

When calibrating a temperature sensor using a precise reference instrument, the following relationship is obtained between reference temperature T (degrees C) and sensor value Y (mV).
T (C) Y (mV)

100      33.14269
110      42.69237
120      53.37345
130      65.13426
140      78.14743
150      92.02897
160     107.12636
170     123.26571
180     140.52200
190     158.85228
200     178.16609

Estimate the parameters b0, b1, b2 for the square regression curve y = b0 + b1 T + b 2 T ²

Expert Solution

The equation:

The parameters are given by the system of equations:

Data:

We will solve the above system of equations using cramers rule.

Therefore, using cramers rule,

Therefore the equation:

genius_generous answered 3 years ago

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