We need to calibrate a diaphragm for a pressure transducer. For this, we subject the diaphragm to some known pressure differentials (DP) and we measure the deflection at the center (yc) with a micrometer. These measurements are shown on the table below. yc (µm)          0     79.8      159.2        240.1         320.2 DP (MPa)       0      5            10            15               20 a) Find the best linear fit to the measured data in terms of DP as a function of yc. That is, DP in the y-axis and yc in the x-axis. This will be your calibration equation/curve. No need to convert units. b) Find the uncertainty of this fit for a 95% probability.

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We need to calibrate a diaphragm for a pressure transducer. For this, we subject the diaphragm to some known pressure differentials (DP) and we measure the deflection at the center (yc) with a micrometer. These measurements are shown on the table below.

yc (µm)          0     79.8      159.2        240.1         320.2
DP (MPa)       0      5            10            15               20

a) Find the best linear fit to the measured data in terms of DP as a function of yc. That is, DP in the y-axis and yc in the x-axis. This will be your calibration equation/curve. No need to convert units.

b) Find the uncertainty of this fit for a 95% probability.

 

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