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You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T+ ao Using the method and equations we discussed in class, find the coefficients a, and a, for the best fit regression line.

You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T+ ao Using the method and equations we discussed in class, find the coefficients a, and a, for the best fit regression line.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part A: You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T + ao Using the method and equations we discussed in class, find the coefficients a, and a for the best fit regression line.
Transcribed Image Text:Part A: You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T + ao Using the method and equations we discussed in class, find the coefficients a, and a for the best fit regression line.
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