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QUESTION

A thermocouple is a sensor used for measuring temperature. It is made by joining two wires made from dissimilar materials. To measure temperature,...

A thermocouple is a sensor used for measuring temperature. It is made by joining two wires made from dissimilar materials. To measure temperature, two thermocouples are connected in a circuit. One thermocouple is placed in a medium with known constant temperature ???? (e.g. ice water), and the other is placed where the temperature ? is to be measured. A voltage v is generated when the two temperatures are not the same. The voltage v can be modeled as a function temperature by an expression of the form: ? = ??(? −????)where ?? is a constant that depends on the two materials that are used for the thermocouple. Using the following data and linear regression, determine the value of ?? (NOTE that this variable is the slope of the equation). Also, plot the original data with the determined linear function and find the approximate value of v when T = 240.56. You can find the approximate value two different ways but the results will be slightly different (you will only notice it if you go to format long).

T (Celsius) 25, 100, 200 ,300 400, 500 ,600 ,700

v (mV) 1.11, 4.03 ,8.16 ,12.62 ,16.54, 20.90, 23.7 ,29.15

Matlab help

How to read the table: when T is 25, v equals 1.11 ,etc.

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