# hw_11 - Name(s(up to four students per homework set Due In...

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Due: In class, Friday April 25, 2008 Name(s) (up to four students per homework set) : Section number(s) 1. 2. 3. 4. For instructor or TA use only: Problem Score Points 1 15 2 10 3 15 4 10 5 10 6 15 7 15 8 10 M E 345 Spring Semester, 2008 Homework Set # 11 Professor J. M. Cimbala Total: 100 1 . (15 pts) It was mentioned in class that thermocouple voltage is nearly linear, but not exactly linear with temperature. (This is why we need thermocouple tables in the first place!) However, over a small range of temperature, the output voltage of a thermocouple can be approximated as linear without much loss of accuracy. Consider, for example, a type K thermocouple that operates in a temperature range from 20 o C to 100 o C. Our brief thermocouple table provides five data points in this temperature range. ( a ) Perform a linear regression analysis on temperature T as a function of output voltage V over this range of temperatures. ( Note : In Excel, set Variable X as the voltage, and Variable Y as the temperature – do not do it backwards.) What is the value of the linear correlation coefficient? Write an equation for the best fit (least-squares) straight line ( T as a function of V ).

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hw_11 - Name(s(up to four students per homework set Due In...

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