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 (leastsquares) straight line (
T
as a function
of
V
).
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 Spring '08
 staff
 Frequency, Rotation, Vo Vout

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