An experiment is carried out to measure the resistivity, p, of nichrome as a function of temperature (measured in Celsius). The results are shown in table 3.1. Table 3.1 T: °C 20 25 30 35 40 45 50 p: N m × 10-7 9.137 8.913 8.665 8.528 8.242 8.203 7.972 (a) Determine the least squares linear fit to the data: p=mT+c (b) Use your model to calculate the resistivity, p, at T = 60 °C To assess the repeatability of the above experiment. The value of resistivity at 20 °C is measured 6 times resulting in the values in Table 3.2. Table 3.2 1 2 3 4 p: 2 m × 10-7 9.032 9.162 9.111 9.127 9.092 9.105 (c) Calculate the mean and standard deviation in the value of p.
An experiment is carried out to measure the resistivity, p, of nichrome as a function of temperature (measured in Celsius). The results are shown in table 3.1. Table 3.1 T: °C 20 25 30 35 40 45 50 p: N m × 10-7 9.137 8.913 8.665 8.528 8.242 8.203 7.972 (a) Determine the least squares linear fit to the data: p=mT+c (b) Use your model to calculate the resistivity, p, at T = 60 °C To assess the repeatability of the above experiment. The value of resistivity at 20 °C is measured 6 times resulting in the values in Table 3.2. Table 3.2 1 2 3 4 p: 2 m × 10-7 9.032 9.162 9.111 9.127 9.092 9.105 (c) Calculate the mean and standard deviation in the value of p.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:Question 3
An experiment is carried out to measure the resistivity, p, of nichrome as a function of
temperature (measured in Celsius). The results are shown in table 3.1.
Table 3.1
T: °C
20
25
30
35
40
45
50
p: N m × 10-7
9.137
8.913
8.665
8.528
8.242
8.203
7.972
(a) Determine the least squares linear fit to the data:
p=mT+c
(b) Use your model to calculate the resistivity, p, at T = 60 °C
To assess the repeatability of the above experiment. The value of resistivity at 20 °C is
measured 6 times resulting in the values in Table 3.2.
Table 3.2
n
1
2
3
4
5
p: N m × 10-7
9.032
9.162
9.111
9.127
9.092
9.105
(c) Calculate the mean and standard deviation in the value of p.
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