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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 6 p: N m × 107 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 n 1 2 3 4 6 p: N m × 107 9.032 9.162 9.111 9.127 9.092 9.105 (c) Calculate the mean and standard deviation in the value of p.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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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: 2 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 2 4 6 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.
Transcribed Image Text: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: 2 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 2 4 6 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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