The following diffusion coefficients are are obtained from an experimental setup. The data is fitted to to an empirical model. The model predicts values as presented in the last column. Estimate what the accuracy of he model is by calculating the standard error Se to 3 decimal places: (answer must be in exponential form Temperature (°C) DExperimental (m-Is) DModel (m2/s) 100 1.1 x 10-10 10-10 1.17 x 200 2.12 x 10-10 2.29 x 10-10 300 3.13 x 10-10 3.24 x 10-10 400 4.05 x 10-10 4.04 x 10-10 500 5.04 x 10-10 5.24 x 10-10 600 6.22 x 10-10 6.04 x 10-10 700 7 23 x 10-10 7.15 x 10-10 800 8.3x 10-10 8.45 x 10-10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The following diffusion coefficients are are obtained from an experimental setup. The data is fitted to to an
empirical model. The model predicts values as presented in the last column. Estimate what the accuracy of
the model is by calculating the standard error Se to 3 decimal places: (answer must be in exponential form
Temperature (°C) DExperimental (m-Is)
DModel (m21s)
100
1.1 x 10-10
1.17 x 10-10
200
2.12 x 10-10
2.29 x 10-10
300
3.13 x 10-10
3.24 x 10-10
400
4.05 x 10-10
4.04 x
«10-10
500
5.04 x 10-10
5.24 x 10-10
600
6.22 x 10-10
6.04 x 10-10
700
7 23 x 10-10
7.15 x 10-10
800
8.3x 10-10
8.45 x 10-10
Transcribed Image Text:The following diffusion coefficients are are obtained from an experimental setup. The data is fitted to to an empirical model. The model predicts values as presented in the last column. Estimate what the accuracy of the model is by calculating the standard error Se to 3 decimal places: (answer must be in exponential form Temperature (°C) DExperimental (m-Is) DModel (m21s) 100 1.1 x 10-10 1.17 x 10-10 200 2.12 x 10-10 2.29 x 10-10 300 3.13 x 10-10 3.24 x 10-10 400 4.05 x 10-10 4.04 x «10-10 500 5.04 x 10-10 5.24 x 10-10 600 6.22 x 10-10 6.04 x 10-10 700 7 23 x 10-10 7.15 x 10-10 800 8.3x 10-10 8.45 x 10-10
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