solve iii

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 57EQ
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solve iii

The student collected the following data he prepared solutions ranging from 0.000 to 0.500 ppm and measured the
instrumental reading corresponding to each of the solutions prepared:
yi
0.000
0.00
0.100
12.36
0.200
24.83
0.300
35.91
0.400
48.79
0.500
60.42
i)
Use the method of least squares to calculate the equation of the best straight line going through these
points
ii) Calculate the amount of unknown in your sample if the unknown reading is 40.35
iii) If blank standard deviation was 0.014. Calculate:
1. LOD,
2. LOQ,
3. Sensitivity
Transcribed Image Text:The student collected the following data he prepared solutions ranging from 0.000 to 0.500 ppm and measured the instrumental reading corresponding to each of the solutions prepared: yi 0.000 0.00 0.100 12.36 0.200 24.83 0.300 35.91 0.400 48.79 0.500 60.42 i) Use the method of least squares to calculate the equation of the best straight line going through these points ii) Calculate the amount of unknown in your sample if the unknown reading is 40.35 iii) If blank standard deviation was 0.014. Calculate: 1. LOD, 2. LOQ, 3. Sensitivity
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