The following are relative peak areas for chro- matograms of standard solutions of methyl vinyl ketone (MVK). Concentration MVK, mmol/L Relative Peak Area 0.500 3.76 1.50 9.16 2.50 15.03 3.50 20.42 4.50 25.33 5.50 31.97 (a) Determine the coefficients of the best-fit line us- ing the least-squares method. (b) Plot the least-squares line as well as the experi- mental points. (c) A sample containing MVK yielded relative peak area of 6.3. Calculate the concentration of MVK in the solution. (d) Assume that the result in part (c) represents a single measurement as well as the mean of four measurements. Calculate the respective absolute and relative standard deviations.
The following are relative peak areas for chro- matograms of standard solutions of methyl vinyl ketone (MVK). Concentration MVK, mmol/L Relative Peak Area 0.500 3.76 1.50 9.16 2.50 15.03 3.50 20.42 4.50 25.33 5.50 31.97 (a) Determine the coefficients of the best-fit line us- ing the least-squares method. (b) Plot the least-squares line as well as the experi- mental points. (c) A sample containing MVK yielded relative peak area of 6.3. Calculate the concentration of MVK in the solution. (d) Assume that the result in part (c) represents a single measurement as well as the mean of four measurements. Calculate the respective absolute and relative standard deviations.
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 31EQ
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