Assume that there is a linear relationship between the instrument reading and the concentration. (a) Use a spreadsheet to plot the data and include the least-squares line. (b) Compute the least-squares slope and intercept for the best straight line among the points. (c) Calculate the standard deviation for the slope and intercept of the least-squares line. (d) Obtain the concentration of sulfate in a sample yielding a turbidimeter reading of 3.67. Find the absolute standard deviation and the coefficient of variation. (e) Repeat the calculations in (d) assuming that the 3.67 was the mean of six turbidimeter readings.

MATLAB: An Introduction with Applications
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a1-22 The sulfate ion concentration in natural water can be determined by measuring the turbidity that results
when an excess of BaCl, is added to a measured quantity of the sample. A turbidimeter, the instrument
used for this analysis, was calibrated with a series of standard Na,SO, solutions. The following data were
obtained in the calibration:
Cw mg SO;-/L
Turbidimeter Reading, R
0.00
0.06
5.00
1.48
10.00
2.28
15.0
3.98
20.0
4.61
Transcribed Image Text:a1-22 The sulfate ion concentration in natural water can be determined by measuring the turbidity that results when an excess of BaCl, is added to a measured quantity of the sample. A turbidimeter, the instrument used for this analysis, was calibrated with a series of standard Na,SO, solutions. The following data were obtained in the calibration: Cw mg SO;-/L Turbidimeter Reading, R 0.00 0.06 5.00 1.48 10.00 2.28 15.0 3.98 20.0 4.61
Assume that there is a linear relationship between the instrument reading and the concentration.
(a) Use a spreadsheet to plot the data and include the least-squares line.
(b) Compute the least-squares slope and intercept for the best straight line among the points.
(c) Calculate the standard deviation for the slope and intercept of the least-squares line.
(d) Obtain the concentration of sulfate in a sample yielding a turbidimeter reading of 3.67. Find the
absolute standard deviation and the coefficient of variation.
(e) Repeat the calculations in (d) assuming that the 3.67 was the mean of six turbidimeter readings.
Transcribed Image Text:Assume that there is a linear relationship between the instrument reading and the concentration. (a) Use a spreadsheet to plot the data and include the least-squares line. (b) Compute the least-squares slope and intercept for the best straight line among the points. (c) Calculate the standard deviation for the slope and intercept of the least-squares line. (d) Obtain the concentration of sulfate in a sample yielding a turbidimeter reading of 3.67. Find the absolute standard deviation and the coefficient of variation. (e) Repeat the calculations in (d) assuming that the 3.67 was the mean of six turbidimeter readings.
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