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I have asked before but I do not know how to do the least squares method. Can so

ID: 821577 • Letter: I

Question

I have asked before but I do not know how to do the least squares method. Can someone explain please.



To measure Ca in breakfast cereal, 0.521 6 g of crushed Cheerios was ashed in a crucible at 600C in air for 2 h.32 The residue was dissolved in 6 M HCl, quantitatively transferred to a volumetric flask, and diluted to 100.0 mL. Then 5.00-mL aliquots were transferred to 50-mL volumetric flasks. Each was treated with standard (containing 20 micrograms/ml ), diluted to volume with H2O , and analyzed by flame atomic absorption. Construct a standard addition graph and use the method of least squares to find the x-intercept and its uncertainty. Find wt% Ca in Cheerios and its uncertainty.



Ca2+ Standard Absorbance (mL) 0 0.151 1 0.185 3 247 5 0.3 8 0.388 10 0.445 15 0.572 20 0.723

Explanation / Answer

Final set of parameters Asymptotic Standard Error

======================= ==========================


m = 0.0281943 +/- 0.0003091 (1.096%)

c = 0.157869 +/- 0.003137 (1.987%)



correlation matrix of the fit parameters:


m c

m 1.000

c -0.764 1.000   

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