Problem

The following data were obtained in calibrating a calcium ion electrode for the determinat...

The following data were obtained in calibrating a calcium ion electrode for the determination of pCa. A linear relationship between the potential and pCa is known to exist.

pCa = -log [Ca2+]

E, mV

5

-53.8

4

-27.7

3

+2.7

2

+31.9

1

+65.1

(a) Plot the data and draw a line through the points by eye.

*(b) Find the least-squares expression for the best straight line among the points. Plot this line.

(c) Do ANOVA and report the statistics given in the ANOVA table. Comment on the meaning of the ANOVA statistics.

*(d) Calculate the pCa of a serum solution in which the electrode potential was 15.3 mV. Find the absolute and relative standard deviations for pCa if the result was from a single voltage measurement.

(e) Find the absolute and relative standard deviations for pCa if the potential reading in (d) was the mean of two replicate measurements. Repeat the calculation based on the mean of eight measurements.

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