An Investigation of the Influence of Sodium Benzoate Concentration on the Critical

question 4

Essay

An investigation of the influence of sodium benzoate concentration on the critical minimum pH necessary for the inhibition of Fe yielded the accompanying data, which suggests that expected critical minimum pH is linearly related to the natural logarithm of concentrate: $$\begin{array} { l c c c c } \hline \text { Concentration } & .01 & .025 & .1 & .95 \\\hline \mathrm { pH } & 5.1 & 5.5 & 6.1 & 7.3 \\\hline\end{array}$$
a. What is the implied probabilistic model, and what are the estimates of the model parameters?
b. What critical minimum pH would you predict for a concentration of 1.0? Obtain a 95% PI for critical minimum pH when concentration is 1.0.

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