**QUESTION**

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5.1 Byers and Williams ("Viscosities of Binary and Ternary Mixtures of Polyaromatic Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349-354, 1987) studied the impact of temperature (the regressor) on the viscosity (the response) of toluene-tetralin blends. The following table gives the data for blends with a 0.4 molar fraction of toluene. \begin{tabular}{lc} \hline Temperature $\left({ }^{\circ} \mathrm{C}\right)$ & Viscosity $(\mathrm{mPa} \cdot \mathrm{s})$ \\ \hline 24.9 & 1.133 \\ 35.0 & 0.9772 \\ 44.9 & 0.8532 \\ 55.1 & 0.7550 \\ 65.2 & 0.6723 \\ 75.2 & 0.6021 \\ 85.2 & 0.5420 \\ 95.2 & 0.5074 \\ \hline \end{tabular} a. Plot a scatter diagram. Does it seem likely that a straight-line model will be adequate? b. Fit the straight-line model. Compute the summary statistics and the residual plots. What are your conclusions regarding model adequacy? c. Basic principles of physical chemistry suggest that the viscosity is an exponential function of the temperature. Repeat part b using the appropriate transformation based on this information.