Byers and Williams ("Viscosities of Binary and Ternary Mixtures of Polynomatic Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349-354, 1987) studied the impact of temperature on the viscosity of toluenetetralin blends. The following table gives the data for blends with a 0.4 molar fraction of toluene.

a. Estimate the prediction equation.

b. Perform a complete analysis of the model.

c. Calculate and plot the $95 %$ confidence and prediction bands.

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Temperature (C) Viscosity (mPas) 24.9 1.1330 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