Byers and Williams ("Viscosities of Binary and Ternary Mixtures of Polyaromatic Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349-354, 1987) studied the im- pact of temperature (the predictor) 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. Temperature (C) Viscosity (mPa - 24.9 1.133 35.0 44.9 55.1 65.2 75.2 85.2 95.2 0.9772 0.8532 0.7550 0.6723 0.6021 0.5420 0.5074 a) Plot a scatter diagram. Does it seem likely that a straight-line model will be adequate? b) Fir the straight-line model. Compute the summary statistics and the residual plots. What are your conclusions regarding linear model assumption? 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.