Hsuie, Ma, and Tsai ("Separation and Characterizations of Thermotropic Copolyesters of $p$-Hydroxybenzoic Acid, Sebacic Acid, and Hydroquinone," Journal of Applied Polymer Science, 56, 471-476, 1995) study the effect of the molar ratio of sebacic acid (the regressor) on the intrinsic viscosity of copolyesters (the response). The following table gives the data.

a. Make a scatterplot of the data.

b. Estimate the prediction equation.

c. Perform a complete, appropriate analysis (statistical tests, calculation of $R^{2}$, and so forth).

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

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Ratio Viscosity 1.0 0.45 0.9 0.20 0.8 0.34 0.7 0.58 0.6 0.70 0.5 0.57 0.4 0.55 0.3 0.44