The article "Low-Temperature Heat Capacity and Thermodynamic Properties of 1,1,1-trifluoro-2,2-dichloroethane" (R. Varushchenko and A. Druzhinina, Fluid Phase Equilibria, 2002:109-119) describes an experiment in which samples of Freon R-123 were melted in a calorimeter. Various quantities of energy were supplied to the calorimeter for melting. The equilibrium melting temperatures (t) and fractions melted (f) were measured. The least-squares line was fit to the model t = β0 + β1(1/ f ) + ε, where 1/ f is the reciprocal fraction. The results of the fit are as follows.

a. Estimate the temperature at which half of the sample will melt (i.e., f = 1/2).
b. Can you determine the correlation coefficient between equilibrium temperature and reciprocal of the fraction melted from this output? If so, determine it. If not, explain what additional information is needed.
c. The triple-point temperature is the lowest temperature at which the whole sample will melt (i.e., f = 1). Estimate the triple-point temperature.

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The regression equation is Temperature 145.740.052 Reciprocal Frac Predictor Constant Recip Frac Coef 145.736 -0.05180 SE Coef 0.00848 0.00226 17190.1 22.906 0.000 0.000 S 0.019516 Analysis of Variance R-Sq -97.6% R-Sq ( adj) -97.4% MS 0.200 0.000381 DF ource egression 0.200 0.00495 0.205 524.70 0.000 Error 13 14 otal