Exercise 14.23 describes an experiment involving the extraction of polyethylene through use of a solvent.(a) Do a different sort of analysis on the data. Fit an appropriate regression model with a solvent categorical variable, a temperature term, a time term, and a temperature by time interaction, a solvent by temperature interaction, and a solvent by time interaction. Do f-tests on all coefficients and report your findings.(b) Do your findings suggest that different models are appropriate for ethanol and toluene or are they equivalent apart from the intercepts? Explain.(c) Do you find any conclusions here that contradict conclusions drawn in your solution of Exercise 14.23?Explain.

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Time Solvent Temp. Ethanot 120 94.0, 94.0 93.8. 94.2 91.1, 90.5 16 95.3, 95.1 94.9. 95.3 92.5. 92.4 80 120 94.6, 94.5 93.6. 94.1 |91.1, 91.0 Toluene 95.4, 95.4 |95.6, 960 |92.1. 92.1 80