In an experiment to describe the toxic action of a certain chemical on silkworm larvae, the relationship of log₁₀ dose and log₁₀ larva weight to log₁₀ survival time was sought. The data, obtained by feeding each larva a precisely measured dose of the chemical in an aqueous solution and then recording the survival time (i.e., time until death), are given in the following table. Relevant computer results are also provided.

a. Compute R² for each of the three models. Which independent variable appears to be the single best predictor of survival time?

b. Which model involving one or both of the independent variables do you prefer? Why?

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Larva 1 2 4 5 8. 2.421 2.602 log1o survival time (Y) log1o dose (X,) log1o weight (X,) 2.836 2.966 2.687 2.679 2.827 2.442 0.150 0.214 0.487 0.509 0.570 0.593 0.640 0.781 0.425 0.439 0.301 0.325 0.371 0.093 0.140 0.406 Larva 10 11 12 13 14 15 2.556 2.439 2.385 2.452 2.351 log10 survival time (Y) log10 dose (X,) logio weight (X,) 2.441 2.420 0.739 0.832 0.865 0.904 0.942 1.090 1.194 0.364 0.156 0.247 0.278 0.141 0.289 0.193 3.