From a set of streptonignic dose-response data, an experimenter desires to develop a relationship between the proportions of lymphoblasts sampled that contain aberrations and the dosage of streptonignic. Five dosage levels were applied to the rabbits used for the experiment. The data are See Myers, 1990, in the bibliography.

(a) Fit a logistic regression to the data set and thus estimate β₀ and β₁ in the model P = 1 / 1 + e^- (β₀ + β_1x)' where n is the number of lymphoblasts, x is the dose, and p is the probability of an aberration.

(b) Show results of x²-tests revealing the significance of the regression coefficients 0o and 3.

(c) Estimate the ED50 and give interpretation.

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Number of Number with Aberrations Dose (mg/kg) Lymphoblasts 600 500 600 300 300 15 96 187 30 60 75 100 145 90