Eli Lilly and Company has developed three methods (G, R 1 , and R 2 ) for

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Eli Lilly and Company has developed three methods (G, R1, and R2) for estimating the shelf life of its drug products based on the potency of the drug.* One way to compare the three methods is to build a regression model for the dependent variable, estimated shelf life y (as a percent of true shelf life), with potency of the drug (x1) as a quantitative predictor and method as a qualitative predictor.

a. Write a first-order, main effects model for E(y) as a function of potency (x1) and method. 

b. Interpret the β coefficients of the model, part a.

c. Write a first-order model for E(y) that will allow the slopes to differ for the three methods.

d. Refer to part c. For each method, write the slope of the y–x1 line in terms of the β’s.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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