Researchers at the Upjohn Company utilized multiple regression analysis in the development of sustained-release tablet. One of the objectives of the research was to develop a model relating the dissolution y of a tablet (i.e., the percentage of the tablet dissolved over a specified period of time) to the following independent variables:
x 1 = Excipient level (i.e., amount of non drug ingredient in the tablet)
x 2 = Process variable (e.g., machine setting under which tablet is processed)
(a) Write the complete second-order model for E(y).
(b) Write a model that hypothesizes straightline relationships between E(y), x l . and x 2 .Assume that x 1 and x 2 do not interact.
(c) Repeat part b, but add interaction to the model.
(d) For the model in part c. what is the slope of the E(y), x 1 line for fixed x 2 ?
(e) For the model in part c, what is the slope of the E(y), x 2 line for fixed x 1 ?
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