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Unformatted text preview: d. (5 pts) Explain how these results compare and why. (3) (10 pts) Concentration data was taken at 15 time points for the polymerization reaction x A + y B → A x B y We assume the reaction occurs via a complex mechanism consisting of many steps. Several models have been hypothesized and the sum of the squares of the residuals had been calculated for the fits of the models of the data. The results are shown below. Which model best describes the data (statistically)? Explain your choice. Model A Model B Model C S r 135 90 72 Number of model parameters fit 2 3 6 (4) (10 pts) Find the maximum of z = f(x,y). Assume that the function varies smoothly between the contours. a. (5 pts) Sketch 3 iterations of the univariate method, beginning at (x ,y ) = (1,1). b. (5 pts) Sketch 3 iterations of the steepest ascent method, beginning at (x ,y ) = (1,1)....
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 Summer '07
 Gallivan
 Derivative, Least Squares, Regression Analysis

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