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Unformatted text preview: Which one is better? Why? (2) (30 pts) Derive the formula for the first derivative of a function using the finite difference method. Specifically, derive the secondorderaccurate finite difference formula using centered differences. You may assume that the data are equally spaced. (Hint: keep up to secondorder terms in your expansions for a secondorder formula.) (3) (20 pts) When one uses coded variables in design of experiments, there are specific properties of the data that are convenient for regression. Specifically, the dot product between columns of Z are zero. Describe why this happens, and why this is a desirable feature....
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 Summer '07
 Gallivan

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