CHBE 2120 Spring 2006 Exam 2

CHBE 2120 Spring 2006 Exam 2 - Which one is better? Why?...

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NAME__________________________ CHBE 2120A Professor Gallivan Exam 2 March 29, 2006 For any problem that requires an iterative method, perform two iterations. = = a c b d bc ad A d c b a A 1 1
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(1) (50 pts) Suppose you take this data in the lab by setting v and measuring w . v w 0.5 -0.1 1.3 2.2 1.6 5.1 a. Compute the statistics on w and its fluctuations (specifically, compute the sample mean and sample variance). b. Fit a function to the data of the form av w = using generalized linear least squares regression.
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c. Assess your fit. Is the correlation good? How confident can you be that a is different from zero?
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d. Repeat parts b. and c. for the fit 2 av w = . e. Compare the two fits.
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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 second-order-accurate finite difference formula using centered differences. You may assume that the data are equally spaced. (Hint: keep up to second-order terms in your expansions for a second-order 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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CHBE 2120 Spring 2006 Exam 2 - Which one is better? Why?...

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