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This assignment is designed to compare performance between Matlab and Excel for performing nonlinear regression analysis of a set of data. There are two data sets in the accompanying Excel spreadsheet, the cell migration data, and a noisy sine wave. The first set was collected by Dr. Cho, and represents the X and Y coordinates of a cell as it migrates across a substrate in culture. Your job is to find an equation that describes the position of the cell as a function of time. Use a polynomial of the lowest order possible such that R2(r squared)> 0.95. Do this in Excel and in Matlab, and hand in both plots along with your equations and R2(r squared)values for each determination.
Also fit a polynomial to the noisy sine wave. Find the polynomial of lowest order such that R2(r squared)> 0.95. Do this with both Excel and Matlab.Hand in all four plots, all four equations, and all four R2values, on no more than two sheets of paper.
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In each of the following cases, compute 95 percent, 98 percent, and 99 percent confidence intervals for the population proportion p. p=.1, n=30, p = .1, n = 100, p = .5, n = 50, p
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