HW6_F11 - b) Plot out the model AND the data using Matlab!!...

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Homework 6 Geog210a Due: Wednesday November 9, 2011 Text Problems : 9.7.3*, 9.7.5*, 9.7.6*, 12.5.1, 12.5.3, 12.5.7, 12.5.9, 12.5.10, 12.5.11, 12.5.15, 12.6.1, 12.6.5 *Also, plot out the data and the linear fit line using Matlab and calculate hindcast skill. DV Problems : 1. Waldo, the royal cartographer of the Kingdom of Wazoo, has asked you fit transect elevation data to a one-dimensional function, of his specification, of the form, h mod (x) = A * cos(2*pi*x/65) + B * x where x is distance along the transect (km), h is elevation (m) above a central datum and h mod (x) is Waldo’s model for the data. The constants A and B are for you to determine. a) Derive FROM FIRST PRINCIPLES a least squares estimation scheme for this problem and use the data in the table to solve for the constants A and B by hand (it should be 2 equations and 2 unknowns and even I can do that).
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Unformatted text preview: b) Plot out the model AND the data using Matlab!! c) Determine the mean square error and the hindcast skill for this model (Hindcast Skill = (variance_in_h - mean_square_error)/variance_in_h). How good is Waldo's intuition? Is the model appropriate? Why/Why not? Elevation data: x (km) 5 15 37 82 105 h (m) 14.9 9.2 5.8 40.0 42.0 2. Help the lazy professor write your final. Write an instructive, yet creative, question that you think that someone should be able to complete in less than 20 minutes. Discuss what points covered in class are used in your question and address how you will examine them. Give a complete answer for the question. Remember use only material covered in this homework. Present the question and its answer on a single, separate sheet of paper....
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