PGE 310 - HW8 - The University of Texas at Austin PGE 310:...

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1 The University of Texas at Austin PGE 310: Formulation and Solution in Geosystems Engineering Homework #8: Curve Fitting and Interpolation Due Date: Thursday November 11 th 2010 1. Curve Fitting: (By HAND) A graduate student is looking for an analytical equation that can describe his lab data the best. In his experimental tests, he is changing parameter x, which can be something like the temperature of the test, and he is measuring parameter y, which can be something like the stress in the specimens. After investigation of different types of equations, he has come up with 4 final choices as follows: a) 1 1 b x a y b) x b e a y 2 2 c) 3 3 b x a y d) x b x a y 4 4 Here is a good sample of his measured data:    355 . 3 577 . 3 050 . 3 760 . 2 20 15 10 5 y x Based on this sample data help him to find which equation fits better to the data. Use linearization and find the coefficients of the fitted curve for each type of equations. Then compare these four types of equations based on the r S and 2 r values. You should do this problem by HAND. You may use EXCEL to make your calculations easy and faster, but you are not supposed to use curve fitting feature of EXCEL. Show all your work clearly.
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This note was uploaded on 11/10/2010 for the course PGE 323K taught by Professor Lake during the Spring '08 term at University of Texas at Austin.

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PGE 310 - HW8 - The University of Texas at Austin PGE 310:...

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