The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(x) | 0.7555 0.6206 0.5052 0.4812 0.4498 | 0.4337 This data can be fitted to the curve y = where C and D are C + Dx constants. a. Show that the curve above can be written as 1 D+ - b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with n S= ΣΥ-Y(X)? i=0 where S is the total squares error. c. Estimate the value of f(2.5) based on the results obtained in part (b).
The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(x) | 0.7555 0.6206 0.5052 0.4812 0.4498 | 0.4337 This data can be fitted to the curve y = where C and D are C + Dx constants. a. Show that the curve above can be written as 1 D+ - b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with n S= ΣΥ-Y(X)? i=0 where S is the total squares error. c. Estimate the value of f(2.5) based on the results obtained in part (b).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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