The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(#) 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 C D+ b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with S =E(Y -Y(X))² where S is the total squares error. c. Estimate the value of f(2.5) based on the results obtained in part (b).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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2.
The data below obtained from the experiment:
1.5
1.8
2.4
2.7
3.2
3.6
f(a) 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 + Dr
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
S =E( -Y(X.))
where S is the total squares error.
c. Estimate the value of f(2.5) based on the results obtained in part
(b).
Transcribed Image Text:2. The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(a) 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 + Dr 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 S =E( -Y(X.)) where S is the total squares error. c. Estimate the value of f(2.5) based on the results obtained in part (b).
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