The data below obtained from the experiment: 3.6 f (x)| 0.7555 | 0.6206 | 0.5052 0.4812 | 0.4498 0.4337 1.5 1.8 2.4 2.7 3.2 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 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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 andD are
C + Dx
constants.
1
C
a. Show that the curve above can be written as
D+
b. Hence, by using the least squares linearization process, determine
the value of C and D. Start your calculation with
S =(Y; – 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
(Ъ).
2.
Transcribed Image Text: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 andD are C + Dx constants. 1 C a. Show that the curve above can be written as D+ b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with S =(Y; – 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 (Ъ). 2.
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