a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? 51 of f12 91 using 2d order No uton divided difference

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CS
Given the table below, answer the following items:
a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why?
Find the approximate value of f(3.8) using 3rd order Newton divided difference
interpolation.
b)
c)
Obtain the "best-tit" model using 2nd order polynomial regression for the given Table.
0
1.3862944 1.7917595 1.6094379 1.0986123 0.4054641 0.9162907 1.2527630
5
3
1
4
6
1.5
2.5
3.5
F(x)
X
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Transcribed Image Text:CS Given the table below, answer the following items: a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? Find the approximate value of f(3.8) using 3rd order Newton divided difference interpolation. b) c) Obtain the "best-tit" model using 2nd order polynomial regression for the given Table. 0 1.3862944 1.7917595 1.6094379 1.0986123 0.4054641 0.9162907 1.2527630 5 3 1 4 6 1.5 2.5 3.5 F(x) X Scanned with CamScanner
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