Generate the expression describing the temperature behavior for X=6, by Newton's polynomial. I had a doubt about how to do it, so far I have worked with least squares (linear regression and polynomial regression). But I still could not get the expression, I hope you can help me.

Generate the expression describing the temperature behavior for X=6, by Newton's polynomial. I had a doubt about how to do it, so far I have worked with least squares (linear regression and polynomial regression). But I still could not get the expression, I hope you can help me.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Generate the expression describing the temperature behavior for X=6, by Newton's polynomial.

I had a doubt about how to do it, so far I have worked with least squares (linear regression and polynomial regression). But I still could not get the expression, I hope you can help me.

Y=0
Y=2
Y=4
Y=6
Y=8
X=0
100
85
70
55
40
X=2
90
64.49
48.9
38.78
35
X=4
80
53.5
38.43
30.39
30
X=6
70
48.15
35.03
27.07
25
X=8
60
50
40
30
20

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