Use finite differences to determine the degree of the polynomial that best describes the data

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Use finite differences to determine the degree of the polynomial that best describes the data

[From: ] [author: ] [Date: 12-01-09] [Hit: ]

..15...7.......

X=-2,-1,0,1,2,3
Y= 70, 35, 15, 7, 8, 15

Answer:________

-

y:.70...35...15...7...8...15
Δy:..-35..-20..-8...1...7
Δ²y:.....15...12...9...6
Δ³y:........-3...-3...-3

Since we don't get constant differences (no matter how trivially) until the third differences, the degree of the polynomial best describing the data is 3.

I hope this helps!

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