Use differences to find the degree of a polynomial fitting the data. Then use a system of equations to determine the polynomial model. Round to two decimal places where necessary. 1 2 4 5 6 7 8 P(x) -20 -39 -66-101-144-195 -254-321 A linear model fits the given data best, and its equation is: A quadratic model fits the given data best, and its equation is: [ A cubic model fits the given data best, and its equation is: [ A quartic model fits the given data best, and its equation is: [ x+ x² + x² +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Polynomial Function
Use differences to find the degree of a polynomial fitting the data. Then use a system of equations to determine the polynomial model.
Round to two decimal places where necessary.
2
3
4
5
6
7
8
P(x) -20 -39 -66 -101 -144 -195 -254-321
A linear model fits the given data best, and its equation is:
A quadratic model fits the given data best, and its equation is:
A cubic model fits the given data best, and its equation is:
A quartic model fits the given data best, and its equation is:
x³ +
x++
x² +
x+
Transcribed Image Text:Use differences to find the degree of a polynomial fitting the data. Then use a system of equations to determine the polynomial model. Round to two decimal places where necessary. 2 3 4 5 6 7 8 P(x) -20 -39 -66 -101 -144 -195 -254-321 A linear model fits the given data best, and its equation is: A quadratic model fits the given data best, and its equation is: A cubic model fits the given data best, and its equation is: A quartic model fits the given data best, and its equation is: x³ + x++ x² + x+
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