Question

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Find a polynomial function to model the data.
https://gls.agilix.com/Resz/~Ey6YBAAAAAQrGKyXKpe7VB.R3U40xk3CvxC3GQbf0qpsD/19809086,C25/Assets/assessmentimages/alg2%20pt%201%20u4l1%204.jpg


f(x) = 4.17x4 – 1.21x3 + 2.53x2 + 26.79x – 148.35

f(x) = –4.17x4 + 1.21x3 – 2.53x2 – 26.79x + 148.35

f(x) = –4.17x5 + 1.21x3 – 2.53x2 – 26.79x + 148.35

f(x) = –4.17x3 + 1.21x2 – 2.53x + 148.35
@amistre64

Answer 1

hmm,well, when x=0 it would appear we want to have a value of 130 ... none of these give us that result. so i have to wonder what they are trying to accomplish

Answer 2

thats what i am confused on

Answer 3

umm...

Answer 4

is this algebra or stats?

Answer 5

algebra 2

Answer 6

there is a way to determine which function fits the best .... but none of them will provide an exact result

Answer 7

ok well i guess can you show me that way

Answer 8

minimize the errors .... given f(x) and some model g(x). the sum of (g-f) gives us a way to determine what has a bigger or smaller error rate, or something along those lines

Answer 9

its not a simple process that i can tell. has your material covered that approach?

Answer 10

no

Answer 11

my guess would be b without even doing calculations

Answer 12

a general plotting of the points ... that could work i spose

Answer 13

so would you guess b

Answer 14

so that would be a cubic model which means d

Answer 15

the general shape would give us a negative even function ... but of degree 6 or more

Answer 16

i dont think there is a good option without doing an error calculation

Answer 17

i just guessed and I got it right

Answer 18

the best kind of trial and error :)

Answer 19

subtract X from 4