Question

HELP!!!!!!!

Differentiate which of the following models best fits the data. (-2,-11), (0,-3), (1,-2), (3,-6), (5,-18)
f(x) = – x2+ 2x - 3
f(x) = x + 0.5
f(x) = - x3 + x + 1
f(x) = (2)x

Answer 1

see attached plot of the data, the model best-fit them is: f(x) = – x2+ 2x - 3

Answer 2

Substituting the data points into the model:

f(x)= -x2 + 2x -3

f(-2)=-11

f(0)=-3

f(1)=-2

f(3)=-6

f(5)=-18

So A is the right ans.