Could someone help me with the folowing question please

Using the following data:

Write down the system of linear equations with

a1.......a11 as unknowns such that

f(xj) =yj, 1<=j <=11. Please write all powers asz^b.

Solution:

Would it be written as

f(0.540)= a1+a2(0.467)+a3(0.467)^2..... ?

And do that for all values of X and y?

Im just confused on what the question is exactly asking and how to contruct the system with z^b