Hey guys

Im not that good in math so I have no Idea how i could solve the following problem:

Interpolate a 6th degree function that passes through the following seven points and calculate f(3.1) accurate to at least five decimal places:

X Y

1 27

2 23

3 -3

4 -9

5 14

6 24

7 -8

It would be really nice if someone can give me a step by step tutorial

The result for this case is -5.096852025, but its useless for me if I dont know how to solve it.

Greetz