Temperture?

Question

how can i

Create a quartic model of temperature using matrices?

I have five different temperatures of 75, 79 , 81, 80 , 76

Answer 1

| 1 1^2 1^3 1^4 1^5 | |a | | 75|

| 2 2^2 2^3 2^4 2^5 | |b | | 79|

| 3 3^2 3^3 3^4 3^5 |x|c|=|81|

| 4 4^2 4^3 4^4 4^5 | |d | | 80|

| 5 5^2 5^3 5^4 5^5 | |e | | 76|