# Choose support for polynomial interpolation

I have the following table, where $t$ is defined in minutes and $v(t)$ in $m / s$:

\begin{array}{|c|c|c|c|} \hline t& 0 & 0.5 & 1 & 1.5 & 2 & 2.5 & 3 \\ \hline v(t) & 100 & 160 & 135 & 100 & 120 & 95 & 115\\ \hline \end{array}

the question is:

What supports would you take to control the behavior at 45 seconds (t = 0.75)?

I think that the following supports should be taken but I do not know if I am right:

\begin{array}{|c|c|c|c|} \hline t& 0 & 0.5 & 1 & 1.5 \\ \hline v(t) & 100 & 160 & 135 & 100\\ \hline \end{array}

Does the runge effect affect this issue?

• What do you mean by supports? – Moo Jun 3 '18 at 22:32
• @Moo each t and his v(t) of the table. – postgresqlx12 Jun 3 '18 at 22:35