Consider the Data Below $$\begin{array} { | c | c | c | c | c | c | c | } \hline t & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 2.4 & 19 & 64 & 152 & 295 & 510 \\\hline\end{array}$$

Essay

Consider the data below:
$$\begin{array} { | c | c | c | c | c | c | c | } \hline t & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 2.4 & 19 & 64 & 152 & 295 & 510 \\\hline\end{array}$$
(a) Fit both an exponential curve and a third-degree polynomial to the data.(b) Which of the models appears to be a better fit? Defend your choice.