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

question 52

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.

---

Definitions:

Hydrogen Cyanide

A highly toxic and volatile chemical compound with the formula HCN, characterized by a distinctive bitter almond odor.

Hybridization

The concept in chemistry where atomic orbitals mix to form new hybrid orbitals, which are suitable for the pairing of electrons to form chemical bonds in molecular compounds.

Nitrogen Atom

A chemical element with the symbol N and atomic number 7, known for its role in the formation of amino acids, nucleic acids, and many other organic and inorganic compounds.

Negatively Skewed

A characteristic of a distribution where the tail on the left side of the distribution is longer or fatter than the right side, indicating that the bulk of the values lie to the right side.