Data points $(x, y)$ are given.

(a) Draw a scatter plot of the data points.

(b) Make semilog and log-log plots of the data.

(c) Is a linear, power, or exponential function appropriate for modeling these data?

(d) Find an appropriate model for the data and then graph the model together with a scatter plot of the data.

$$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {2} & {4} & {6} & {8} & {10} & {12} \\ \hline y & {0.08} & {0.12} & {0.18} & {0.26} & {0.35} & {0.53} \\ \hline\end{array}$$

$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {0.5} & {1.0} & {1.5} & {2.0} & {2.5} & {3.0} \\ \hline y & {4.10} & {3.71} & {3.39} & {3.2} & {2.78} & {2.53} \\ \hline\end{array}$