Provide an Appropriate Response $$\begin{array} { r | r r r r r r } \mathrm { x } & 2 & 4 & 6 & 9 & 10 & 12 \\\hline \mathrm { y } & 28 & 33 & 39 & 45 & 47 & 52\end{array}$$

Essay

Provide an appropriate response.
-A linear model is obtained for the following set of data. $$\begin{array} { r | r r r r r r } \mathrm { x } & 2 & 4 & 6 & 9 & 10 & 12 \\\hline \mathrm { y } & 28 & 33 & 39 & 45 & 47 & 52\end{array}$$ For what range of x-values would it be reasonable to use the model to predict the y-value corresponding to a
given x-value? Why?