Question\begin{tabular}{|l|c|c|} \hline Time Line & Price(dollars) & Average rate of change \\ \hline 1970 & $\$ 0.20$ & $X X X X X X X X X X X X X$ \\ \hline 1980 & $\$ 0.50$ & 0.03 \\ \hline 2003 & $\$ 2.00$ & 0.0652 \\ \hline 2009 & $\$ 2.25$ & 0.0417 \\ \hline 2013 & $\$ 2.50$ & 0.0625 \\ \hline 2015 & $\$ 2.75$ & 0.125 \\ \hline \end{tabular}
Do these values suggest a linear trend? Explain. The average rates of change do not suggest a linear because their is no direct relation independent variable (time in years) and the dependent variable (cost in dollars).
Step 5: Linear Modeling (6 pts)
Assuming that the trend is linear, generate a linear model. To make the calculation easier, rescale the time values for 2009 through 2015 in the above table.
Let 2009 be the year 0 . \begin{tabular}{|c|c|} \hline t & P ( dollars) \\ \hline 0 & \\ \hline & \\ \hline & \\ \hline \end{tabular}