Table Given Below Shows the Consumer Price Index (CPI) for Selected

Table given below shows the Consumer Price Index (CPI) for selected years. Use the regression capabilities of a graphing utility to find a mathematical model of the form $y = a t ^ { 2 } + b t + c$ for the data. In the model, $y$ represents the CPI and $t$ represents the year, with $t = 5$ corresponding to 1975 . Round all numerical values in your answer to three decimal places.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { ear } & 975 & 980 & 985 & 990 & 995 & 000 & 005 \\\hline \text { PI } & 7.8 & 0.6 & 03.6 & 30.7 & 52.4 & 70.5 & 92.5 \\\hline\end{array}$

A) $y = - 0.019 t ^ { 2 } + 5.268 t + 30.871$
B) $y = - 0.019 t ^ { 2 } - 5.957 t + 30.871$
C) $y = - 0.016 t ^ { 2 } - 5.957 t - 30.871$
D) $y = - 0.019 t ^ { 2 } + 5.957 t + 40.871$
E) $y = - 0.016 t ^ { 2 } + 5.268 t + 40.871$