Suppose the IQ Scores $( y$ , Rounded to the Nearest $10 )$

Suppose the IQ scores $( y$ , rounded to the nearest $10 )$ for a group of people are summarized in the table below. Use the regression feature of a graphing utility to find a quadratic function of the form $y = a x ^ { 2 } + b x + c$ for the data.
$\begin{array}{|c|c|}\hline \text { IQ Score } & \text { Number of People } \\\hline \boldsymbol{y} & \boldsymbol{x} \\\hline 70 & 53 \\\hline 80 & 72 \\\hline 90 & 93 \\\hline 100 & 90 \\\hline 110 & 78 \\\hline 120 & 47 \\\hline 130 & 16 \\\hline\end{array}$

A) $y = - 0.04 x ^ { 2 } + 14.93 x - 404.96$
B) $y = - 0.06 x ^ { 2 } + 11.94 x - 476.43$
C) $y = - 0.08 x ^ { 2 } + 10.87 x - 500.25$
D) $y = - 0.07 x ^ { 2 } + 13.5 x - 452.61$
E) $y = - 0.09 x ^ { 2 } + 8.48 x - 547.89$