Solve the Problem A) (A) $y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768$

Solve the problem.
-The table shows the amount of yeast cells (measured as biomass) growing over a 7 -hour period in a nutrient. (a) Find a regression quadratic for the data. (b) Use the regression quadratic to predict the biomass of yeast in the nutrient after 10 hours.
$\begin{array}{l|cccccccc}\text { Hour } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Biomass } & 7.4 & 16.7 & 31.1 & 49.2 & 76.8 & 122.0 & 179.5 & 263.3\end{array}$

A) (a) $y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768$
(b) $486.406$

B) (a) $y = 5.7661 x ^ { 2 } - 8.1557 x + 13.284$
(b) $508.337$

C) (a) $y = 4.5432 x ^ { 2 } + 6.8417 x + 19.925$
(b) $542.662$

D) (a) $y = 5.9631 x ^ { 2 } - 7.1512 x + 13.925$
(b) $538.723$