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Solve the Problem A) (A) y=5.4215x27.1512x+15.768y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768

Question 72

Multiple Choice

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.
 Hour 01234567 Biomass 7.416.731.149.276.8122.0179.5263.3\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=5.4215x27.1512x+15.768y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768
(b) 486.406486.406

B) (a) y=5.7661x28.1557x+13.284y = 5.7661 x ^ { 2 } - 8.1557 x + 13.284
(b) 508.337508.337

C) (a) y=4.5432x2+6.8417x+19.925y = 4.5432 x ^ { 2 } + 6.8417 x + 19.925
(b) 542.662542.662

D) (a) y=5.9631x27.1512x+13.925y = 5.9631 x ^ { 2 } - 7.1512 x + 13.925
(b) 538.723538.723

Correct Answer:

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