a) Write a power regression equation for this set of data, rounding all values to three decimal place.

Question

The table below shows the results of an experiment involving the growth of bacteria.

Time (x) (in minutes)	1	3	5	7	9	11
Number of Bacteria (y)	2	25	81	175	310	497

a) Write a power regression equation for this set of data, rounding all values to three decimal place.



b) Using this equation, predict the bacteria's growth, to the nearest integer, after 15 minutes. Please indicate your answer using y =.

Answer 1

Using the stat plot routine on a TI calculator, the formula is

y = 5.59x^2 - 19.75x + 37.5

For 15 minutes, the number of bacteria is 999 bacteria.