Question

The data below represents the bacterial growth in a liquid culture over a number of days.

Day	0	4	8	12	16	20
Amount ×106	67	84	98	125	149	185

Find a best-fit equation to the above data trend using polynomial regression with parabolic model given as:

? = ?_? + ?₁? + ?₂?²

After calculating the values of a_o, a₁, and a₂, substitute these values in the above parabolic model. Plot the given data and the obtained parabolic model in the same plot area. Then predict the amount of bacteria after 35 days. Also find standard deviation S_y, standard error of the estimate S_y/x, and correlation coefficient r.

**don't use software for solving ,unless for plotting.

Answer 1