Question (Least Squares Regression) :
The data below represents the bacterial growth in a liquid culture over a number of days.
Day | 0 | 4 | 8 | 12 | 16 | 20
Amount * 10^6 | 67 | 84 | 98 | 125 | 149 | 185
Find a best-fit equation to the data trend. Try several possibilities linear, parabolic, and exponential. Find the best equation to predict the amount of bacteria after 40 days.