So there are some issues with the regression. A California middle school teacher developed group of lessons exploring exponential growth as compared to linear growth. Each is accompanied by a student worksheet. Using the motivating problem of predicting the record times for running the mile, it guides students through exponential curve fitting on various data sets before applying the techniques to the mile. When he is done, the world ends.
Students use exponential regression to determine fair used car prices.
Better for a large scale project than an in class lesson. Some are, expectedly, quite complicated.