Question: Given the following data

Y         11          13           14          10           11          12          15          10           9             15

X          1            2              3            4             5            6             7            8            9             10 

What would happen if a ninth-degree polynomial model were fit to the data? Use a statistical software program to do this after first setting the tolerance at the smallest possible value. Now construct a scatter plot of the data (which, of course, would usually be done first). What model does your plot suggest should be used? What is the moral that is to be learned from this exercise?