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'Back Fitter' printed from https://nrich.maths.org/
Start by looking for data which can be matched to straightforward
functions like a straight line, or a quadratic.
Which data sets oscillate? What functions do you know which
oscillate?
If you are unfamiliar with the graphs of $y=a^x$ and $y=a^{-x}$ for
different values of the constant $a$, try plotting them using
graphing software or a graphical calculator.