Piecing Things Together

In the ideal math world, we are able to write a single equation that can perfectly model a situation. However, if we collect actual data from the real world, we will almost always not be able to write one equation that will completely match the data. During my fellowship with the Gu Lab Group at Stanford, I collected and analyzed data, which will be brought back to the classroom for students to analyze through writing equations for piecewise defined functions as the data does not fit one particular group of functions. Also, each piece of the function does not perfectly fit as well, so students will use technology to apply regression methods as well.