In the process of calibrating a transducer and measurement system you collect the following data for input (X) ...

     In the process of calibrating a transducer and measurement   system you collect the following data for input (X) and output (Y). Determine   an appropriate (i.e. “best”) polynomial relationship between the input and   output and report and justify the relationship, i.e. what polynomial   relationship is appropriate to use and why?    x y    2 14    4 13    6 98    8 159    10 166    12 239    14 358