Construct a scatterplot and identify the mathematical model that best fits the data. Assume the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R. Given the data points: x = [4, 8, 12, 16, 20] and y = [40, 20, -11, -37, -97], which mathematical model best fits the data?
1) Linear model
2) Quadratic model
3) Logarithmic model
4) Exponential model
5) Power model