For the following data:

8.181. Find the best-fitting model of the form Y = at

2.Find the best-fitting model of the form Y = at 2

3.Find the best-fitting model of the form Y = ae t Which model gives the best fit to the data?

Summary

Relevant data are needed at several stages in the modelling process.

1.Initially, to help to form our ideas when we are trying to develop a model.

2.To fix the values of parameters which we are including in our model.

3.Most importantly, to test our model, i.e. to check whether our model's predictions correspond sufficiently well with what is observed in the real world.

Empirical models are derived entirely from data by choosing the simplest mathematical forms that give a good fit.

When testing models, find a relationship which is predicted to be a straight line and plot the corresponding data.