Such data transformations are the focus of this lesson. To introduce basic ideas behind data transformations we first consider a simple linear regression model in which: We transform the predictor ( x) values only. We transform the response ( y) values only. We transform both the predictor ( x) values and response ( y) values.
Transforming response and/or predictor variables therefore has the potential to remedy a number of model problems. Such data transformations are the focus of this lesson. To introduce basic ideas behind data transformations we first consider a simple linear regression model in which:
You will discover that data transformation definitely requires a "trial and error" approach. In building the model, we try a transformation and then check to see if the transformation eliminated the problems with the model.
You will discover that data transformation definitely requires a "trial and error" approach. In building the model, we try a transformation and then check to see if the transformation eliminated the problems with the model. If it doesn't help, we try another transformation and so on. We continue this cyclical process until we've built a model that is appropriate and we can use. That is, the process of model building includes model formulation, model estimation, and model evaluation:
We transform the predictor ( x) values only.