Choosing between good Models

In choosing the best model (from our short list) proceed as follows:

Model is "good" = no pattern in the Residual vs. Fits plot

Step 1: If a linear model is good, use it, you are done.

If the linear model is not good, proceed as follows:
Step 2: check the square root model, the exponential model and the power model and see which of these (if any) are good.
Step 3: find the polynomial model with the lowest degree that is good.
Step 4: c) Choose as the best of the good models in a) and b) the one which has the highest R2

Example Elusage.