Exercise

# Teasing apart multi-scale interactions

In the previous exercise, you fit the following model:

```
tensor_mod <- gam(cadmium ~ te(x, y, elev),
data = meuse, method = "REML")
```

In this exercise, you will fit a model with smooths and tensor *interactions* to separate out the independent and interacting effects of variables.

Instructions

**100 XP**

- Convert the above model such that
`x`

and`y`

interact on the same scale, the effect`elev`

is a separate smooth, and the interaction of all three on different scales is a separate term. - Summarize and plot the model.