The `Amsterdamsche Bos' Forestry wishes to estimate the total wood volume of the trees on its domain.

To this end, the Forestry has cut a sample of 59 trees of their most prevalent type `Beech' and `Oak'.

The volume of these trees alongside their height and trunk diameter have been measured. The latter two characteristics can be measured in the eld without sacrificing the tree. The Forestry hypothesizes that these are predictive of the tree's volume. The file treeVolume.txt (https://ideone.com/lvmqqh) from the cut trees is to uncover this relationship, taking into account the tree type.

I would like to know using Python or R to see:

• if tree type influences volume by performing ANOVA, without taking the diameter or height into account. Is an oak more voluminous than a beech? What are the estimated volumes for the two tree types?
• if the tree type influences the volume, now including diameter and height (but no interactions) as predictors into the analysis, which results in an ANCOVA analysis. How does tree type influence volume? What are the estimated volumes for the two tree types with average diameter and height? (Hint: use function predict.) How does diameter influence volume? Graphically (or propose and perform a relevant test) investigate whether this dependence is similar for both tree types.

Also, please help me with "proposing a transformation of (a subset of) the explanatory variables that possibly yields a better model (verify this).

(Hint: think of a natural link between the response and explanatory variables.)"

Thank you!