The bugs data set contains data from an experiment to see if insects are more attracted to some colors than to others [WS67]. The researchers prepared colored cards with a sticky substance so that insects that landed on them could not escape. The cards were placed in a field of oats in July. Later the researchers returned, collected the cards, and counted the number of cereal leaf beetles trapped on each card. Use a linear model to give an analysis of this data. In particular:
a) Decide whether you should use a transformation of the response (Num Trap). Two candidate transformations to consider are square root and logarithm.
b) Perform the model utility test.
c) Perform whatever follow-up analysis is appropriate.