Part D

There are 30 Galapagos islands and 6 variables in the dataset. The relationship between the number of plant species and several geographic variables is of interest. The dataset contains the following variables

Species: the number of plant species found on the island

Area: the area of the island (km$^2$)

Elevation: the highest elevation of the island (m)

Nearest: the distance from the nearest island (km)

Scruz: the distance from Santa Cruz island (km)

Adjacent: the area of the adjacent island (square km)

Consider the of all the predictors in the full model:

> vif(lm(Species~.,data=gala))  Area Elevation Nearest Scruz  Adjacent 2.928145 3.992545 1.766099 1.675031 1.826403  

1.What do they represent? What problem can they help to diagnose in a regression fit? Is the problem present in this full model?

2.How much is the standard error for the estimated beta of the Area predictor inflated? What is the R-squared for regressing Area on the other predictors ?