Scenario Western Australia (WA) is home to a special species of gi- ant trees, not found anywhere else in the world. These are Eucalyptus diversicolor, but more commonly known as Karri trees. Mature Karri trees are thought to range in height from about 45-60111 high, but some people believe there are Karri trees in WA that are as tall as 80111. When a bushre moves through the forest it can hollow out the tree trunk, which can be an impressive sight to behold. In the recent past, Karri trees have been logged for hardwood timber and used as re lookouts (where people climb the tree to spot any res that have started). Some trees have iron spikes wrapping up and around their trunks that tourists can climb for a view. An arborist team wishes to understand Karri trees in more detail. Rom satellite imagery, they are aware of the location of all Karri trees and can see that there are n. forests con- taining Karri trees. The team drives to each of the 11. regions and measures data for the rst tree they see that is safe for them to climb to the top. The team collects three measurements. It is straightfor- ward for the team to measure the Diameter at Breast Height (DBH) of their selected Karri trees. This is a standard height set in Australia as the diameter of the tree at 1.4m above the ground. New leaves on Karri trees tend to be egg-shaped and older leaves tend to be lanceshaped. The team randomly selects a leaf from each selected tree and records the type (Youth or Adult) and length of the leaf (in centimeters). It is more difcult to measure the height of these giant trees but this is managed (in metres). Your job is to assist the arborist team by analysing the dataset provided to you. The data is provided on the right of this page and also as a separate text le attachment sent by email. The text le contains your unique dataset of length n. in separate rows consisting of four variables: Tree.Height, Tree .Diameter, Leaf .Type, and Leaf . Length. 3.c. Suggest an appropriate numerical summary to quantify the strength of the linear rela- tionship between Tree.Height and 10g(Tree.Diameter). Report and briey comment on this value. Scatter plot (Tree height vs Log(Tree Diameter)) 70.00- O 65.00- Tree height 60.00- O O O 55.00- O oo OO O O O O O O O O 50.00- .800000 900000 1.000000 1.100000 1.200000 log(Tree Diameter)
