Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees. Construct a 95% confidence interval estimate of the population slope between the height of the redwood trees and breast height diameter. What conclusion can you reach about the relationship of the diameter of the tree and its height? Height Diameter at breast height Bark thickness 122.0 20 1.1 193.5 36 2.8 166.5 18 2.0 82.0 10 1.2 133.5 21 2.0 156.0 29 1.4 172.5 51 1.8 81.0 11 1.1 148.0 26 2.5 113.0 12 1.5 84.0 13 1.4 164.0 40 2.3 203.3 52 2.0 174.0 30 2.5 159.0 22 3.0 205.0 42 2.6 223.5 45 4.3 195.0 54 4.0 232.5 39 2.2 190.5 36 3.5 100.0 8 1.4

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.