Chapter 6.1, Problem 17E

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. Interpret the meaning of the coefficient of determination in this problem. Perform a residual analysis on the results and determine the adequacy of the model. Determine whether there is a significant relationship between the height of redwood trees and the breast height diameter at the 0.05 level of significance. 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…

What are the uses of dispersion?

Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257