Measuring the height of a Yellow Meranti is very difficult because these trees grow to heights over 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of the tree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter2: Solving Linear Equations
Section2.7: Solve Absolute Value Inequalities
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Measuring the height of a Yellow Meranti is very difficult because these trees grow to heights over 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of the tree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees.

 

  1. State the multiple regression equation that shows the relationship with the height of Yellow Meranti is treated as the dependent variable. 
  2. Determine the multiple regression estimation based on Least Squares Method based on the regression model stated in (1)
  3. Determine the coefficient of determination or R-Square (R2) and what does the result of R-Square imply. 
  4. By referring to the P-Value of the independent variables, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights.
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