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QUESTION 1 The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. A common measure of the size of a tree is the "diameter at breast height" DBH. "Breast height" is defined as 4 ½ feet above the uphill side of the tree. Consider the following data on 12 northern red oaks from southwestern Wisconsin: Age(years) | 97 93 DBH(inch) | 12.5 | 12.5 | 8.0 | 9.5 75 57 52 45 28 | 15 12|11 |16.5 | 11.0 | 10.5 | 9.0 |6.0 | 1.5 |1.0 |1.0 88 81 b) Determine the coefficient of linear correlation and coefficient of determination. Interpret their meanings.

QUESTION 1 The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. A common measure of the size of a tree is the "diameter at breast height" DBH. "Breast height" is defined as 4 ½ feet above the uphill side of the tree. Consider the following data on 12 northern red oaks from southwestern Wisconsin: Age(years) | 97 93 DBH(inch) | 12.5 | 12.5 | 8.0 | 9.5 75 57 52 45 28 | 15 12|11 |16.5 | 11.0 | 10.5 | 9.0 |6.0 | 1.5 |1.0 |1.0 88 81 b) Determine the coefficient of linear correlation and coefficient of determination. Interpret their meanings.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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QUESTION 1 The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. A common measure of the size of a tree is the "diameter at breast height" DBH. "Breast height" is defined as 4 ½ feet above the uphill side of the tree. Consider the following data on 12 northern red oaks from southwestern Wisconsin: 93 81 75 15 12 Age(years) | 97 57 52 45 28 10.5 9.0 6.0 88 11 DBH(inch) | 12.5 12.5 8.0 |9.5 | 16.5 | 11.0 1.5 1.0 1.0 b) Determine the coefficient of linear correlation and coefficient of determination. Interpret their meanings.
Transcribed Image Text:QUESTION 1 The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. A common measure of the size of a tree is the "diameter at breast height" DBH. "Breast height" is defined as 4 ½ feet above the uphill side of the tree. Consider the following data on 12 northern red oaks from southwestern Wisconsin: 93 81 75 15 12 Age(years) | 97 57 52 45 28 10.5 9.0 6.0 88 11 DBH(inch) | 12.5 12.5 8.0 |9.5 | 16.5 | 11.0 1.5 1.0 1.0 b) Determine the coefficient of linear correlation and coefficient of determination. Interpret their meanings.
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