3.3. A woody tree was planted in 2010 and allowed to grow for seven years. When the tree was cut down, the width of the early and late wood in each annual (year) ring was measured to determine the secondary growth. Study the data in the table below and answer the questions that follow. Width of wood (mm) | Time | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 Early wood | 3,5 | 6,0 | 4,5 | 13,0 | 6,0 | 8,5 | 7,0 Late wood | 3,0 | 4,5 | 1,5 | 8,5 | 3,0 | 4,0 | 3,5 Annual ring | 6,5 | 10,5 | 6,0 | 21,5 | 9,0 | 12,5 | 10,5 3.3.1. Calculate the average annual secondary growth for the period 2010 to 2016. (2) 3.3.2. Use the information on the table to draw a line graph. (6)
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3.1. Calculate the average annual secondary growth for the period 2010 to 2016. (2) To calculate the average annual secondary growth, we need to find the total secondary growth for the period and then divide it by the number of years. Total secondary growth = sum Show more…
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Background: The thickness of the annual rings indicates what type of environmental situation was occurring at the time of the tree's development. Tree ring patterns provide clues about climates of the past. Each year, as a tree grows, it adds a light ring of new growth to its trunk during the spring and early summer, when growing quickly, and a thinner, dark ring in the fall, when growth is slower. A thin ring usually indicates a rough period of development such as lack of water, forest fires, or insect infestation. On the other hand, a thick ring means a prosperous period of development. Use the information from the data table below to create a proper scientific graph and to answer the corresponding questions. Age of trees (in years) | Average Thickness of Annual Rings in Forest A (millimeters) | Average Thickness of Annual Rings in Forest B (millimeters) 10 | 20 | 25 20 | 25 | 30 30 | 30 | 35 40 | 35 | 40 50 | 40 | 45 60 | 45 | 50 1. What is the dependent variable? 2. What is the independent variable? 3. What was the average thickness of annual rings for 40 year old tree in Forest A? 4. What is it called when you make predictions within given data, such as made in question #3? 5. What was the mean thickness of annual rings for all trees found in Forest B? 6. Based on the data shown, what can be concluded about the comparative health of Forest A & B? 7. What type of relationship (constant, direct, or indirect) exists between the age of trees and the average thickness of the tree's rings? Explain
Madhur L.
One can determine how old a tree is by counting its rings, but that Requires cutting the tree down. A forester wanted to investigate whether or not the age of a tree can be estimated simply from its diameter so they measured 27 trees of the same species that had been cut down, and counted the rings to determine the ages of the trees. The following are the data collected. Diameter in inches Age in years Diameter in inches Age in years Diameter in inches Age in years Diameter in inches Age in years 3.8 4 6.8 12 9.3 23 11.5 34 3.8 5 6.9 13 9.9 25 11.7 35 5.7 8 7.6 14 9.8 28 11.7 38 5.0 8 7.6 16 10.6 29 11.7 38 5.8 8 8.1 18 10.6 30 12.5 40 6.9 10 9.0 20 10.4 30 12.3 42 6.1 10 8.8 22 11.3 33 Create a residual graph Use diameter for the x-axis and residuals for the y-axis Are the assumptions and conditions met for this linear model to be appropriate for this data? Please make sure you address the following: Quantitative Variable Condition Straight Enough Condition Outlier Condition Does the Plot Thicken? Condition.
Problem 4. The table below gives the height as time passes of a typical pine tree grown for lumber at a managed site. Tree age (years) 14 21 28 35 42 49 Height (feet) 40 55 63 73 78 84 If H(t) is the height of the tree after t years, answer the following questions: (a) What are the units of H' = dH/dt? (b) If H'(65) = 0, what would that mean about the tree in terms of age and height? (c) Would it make sense for the H' ever to be negative? Explain why or why not.
Adi S.
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