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A Forester Would Like to Know How Big a Maple =84.3%= 84.3 \%

Question 46

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A forester would like to know how big a maple tree might be at age 50 years.She gathers data from some trees that have been cut down,and plots the diameters (in inches)of the trees against their ages (in years).She re-expresses the data,using the logarithm of age to try to predict the diameter of the tree.Here are the regression analysis and the residuals plot.Explain why you think this is an appropriate model. Dependent variable is: Diam
Rsquared =84.3%= 84.3 \%
VariableCoefficients.e.ofCoeffVariable \quad Coefficient \quad s.e. of Coeff
Constant 8.607701.687\quad- 8.60770 \quad\quad\quad\quad 1.687
Log(Age) 15.07011.299\quad 15.0701 \quad\quad\quad\quad\quad 1.299  A forester would like to know how big a maple tree might be at age 50 years.She gathers data from some trees that have been cut down,and plots the diameters (in inches)of the trees against their ages (in years).She re-expresses the data,using the logarithm of age to try to predict the diameter of the tree.Here are the regression analysis and the residuals plot.Explain why you think this is an appropriate model. Dependent variable is: Diam Rsquared  = 84.3 \%   Variable \quad Coefficient \quad s.e. of Coeff  Constant  \quad- 8.60770 \quad\quad\quad\quad 1.687  Log(Age)  \quad 15.0701 \quad\quad\quad\quad\quad 1.299

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