Asked by Payton Landre on Jun 19, 2024

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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 \%=84.3%
VariableCoefficients.e.ofCoeffVariable \quad Coefficient \quad s.e. of CoeffVariableCoefficients.e.ofCoeff
Constant −8.607701.687\quad- 8.60770 \quad\quad\quad\quad 1.6878.607701.687
Log(Age) 15.07011.299\quad 15.0701 \quad\quad\quad\quad\quad 1.29915.07011.299  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

Logarithm

The exponent by which a base must be raised to yield a given number, commonly used in mathematical and scientific calculations.

Maple Tree

A type of tree belonging to the genus Acer, known for its distinctive leaf shape and for producing maple syrup.

Regression Analysis

A set of statistical processes for estimating the relationships among variables, often used to predict the value of a dependent variable based on one or more independent variables.

  • Acquire knowledge about the principle of re-expression related to linear regression and its utilization.
  • Appreciate the use of logarithmic transformation in linear regression to model relationships in certain datasets.
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Gaselle OrtizJun 24, 2024
Final Answer :
There is no obvious pattern to the residual plot.