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

question 30

Essay

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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Definitions:

Years Old

A measurement of time that signifies the age of an individual or entity from their date of birth or inception, expressed in years.

Form

in art and design, refers to the visible shape or configuration of something, giving it structure and coherence.

Babbling

Intentional vocalization, often by an infant, that does not have a specific meaning.

Telegraphic

The use of short and precise words to communicate a message, similar to telegraph messages, often observed in the early speech of young children.