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:

Proportion

A statistical measure that reflects the fraction of the total number of occurrences for a specific outcome.

Hypotheses

Formally proposed explanations for a phenomenon, which are typically tested through research and experiments to be supported or refuted.

Z Statistic

The Z statistic, or Z-score, is used in hypothesis testing, measuring the number of standard deviations a datapoint is from the population mean.

P-value

A measure in statistical hypothesis testing representing the probability of obtaining a result at least as extreme as the one observed, under the assumption that the null hypothesis is true.