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Chapter 12: Q.40 (page 814)

Determining tree biomass It is easy to measure the diameter at breast height (in centimeters) of a tree. It鈥檚 hard to measure the total aboveground biomass (in kilograms) of a tree because to do this, you must cut and weigh the tree. Biomass is important for studies of ecology, so ecologists commonly estimate it using a power model. The following figure is a scatterplot of the natural logarithm of biomass against the natural logarithm of diameter at breast height (DBH) for 378trees in tropical rain forests. The least-squares regression line for the transformed data is lny鈭�=-2.00+2.42lnx鈭�lny^=-2.00+2.42lnx^

Use this model to estimate the biomass of a tropical tree 30cm in diameter.

Short Answer

Expert verified

508.213kg is the biomass of a tropical tree 30cm in diameter.

Step by step solution

01

Given Information

Given data:

02

Explanation

Substituting the value of x:

lny=-2.00+2.42lnx

=-2.00+2.42ln30

=6.23090

Using the exponential formula:

y=10logy

=106.23090

=508.213

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