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Chapter 12: Q.40 (page 789)

Determining tree biomass It is easy to measure the “diameter at breast height” of a tree. It’s hard to measure the total “aboveground biomass” of a tree, because to do this you must cut and weigh the tree. The biomass is important for studies of ecology, so ecologists commonly estimate it using a power model. Combining data on 378trees in tropical rain forests gives this relationship between biomass y measured in kilograms and diameter x measured in centimeters:

lny^=-2.00+2.42lnx

Short Answer

Expert verified

The biomass of a tropical tree 30centimeters in diameter

isy^=508.213.

Step by step solution

01

Given Information

Given in the question that,

lny^=-2.00+2.42lnx.

02

Explanation

we must calculate the biomass of a tropical tree with a diameter of 30centimeters. As a result, we'll rate the model as follows:

lny^=-2.00+2.42lnx

⇒lny^=-2.00+2.42ln(30)

⇒lny^=6.23090

localid="1651133502568" ⇒y^=e6.23090

=508.213

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