It Makes Sense That the Larger the Area of a Region

question 166

Short Answer

It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species $S$ of bats living in caves in central Mexico has been related to the surface area $A$ measured in $m ^ { 2 }$ of the caves by the equation
$$S = 0.7 A ^ { 03 }$$
(a) The cave called mission impossible near puebla, mexico, has suface area of $A = 90 \mathrm {~m} ^ { 2 }$ . How many species of bats would expect to find in that cave?
(b) If you discover that 5 species of bats live in cave estimate the area of the cave.

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Definitions:

Coefficient of Determination

This indicates the proportion of the variation in the dependent variable that can be explained by the independent variable(s) in a regression model, quantifying the predictive power of the model.

Units

Basic quantities or measurements used to express and compare physical quantities.

Sample Size

Refers to the number of observations or data points collected in a study or used in statistical analysis.

Symbols

Characters or marks that are used to represent objects, quantities, or relations in mathematical expressions, equations, or in general notation.