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:

Bar Graph

A chart that represents categorical data with rectangular bars with lengths proportional to the values they represent.

Frequency Polygon

Variation of a histogram where rather than a series of vertical bars, a line is drawn to connect the midpoint for each of the different measured variables in the distribution.

Central Tendency

A statistical measure that indicates the center or the middle of the distribution.

Extreme Outliers

Data points that are significantly distant from the majority of other points in a dataset, often indicating a deviation from expected norms.