An important advance in ecological research is the Theory of Island Biogeography, which demonstrates a relationship between the size of islands and the number of species of different amphibians that can be found in the islands. The scatterplot of number of species versus island area (in thousands of square miles) is nonlinear. The graphs below show the results of two different transformations of the data. Model I plots the square of the number of species against area. Model II plots the square root of the number of species against area. Linear regression analyses are provided below. Model I: (Number of Species)² vs. Area Model II: /Number of species vs. Area 8000 10 7000 cies)

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An important advance in ecological research is the Theory of Island Biogeography, which demonstrates a relationship
between the size of islands and the number of species of different amphibians that can be found in the islands. The
scatterplot of number of species versus island area (in thousands of square miles) is nonlinear. The graphs below show
the results of two different transformations of the data. Model I plots the square of the number of species against area.
Model II plots the square root of the number of species against area. Linear regression analyses are provided below.
Model I: (Number of Species)² vs. Area
Model II: /Number of species vs. Area
8000
10
7000
cies)
Transcribed Image Text:An important advance in ecological research is the Theory of Island Biogeography, which demonstrates a relationship between the size of islands and the number of species of different amphibians that can be found in the islands. The scatterplot of number of species versus island area (in thousands of square miles) is nonlinear. The graphs below show the results of two different transformations of the data. Model I plots the square of the number of species against area. Model II plots the square root of the number of species against area. Linear regression analyses are provided below. Model I: (Number of Species)² vs. Area Model II: /Number of species vs. Area 8000 10 7000 cies)
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