An important advance in ecological research is the Theory of Island Blogeography, 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 II: VNumber of species vs. Area Model I: (Number of Species)? vs. Area 10 8000 9. ecies)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
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An important advance in ecological research is the Theory of Island Blogeography, 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 II: VNumber of species vs. Area
Model I: (Number of Species)? vs. Area
10
8000
9.
ecies)
Transcribed Image Text:An important advance in ecological research is the Theory of Island Blogeography, 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 II: VNumber of species vs. Area Model I: (Number of Species)? vs. Area 10 8000 9. ecies)
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