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)
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)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 48E
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