Chapter 14: Problem 21
The ability of ecologists to identify regions of greatest species richness could have an impact on the preservation of genetic diversity, a major objective of the World Conservation Strategy. The article “Prediction of Rarities from Habitat Variables: Coastal Plain Plants on Nova Scotian Lakeshores" (Ecology [1992]: \(1852-\) 1859) used a sample of \(n=37\) lakes to obtain the estimated regression equation $$ \begin{aligned} \hat{y}=& 3.89+.033 x_{1}+.024 x_{2}+.023 x_{3} \\ &+.008 x_{4}-.13 x_{5}-.72 x_{6} \end{aligned} $$ where \(y=\) species richness, \(x_{1}=\) watershed area, \(x_{2}=\) shore width, \(x_{3}=\) drainage \((\%), x_{4}=\) water color \((\) total color units), \(x_{5}=\) sand \((\%),\) and \(x_{6}=\) alkalinity. The coefficient of multiple determination was reported as \(R^{2}=.83 .\) Use a test with significance level .01 to decide whether the chosen model is useful.
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.