Is the plant density of a species related to the altitude
Chapter 11, Problem 52E(choose chapter or problem)
Is the plant density of a species related to the altitude at which data are collected? Let Y denote the species density and X denote the altitude. A fit of a simple linear regression model using 14 observations yielded \(\bar{y}=21.6-7.79 x\) and \(r^{2}=.61\).
a What is the value of the correlation coefficient r?
b What proportion of the variation in densities is explained by the linear model using altitude as the independent variable?
c Is there sufficient evidence at the \(\alpha=.05\) to indicate that plant densities decrease with an increase in altitude?
Equation transcription:
Text transcription:
bar{y}=21.6-7.79 x
r^{2}=.61
alpha=.05
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