Question: Desert Ecology: Wildlife Bighorn sheep are beautiful wild animals found throughout the western United States. Data for this problem are based on information taken from The Desert Bighorn, edited by Monson and Sumner (University of Arizona Press). Let \(x\) be the age of a bighorn sheep (in years), and let \(y\) be the mortality rate (percent that die) for this age group. For example, \(x=1, y=14\) means that \(14 \%\) of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:

\(\Sigma x=15 ; \Sigma y=86.9 ; \Sigma x^{2}=55 ; \Sigma y^{2}=1544.73 ; \Sigma x y=273.4\)

1. Draw a scatter diagram.
2. Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a).
3. Find the correlation coefficient \(r\). Find the coefficient of determination \(r^{2}\). What percentage of variation in \(y\) is explained by the variation in \(x\) and the least squares model?

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