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It Is Thought That Prehistoric Indians Did Not Take Their x5.506.006.507.508.50y3324418783\begin{array} { c | c c c c c } \hline x & 5.50 & 6.00 & 6.50 & 7.50 & 8.50 \\\hline y & 33 & 24 & 41 & 87 & 83 \\\hline\end{array}

question 10

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It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x5.506.006.507.508.50y3324418783\begin{array} { c | c c c c c } \hline x & 5.50 & 6.00 & 6.50 & 7.50 & 8.50 \\\hline y & 33 & 24 & 41 & 87 & 83 \\\hline\end{array} Calculate the sample correlation coefficient r.


Definitions:

Island Biogeography

The study of the species composition and species richness on islands, focusing on the size of the island and its distance from the mainland.

Immigration

Movement of individuals into a population.

Successional Change

The gradual process by which ecosystems change and develop over time, following disturbance or the establishment of new habitats.

Pioneer Species

The first species to colonize previously disrupted or damaged ecosystems, starting a chain of ecological succession.

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