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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:

Plantation Owners

Individuals who owned large estates primarily in the Southern United States, where cash crops like cotton and tobacco were farmed by enslaved people.

Ex-Slaves

Individuals who were formerly enslaved, often referring to those who gained freedom following abolition movements or legislative acts.

Civil War

A war between factions or regions within the same country, often fought over political, social, or economic issues.

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