It Is Thought That Prehistoric Indians Did Not Take Their $$\begin{array} { c | c c c c c } \hline x & 5.75 & 6.00 & 6.50 & 7.25 & 8.25 \\\hline y & 28 & 33 & 20 & 70 & 58 \\\hline\end{array}$$

question 6

Multiple Choice

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: $$\begin{array} { c | c c c c c } \hline x & 5.75 & 6.00 & 6.50 & 7.25 & 8.25 \\\hline y & 28 & 33 & 20 & 70 & 58 \\\hline\end{array}$$ What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line?

• A)25.5%
• B)44.4%
• C)55.6%
• D)19.7%
• E)74.5%

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Definitions:

Political Developments

Changes or progress in the field of politics, including shifts in government, policy making, or the introduction of new political ideas and movements.

Progressives

A political and social reform movement in the late 19th and early 20th centuries that aimed to address issues stemming from industrialization, urbanization, and corruption, advocating for improvements in democracy, working conditions, and social justice.

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Frederick C. Howe

An influential American sociologist, political reformer, and public administrator known for his work in urban reform and sociology in the early 20th century.