It Is Thought That Prehistoric Indians Did Not Take Their $$\begin{array} { c | c c c c c } \hline x & 5.50 & 5.75 & 6.50 & 7.25 & 8.25 \\\hline y & 19 & 6 & 53 & 48 & 77 \\\hline\end{array}$$

question 13

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: $$\begin{array} { c | c c c c c } \hline x & 5.50 & 5.75 & 6.50 & 7.25 & 8.25 \\\hline y & 19 & 6 & 53 & 48 & 77 \\\hline\end{array}$$ Find the equation of the least squares line .
$$\hat { y } = a + b x$$

• A) \(\hat { y } = - 112.448 + 23.015 x\)
• B) \(\hat { y } = 112.448 + 23.015 x\)
• C) \(\hat { y } = - 23.015 - 112.448 x\)
• D) \(\hat { y } = 23.015 + 112.448 x\)
• E) \(\hat { y } = 112.448 - 23.015 x\)

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Definitions:

Initial Value

The beginning amount or worth of an object, financial asset, or parameter before it undergoes any changes.

Final Value

An alternative term for future value,indicating the amount of money an investment will grow to at a future date, based on specified conditions.

Airfares

The cost of a passenger flight ticket.

Winnipeg

A city in Canada, known as the capital of the province of Manitoba, with a diverse economy and cultural scene.