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:

Personal Income Taxes

Taxes levied on the income of individuals, typically graduated so that higher income levels are taxed at higher rates.

Progressive

Describes a tax system where the tax rate increases as the taxable base amount increases, typically aimed at reducing income inequality.

Proportional

Having a constant relation in degree or number between two or more variables.

Regressive

Describing taxes or policies that take a larger percentage from low-income earners than from high-income earners.