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: 5.50 6.50 7.25 8.00 8.75 y 10 41 53 89 89 What percentage of the variation in y can be explained by the corresponding variation in x and the least- squares line?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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:
5.50
6.50
7.25
8.00
8.75
10
41
53
89
89
What percentage of the variation in y can be explained by the corresponding variation in x and the least-
squares line?
O 94.8%
O 97.4%
0.3%
O 0.1%
O 2.6%
Transcribed Image Text: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: 5.50 6.50 7.25 8.00 8.75 10 41 53 89 89 What percentage of the variation in y can be explained by the corresponding variation in x and the least- squares line? O 94.8% O 97.4% 0.3% O 0.1% O 2.6%
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