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: X y 16.00 6.25 7.00 7.25 8.25 33 4.2% What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line? Round your answer to the nearest tenth of a percent. 20.4% 79.6% 38 35 10.8% 58 69

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It is thought that prehistoric Indians did not take their best tools, pottery, and household itemswhen they visited higher elevations for their summer camps. It is hypothesized thatarchaeological sites tend to lose their cultural identity and specific cultural affiliation as theelevation of the site increases. Let x be the elevation (in thousands of feet) for anarchaeological site in the southwestern United States. Let y be the percentage of unidentifiedartifacts (no specific cultural affiliation) at a given elevation. Suppose that the following datawere obtained for a collection of archaeological sites in New Mexico: x

6.00

6.25

7.00

7.25

8.25

y

33

38

35

58

69

 

 

 

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:
X
y
6.00 6.25 7.00 7.25 8.25
33
What percentage of the variation in y cannot be explained by the corresponding variation in x
and the least-squares line? Round your answer to the nearest tenth of a percent.
4.2%
20.4%
79.6%
38 35 58 69
10.8%
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: X y 6.00 6.25 7.00 7.25 8.25 33 What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line? Round your answer to the nearest tenth of a percent. 4.2% 20.4% 79.6% 38 35 58 69 10.8%
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