13. It is thought that prehistoric Indians did not take their best tools, potter

Question

13. It is thought that prehistoric Indians did not take their best tools, pottery, and housc hold that archaeological sites tend to lose their cultural identity and specific culturalt 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 percenta of unidentified artifacts (no specific cultural affiliation) at a given elevation. Sup that the following data were obtained for a collection of archaeological sites in New Mexico: thesized pose r 5.25 5.50 5.75 6.50 7.50 ?|11 25 28 37 58 Given that r 0.976, x 6. l , y 31 .8, and y of the variation in y squares line(round to the nearest percent)? -81 .669 + 18.602 r, what percentage can be explained by the corresponding variation in r and the least-

Explanation / Answer

The value of correlation coefficient calculated, r = 0.976
Coeff. of determination, r-square = 0.976^2 = 0.9526
Hence 95.26% of variation in y is explained by the the corresponding variation in x and the least square line.

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