It is thought that prehistoric Indians did not take their best tools, pottery, a

Question

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 fin 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: Given that r = 0.592 and r^2 = 0.35. should a least squares line be used for predictions? Since about 59.2% of the behavior of the y variable can be explained by the corresponding behavior of the x variable if we use the equation of the least-squares line, the line should be used for predictions. Since about 35.0% of the behavior of the y variable can be explained by the corresponding behavior of the x variable if we use the equation of the least squares line, the line should not be used for predictions. Since about 59.2% of the behavior of the y variable can be explained by the corresponding behavior of the X variable if we use the equation of the least-squares line, the line should not be used for predictions. Since about 40.8% of the behavior of the y variable can be explained by the corresponding behavior of the x variable if we use the equation of the least squares line, the line should be used for predictions. Since about 40.8% of the behavior of the y variable can be explained by the corresponding behavior of the X variable if we use the equation of the least-squares line, the line should not be used for prediction.

Explanation / Answer

Given r=0.592

and coefficent of determination r2=0.35

since 35% of the behaviour of the y variable can be explained by the corresponding behaviour of x varaible if we use the equation of the least squares line,

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