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 5.75 6.75 7.75 8.50 9.25 27 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. 3.4% 16 46 62 95 18.4% 81.6% 9.7%

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 5.75 6.25 6.75 7.75 8.25 y 31 26 38 74 72 Find the value of the coefficient of determination r2.     –0.939   –0.883   0.883   –0.061   –0.117

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 5.25 5.50 5.75 6.00 6.75 y 15 41 29 63 46 Given that r=0.592 and ² = 0.35, should a least squares line be used for predictions if a coefficient of determination of more than 0.5 is required? O 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…

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: 5.00 5.75 6.00 6.50 7.25 12 31 41 52 56 Find o for the equation of the least-squares line y =a+bx. -0.046 20.195 0.046 -0.009 -0.055

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 5.75 6.25 6.75 7.75 8.25 y 31 26 38 74 72 ​ Find the value of the coefficient of determination r2. Round your answer to three decimal places. Group of answer choices –0.061 –0.883 –0.939 0.883

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: 6.00 6.50 6.75 7.50 8.50 28 20 17 30 85 Find the value of the coefficient of determination 2. O -0.703 -0.162 0.297 0.703 0.162

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 5.00 6.00 6.50 7.50 8.00 y 25 55 64 66 75 Find a for the equation of the least-squares line y=a+bx given that x=6.6  and y=57. Group of answer choices –57.039 –41.421 57.039 –56.621 –56.679

Suppose a researcher collects data on the bacterial contamination, measured in colony-forming unit per milliliter, for both upstream and downstream sections of 35 rivers. The data is plotted with upstream bacterial contamination on the horizontal axis and downstream bacterial contamination on the vertical axis. The Scioto River is an outlier in the ?y‑direction. What must be true about this river? The upstream bacterial contamination for this river is much higher or lower than the rest of the rivers in the data set. The downstream bacterial contamination for this river is much higher or lower than other rivers in the data set that have similar upstream bacterial contamination. This river is an influential observation. The downstream bacterial contamination for this river is much higher or much lower than the rest of the rivers in the data set. The absolute value of the residual of this river is large.

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:x5.756.257.258.259.25y2218786795What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line?

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 5.00 5.25 5.75 6.75 7.00 y 8 15 13 49 71 ​ Find the equation of the least squares line . Round a and b to three decimal places. Find the correlation coefficient r for the elevation and percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation