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: x6.006.257.007.258.25y3338355869 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:Xy6.00 6.25 7.00 7.25 8.2533What percentage of the variation in y cannot be explained by the corresponding variation in xand the least-squares line? Round your answer to the nearest tenth of a percent.4.2%20.4%79.6%38 35 58 6910.8%

The random variable x is the elevation for an archaeological site in the southwestern United States and y is the percentage of unidentified artifacts at a given elevation.The sums are, x y x2 y2 xy 6.00 33 36.0000 1089 198.0 6.25 38 39.0625 1444 237.5 7.00 35 49.0000 1225 245.0 7.25 58 52.5625 3364 420.5 8.25 69 68.0625 4761 569.25 34.75 233 244.6875 11883 1670.25 The percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line is, 1-R2×100%=1-n∑xy-∑x∑y2n∑x2-∑x2n∑y2-∑y2×100%=1-5×1670.25-34.75×23325×244.6875-34.7525×11883-2332×100%=1-64770.2581375.25×100%=1-0.796×100%=0.204×100%=20.4% Thus, the percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line is 20.4%. Correct Answer: 20.4%.

Answered: It is thought that prehistoric Indians…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 139 120 126 64 78 April 108 113 102 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. (Let d = January − April.) (a) What is the level of significance?=__ What is the value of the sample test statistic? (Round your answer to three decimal places.)=___
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
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side.…
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
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 137 124 128 64 78 April 104 115 102 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. (Let d = January − April.) (a) What is the level of significance? What is the value of the sample test statistic?
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
Answer A and B
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) of an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. The following data were obtained for a collection of archaeological sites in New Mexico. x 5.23 5.89 6.25 6.75 7.25 y 18 11 33 37 62 Complete parts (a) through (e), given Σx = 31.37, Σy = 161, Σx2 = 199.2325, Σy2 = 6747, Σxy = 1064.43, and r ≈ 0.884. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r =…
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
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station January April USE SALT Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. (Let d = January - April.) (a) What is the level of significance? 1 2 3 4 5 137 120 126 64 78 104 115 102 88 61 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: My = 0₁ H₁: 0; two-tailed O Hoi Hd O1 H₁: M O Hot Hd = 0; H₁: O Hot Hd = 0; H₁² = 0; right-tailed 0; right-tailed (b) What sampling…

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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