statistics

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 5.19 5.83 6.25 6.75 7.25
y 18 13 33 37 62
Complete parts (a) through (e), given Σx = 31.27, Σy = 163, Σx2 = 198.1125, Σy2 = 6795, Σxy = 1074.71, and r ≈ 0.900.
(a) Draw a scatter diagram displaying the data.
Get Flash Player
Flash Player version 10 or higher is required for this question.
You can get Flash Player free from Adobe's website.

(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 =

(c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
x =
y =
y hat =
+
x

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot

(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
r2 =
explained
%
unexplained
%

(f) At an archaeological site with elevation 6.0 (thousand feet), what does the least-squares equation forecast for y = percentage of culturally unidentified artifacts? (Round your answer to two decimal places.)

  1. 👍 0
  2. 👎 0
  3. 👁 212

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    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

    asked by jaipreet on November 16, 2010
  2. Statistics

    10. 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

    asked by Tab on January 26, 2011
  3. Statistics

    8. 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

    asked by Tab on January 26, 2011
  4. Statistics

    9. 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

    asked by Tab on January 26, 2011
  5. statistics

    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

    asked by sharon on August 22, 2010
  1. History

    1. What type of scientists study the origin and development of man? A . anthropologists B. archaeologists C. economists D. sociologists 2. What are items(such as pottery shards, weapons, tools, jewelry) used by ancient people’s

    asked by Anonymous on September 10, 2019
  2. Social Studies

    1) Describe the difference between an anthropologist and an archaeologist. 2)Describe the most accepted theory as to how the Native Americans made it to North America. Include the differences from what the land looked like then

    asked by Pacen on December 7, 2015
  3. 8th Grade Honors History

    2. A piece of decorated pottery from the Woodland Era is considered (1 point) a fossil an artifact.** a hieroglyph. a chert 8. During which period of time was the first pottery made? (1 point) Archaic period** Mississippian period

    asked by HardWorker Ms. Sue PLEASE HELP!!!! on September 18, 2015
  4. Science

    I can't find 2 examples of suspensions from household items and 2 solutions from household item for Science class tomorrow!

    asked by Ashley on November 1, 2007
  5. Georgia studies

    Which of the following can be used by archaeologists to learn about early cultures. A. remains of structures B. tools C. pottery D. all of the above****

    asked by gabriella bongo cat on September 5, 2019

More Similar Questions