Prehistoric pottery vessels are usually found as sherfs(broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological Study provides data relating X = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following minitab printout provides an analysis of the data. predictor  coef   SE coef   T   F constant -.182   2.429   -.09  .929 diameter  .8175   .1471   4.25   .007 s=4.07980  R-Sq=81.9%  a) for the least squares line y=a+bx what is the value of the constant a? What is the value of the slope b? ( no the slope is the coefficient of the predictor variable) write the equation of the least squares line. a= b= y=___+___x b) the p value for a two tailed test corresponding to each coefficient is listed under p. The tea value corresponding to the coefficient is listed under T. What is the P value of the slope? c) recall that the T value in resulting P value of the slope b equal the tea value in resulting P value of the corresponding correlation coefficient r. To find the value of the sample correlation coefficient or take the square root of the "R-Sq"? Value shown in the display what is the value of r? (Round your answer to three decimal places)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Prehistoric pottery vessels are usually found as sherfs(broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological Study provides data relating X = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following minitab printout provides an analysis of the data.

predictor  coef   SE coef   T   F

constant -.182   2.429   -.09  .929

diameter  .8175   .1471   4.25   .007

s=4.07980  R-Sq=81.9% 

a) for the least squares line y=a+bx what is the value of the constant a? What is the value of the slope b? ( no the slope is the coefficient of the predictor variable) write the equation of the least squares line.

a=
b=
y=___+___x

b) the p value for a two tailed test corresponding to each coefficient is listed under p. The tea value corresponding to the coefficient is listed under T. What is the P value of the slope?

c) recall that the T value in resulting P value of the slope b equal the tea value in resulting P value of the corresponding correlation coefficient r. To find the value of the sample correlation coefficient or take the square root of the "R-Sq"? Value shown in the display what is the value of r? (Round your answer to three decimal places) 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman