Homework Help is Here – Start Your Trial Now!
Math
Statistics
TEAC-MEOH 2500 2000 1500 1000 500 FR NF -8 100 Tea Samples of Methanol 150 200 TPC-MEOH 250 fermented correlation coefficient:0.6907772111770509 error: 0.10124972471697807 p: 8.9463696660193e-12 **** 300 350 48 nonfermented correlation coefficient: 0.21863626031266953 error: 0.14233599637989416 p: 0.12452430345122018 a. Which type(s) of tea samples (fermented or unfermented) show correlations between the two variables? How is the correlation (or non-correlation) of the two types related to the shape of the ellipses in the figure? b. Suppose that you want to distinguish fermented and unfermented samples based only one of the two variables (TPC or TEAC). Based on what the graph shows, which variable should you choose in order to best distinguish between the two? Justify your answer.

TEAC-MEOH 2500 2000 1500 1000 500 FR NF -8 100 Tea Samples of Methanol 150 200 TPC-MEOH 250 fermented correlation coefficient:0.6907772111770509 error: 0.10124972471697807 p: 8.9463696660193e-12 **** 300 350 48 nonfermented correlation coefficient: 0.21863626031266953 error: 0.14233599637989416 p: 0.12452430345122018 a. Which type(s) of tea samples (fermented or unfermented) show correlations between the two variables? How is the correlation (or non-correlation) of the two types related to the shape of the ellipses in the figure? b. Suppose that you want to distinguish fermented and unfermented samples based only one of the two variables (TPC or TEAC). Based on what the graph shows, which variable should you choose in order to best distinguish between the two? Justify your answer.

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

Please do part B and Exercise 4. Please make sure you explain

TEAC-MEOH 2500 2000 1500 1000 500 讯 FR NF 50 Tea Samples of Methanol 100 150 250 200 TPC-MEOH fermented correlation coefficient:0.6907772111770509 error: 0.10124972471697807 p: 8.9463696660193e-12 nonfermented correlation coefficient: 0.21863626031266953 error: 0.14233599637989416 300 350 400 p: 0.12452430345122018 a. Which type(s) of tea samples (fermented or unfermented) show correlations between the two variables? How is the correlation (or non-correlation) of the two types related to the shape of the ellipses in the figure? b. Suppose that you want to distinguish fermented and unfermented samples based only one of the two variables (TPC or TEAC). Based on what the graph shows, which variable should you choose in order to best distinguish between the two? Justify your answer.
Transcribed Image Text:TEAC-MEOH 2500 2000 1500 1000 500 讯 FR NF 50 Tea Samples of Methanol 100 150 250 200 TPC-MEOH fermented correlation coefficient:0.6907772111770509 error: 0.10124972471697807 p: 8.9463696660193e-12 nonfermented correlation coefficient: 0.21863626031266953 error: 0.14233599637989416 300 350 400 p: 0.12452430345122018 a. Which type(s) of tea samples (fermented or unfermented) show correlations between the two variables? How is the correlation (or non-correlation) of the two types related to the shape of the ellipses in the figure? b. Suppose that you want to distinguish fermented and unfermented samples based only one of the two variables (TPC or TEAC). Based on what the graph shows, which variable should you choose in order to best distinguish between the two? Justify your answer.
Generally, if two variables are correlated then they give similar information about the samples. In two variables are being used for classification and the two variables are correlated differently for the different classes, then that may assist in separating the two classes because it may reduce the overlap between confidence ellipses. Exercise 4 Sketch (on paper or using a computer application) a 2-d plot representing the confidence ellipses for two classes with two variables. In your sketch, show a case where the two individual variables have similar distributions in the two classes, but the area of overlap between confidence ellipses is reduced becuse the variables are correlated differently in the different classes.
Transcribed Image Text:Generally, if two variables are correlated then they give similar information about the samples. In two variables are being used for classification and the two variables are correlated differently for the different classes, then that may assist in separating the two classes because it may reduce the overlap between confidence ellipses. Exercise 4 Sketch (on paper or using a computer application) a 2-d plot representing the confidence ellipses for two classes with two variables. In your sketch, show a case where the two individual variables have similar distributions in the two classes, but the area of overlap between confidence ellipses is reduced becuse the variables are correlated differently in the different classes.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS