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(b)For which data set is the sample correlation coefficient r equal to -1?  CHOOSE ONE: u, v data set w, t data set none of the data sets (m, n data set & x, y data set answer is wrong

(b)For which data set is the sample correlation coefficient r equal to -1?  CHOOSE ONE: u, v data set w, t data set none of the data sets (m, n data set & x, y data set answer is wrong

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
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(b)For which data set is the sample correlation coefficient r equal to -1? 

CHOOSE ONE:

u, v data set

w, t data set

none of the data sets

(m, n data set & x, y data set answer is wrong)

W t 11 1.0 6.7 10+ 9+ 2.0 9.5 8+ 3.0 3.9 7+ 4.0 9.0 6 5 5.0 4.7 4 6.0 2.1 3 2 7.0 6.2 1 8.0 10.2 9.0 5.0 10.0 8.1 Figure 3 0 X X 2 2 3 4 5 the w, t data set X 6 the x, y data set X X X W 8 9 10 11 m n 1.0 7.8 2.0 7.3 3.0 7.6 4.0 6.2 5.0 6.9 6.0 4.4 7.0 4.8 8.0 3.9 9.0 4.5 10.0 3.3 Figure 4 (a) For which data set is the sample correlation coefficient r closest to 0? 11 10 (b) For which data set is the sample correlation coefficient r equal to 1? 9 8 7 6 5 4 3 2 1 0 X X 3 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. 6 m 8 9 10 11 × Ś
Transcribed Image Text:W t 11 1.0 6.7 10+ 9+ 2.0 9.5 8+ 3.0 3.9 7+ 4.0 9.0 6 5 5.0 4.7 4 6.0 2.1 3 2 7.0 6.2 1 8.0 10.2 9.0 5.0 10.0 8.1 Figure 3 0 X X 2 2 3 4 5 the w, t data set X 6 the x, y data set X X X W 8 9 10 11 m n 1.0 7.8 2.0 7.3 3.0 7.6 4.0 6.2 5.0 6.9 6.0 4.4 7.0 4.8 8.0 3.9 9.0 4.5 10.0 3.3 Figure 4 (a) For which data set is the sample correlation coefficient r closest to 0? 11 10 (b) For which data set is the sample correlation coefficient r equal to 1? 9 8 7 6 5 4 3 2 1 0 X X 3 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. 6 m 8 9 10 11 × Ś
(b): Your answer is incorrect. Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. X y 11 1.0 7.4 10. 9 2.0 9.0 8 3.0 7.4 7 4.0 5.4 6 5 5.0 8.0 4 6.0 4.7 3 2 7.0 4.5 1 8.0 7.3 9.0 5.8 10.0 3.6 Figure 1 X 0 1 W t 1.0 6.7 10- 9 2.0 9.5 8 3.0 3.9 7 4.0 9.0 6 5 5.0 4.7 X 2 X X X 3 X X 4 X 5 X x x 6 7 X X X 8 9 X X 10 11 X X и 1.0 3.3 2.0 3.9 3.0 3.3 4.0 4.9 5.0 4.5 6.0 7.2 7.0 6.0 8.0 7.7 9.0 7.2 10.0 8.2 Figure 2 m n 1.0 7.8 2.0 7.3 3.0 7.6 4.0 6.2 5.0 6.9 11 10+ 9- 8+ 7- 6+ 5- 3- 2. 1 0 V n 11 10+ 9- 8+ 7+ 6+ 5. 4 3 4 S 6 7 8 9 10 11 U
Transcribed Image Text:(b): Your answer is incorrect. Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. X y 11 1.0 7.4 10. 9 2.0 9.0 8 3.0 7.4 7 4.0 5.4 6 5 5.0 8.0 4 6.0 4.7 3 2 7.0 4.5 1 8.0 7.3 9.0 5.8 10.0 3.6 Figure 1 X 0 1 W t 1.0 6.7 10- 9 2.0 9.5 8 3.0 3.9 7 4.0 9.0 6 5 5.0 4.7 X 2 X X X 3 X X 4 X 5 X x x 6 7 X X X 8 9 X X 10 11 X X и 1.0 3.3 2.0 3.9 3.0 3.3 4.0 4.9 5.0 4.5 6.0 7.2 7.0 6.0 8.0 7.7 9.0 7.2 10.0 8.2 Figure 2 m n 1.0 7.8 2.0 7.3 3.0 7.6 4.0 6.2 5.0 6.9 11 10+ 9- 8+ 7- 6+ 5- 3- 2. 1 0 V n 11 10+ 9- 8+ 7+ 6+ 5. 4 3 4 S 6 7 8 9 10 11 U
Expert Solution
Step 1: Explain the basic information.

The question is about correlation,

Introduction :

Correlation :

1 ) It is measure of linear relationship between two variables.

2 ) It is denoted by r

3 ) negative 1 space less or equal than space r space less or equal than space 1

4 ) There are 3 main types of correlation : Positive, negative and No correlation

5 ) Scatterplot is the best graphical way to represent the correlation.


To find :

a ) b ) For which data set the value of sample correlation value is closest to 0

b ) For which data set the value of sample correlation value is equal to -1.

steps

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