(b)For which data set is the sample correlation coefficient r equal to -1? CHOOSE ONE:u, v data setw, t data setnone of the data sets(m, n data set & x, y data set answer is wrong) Wt111.0 6.7 10+9+2.0 9.58+3.0 3.97+4.0 9.0 655.04.746.0 2.1 327.0 6.218.0 10.29.0 5.010.0 8.1 Figure 30XX22345the w, t data setX6the x, y data setXXXW8 9 10 11mn1.0 7.82.0 7.33.0 7.64.0 6.25.0 6.96.0 4.47.0 4.88.0 3.99.0 4.510.0 3.3 Figure 4(a) For which data set is the sample correlation coefficient r closest to 0?1110(b) For which data set is the sample correlation coefficient r equal to 1?9876543210XX34Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response maybe the correct answer for more than one question.6m8 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 ofsample values drawn from a population.Xy 111.0 7.4 10.92.0 9.083.0 7.474.0 5.4655.0 8.046.0 4.7 327.0 4.518.0 7.39.0 5.810.0 3.6 Figure 1X0 1W t1.0 6.7 10-92.0 9.583.0 3.974.09.0655.04.7X2XXX3XX4X5Xx x6 7XXX8 9XX10 11XXи1.0 3.32.0 3.93.0 3.34.0 4.95.0 4.56.0 7.27.0 6.08.0 7.79.0 7.210.0 8.2 Figure 2m n1.0 7.82.0 7.33.0 7.64.0 6.25.0 6.91110+9-8+7-6+5-3-2.10Vn1110+9-8+7+6+5.43 4S678910 11U

Answered: (b)For which data set is the sample…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

(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

(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.

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