MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Computer the linear correlation coefficient for each data set.

Draw a scatter diagram for each data set. Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of brivariate data.

tion coefficient.
37. Draw Your Data! Consider the four data sets shown below.
44
ir
Data Set 1
Data Set 2 Data Set 3
S
Data Set 4
ti
x
y
X
y
X
y
X
y
10
8.04
10
9.14
10
7.46
8
6.58
8
6.95
8
8.14
8
6.77
8
5.76
13 7.58
13
8.74
13
12.74
8
7.71
9
8.81
9
8.77
9
7.11
8
8.84
11
8.33
11
9.26
11
7.81
8
8.47
14
9.96
14
8.10
14
8.84
8
7.04
6
7.24
6
6.13
6
6.08
8
5.25
4
4.26
4
3.10
4
5.39
8
5.56
12
10.84
12
9.13
12
8.15
8
7.91
7
4.82
7
7.26
7
6.42
8
6.89
5
5.68
5 4.47 5
5.73 19
12.50
Source: Frank Anscombe. "Graphs in Statistical Analysis,"
American Statistician 27: 17-21, 1993.
(a) Compute the linear correlation coefficient for each data set.
(b) Draw a scatter diagram for each data set. Conclude that
linear correlation coefficients and scatter diagrams must be
used together in any statistical analysis of bivariate data.
N
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Transcribed Image Text:tion coefficient. 37. Draw Your Data! Consider the four data sets shown below. 44 ir Data Set 1 Data Set 2 Data Set 3 S Data Set 4 ti x y X y X y X y 10 8.04 10 9.14 10 7.46 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.10 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.10 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.47 5 5.73 19 12.50 Source: Frank Anscombe. "Graphs in Statistical Analysis," American Statistician 27: 17-21, 1993. (a) Compute the linear correlation coefficient for each data set. (b) Draw a scatter diagram for each data set. Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of bivariate data. N
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