For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
For the accompanying data set, (a) draw a
Transcribed Image Text:Critical values for the correlation coefficient
F
rrelation coefficient, and (c) determine whether there is a linear relation between x and
у.
Critical Values for Correlation Coefficient
3
0.997
4
0.950
C.
D.
0.878
Ay
20-
6
0.811
7
0.754
1
Data set
8.
0.707
9
0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
0-
10
X
4
7
(E
y
4
8
11
14
20
Print
Done
B
is
than the critical value for this data set,
linear relation exists between x and y.
(F
30 Lo 361.
(1,1)
More
Print
Done
Transcribed Image Text:For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Click here to view the data set
Click here to view the critical values table.
(a) Draw a scatter diagram of the data. Choose the correct graph below.
A.
В.
C.
D.
Ay
20-
Ay
20-
Ay
20-
Ay
20-
0-
0+
0-
0+
10
10
10
10
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r= |. (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
than the critical value for this data set,
linear relation exists between x and y.
(Round to three decimal places as needed.)
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