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. O A. OB. Oc. OD. 20- 20- 20- (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 V and the absolute value of the correlation coefficient,, is than the critical value for this data set, V linear relation exists between x and y. (Round to three decimal places as ne positive negative Data set 4 6 6 7 y 4 8 12 13 18
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. O A. OB. Oc. OD. 20- 20- 20- (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 V and the absolute value of the correlation coefficient,, is than the critical value for this data set, V linear relation exists between x and y. (Round to three decimal places as ne positive negative Data set 4 6 6 7 y 4 8 12 13 18
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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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.
O A.
В.
O C.
)D.
Ay
20-
Ay
20-
Ay
20-
Ay
20-
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 ne
positive
- X
negative
Data set
2
4
6
7
4
12
13
18
+ 00
Transcribed Image Text:relation coefficient, and (c) determine whether there is a linear relation between x and y.
Critical values for the correlation coefficient
.....
Critical Values for Correlation Coefficient
n
C.
D.
3
0.997
Ay
20-
4
0.950
20-
0.878
0.811
7
0.754
8
0.707
9
0.666
0-
0-
10
10
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
than the critical value for this data set,
linear relation exists between x and y.
greater
25 0.396
not greater
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
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