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.

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Author:Amos Gilat
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Critical Values for Correlation Coefficient
n
3
4
0.997
0.950
5 0.878
6
0.811
7
0.754
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
30 0.361
n
Dala set
X
y
2
4
4
8
6
11
6
13
7
19
Transcribed Image Text:Critical Values for Correlation Coefficient n 3 4 0.997 0.950 5 0.878 6 0.811 7 0.754 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 30 0.361 n Dala set X y 2 4 4 8 6 11 6 13 7 19
1:02
(a) Draw a scatter diagram of the data. Choose the correct graph below.
K
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.
A.
Ау
20+
0-
10
OB.
Ау
|||
20+
=
0-
Print
Because the correlation coefficient is
than the critical value for this data set,
(Round to three decimal places as needed.)
Critical Values for Correlation Coefficient
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.
n
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
Critical values for the correlation coefficient
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
30 0.361
n
C.
Done
20
Ay
O
0-
VO) 1
4G 22%
Q
and the absolute value of the correlation coefficient, is
linear relation exists between x and y.
D.
Ау
20+
0-
Transcribed Image Text:1:02 (a) Draw a scatter diagram of the data. Choose the correct graph below. K 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. A. Ау 20+ 0- 10 OB. Ау ||| 20+ = 0- Print Because the correlation coefficient is than the critical value for this data set, (Round to three decimal places as needed.) Critical Values for Correlation Coefficient 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. n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 Critical values for the correlation coefficient 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 30 0.361 n C. Done 20 Ay O 0- VO) 1 4G 22% Q and the absolute value of the correlation coefficient, is linear relation exists between x and y. D. Ау 20+ 0-
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