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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
Related questions
Question
![10:33
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.
Ay
20-
0-
0
B.
Ay
|||
20-
=
0+
0
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r =
10
Because the correlation coefficient is
than the critical value for this data set,
(Round to three decimal places as needed.)
C.
20-
(c) Determine whether there is a linear relation between x and y.
0-
(Round to three decimal places as needed.)
10
O
Vo) 1
2 ... 46 ... - 15%
Q
O D.
Ау
20+
and the absolute value of the correlation coefficient,, is
linear relation exists between x and y.
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1744f054-b1da-4685-830c-28a0fcf2721f%2F88d8990e-68ee-43d3-a6b5-5e87c32455c4%2F91729bk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10:33
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.
Ay
20-
0-
0
B.
Ay
|||
20-
=
0+
0
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r =
10
Because the correlation coefficient is
than the critical value for this data set,
(Round to three decimal places as needed.)
C.
20-
(c) Determine whether there is a linear relation between x and y.
0-
(Round to three decimal places as needed.)
10
O
Vo) 1
2 ... 46 ... - 15%
Q
O D.
Ау
20+
and the absolute value of the correlation coefficient,, is
linear relation exists between x and y.
10
![Critical Values for Correlation Coefficient
n
3
0.997
4 0.950
5 0.878
0.811
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
6
7
29 0.367
30 0.361
n
Data set
X
y
2
4
4
8
6
12
6
12
7
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1744f054-b1da-4685-830c-28a0fcf2721f%2F88d8990e-68ee-43d3-a6b5-5e87c32455c4%2Ftzp128s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Critical Values for Correlation Coefficient
n
3
0.997
4 0.950
5 0.878
0.811
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
6
7
29 0.367
30 0.361
n
Data set
X
y
2
4
4
8
6
12
6
12
7
20
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