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.

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
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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.
 
Question Help
- X
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.
Critical values for the correlation coefficient
Click here to view the data set.
Click here to view the critical values table.
Critical Values for Correlation Coefficient
(a) Draw a scatter diagram of the data. Choose the correct graph below.
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
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
O A.
OB.
OC.
Av
20-
20-
20-
0+
0-
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.
17 0.482
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
V than the critical value for this data set,
V linear relation
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
(Round to three decimal places as needed.)
i Data set
- X
26 0.388
27 0.381
28 0.374
29 | 0.367
30 0.361
4
6.
7
y
8
10
14
20
n
Print
Done
Print
Done
Cliel to golo
onowor(o)
Transcribed Image Text:Question Help - X 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. Critical values for the correlation coefficient Click here to view the data set. Click here to view the critical values table. Critical Values for Correlation Coefficient (a) Draw a scatter diagram of the data. Choose the correct graph below. 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 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 O A. OB. OC. Av 20- 20- 20- 0+ 0- 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. 17 0.482 Because the correlation coefficient is and the absolute value of the correlation coefficient, is V than the critical value for this data set, V linear relation 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 (Round to three decimal places as needed.) i Data set - X 26 0.388 27 0.381 28 0.374 29 | 0.367 30 0.361 4 6. 7 y 8 10 14 20 n Print Done Print Done Cliel to golo onowor(o)
Question Help
- X
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.
Critical values for the correlation coefficient
Click here to view the data set.
Click here to view the critical values table.
Critical Values for Correlation Coefficient
(a) Draw a scatter diagram of the data. Choose the correct graph below.
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
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
O A.
OB.
OC.
Av
20-
20-
20-
0+
0-
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.
17 0.482
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
V than the critical value for this data set,
V linear relation
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
(Round to three decimal places as needed.)
i Data set
- X
26 0.388
27 0.381
28 0.374
29 | 0.367
30 0.361
4
6.
7
y
8
10
14
20
n
Print
Done
Print
Done
Cliel to golo
onowor(o)
Transcribed Image Text:Question Help - X 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. Critical values for the correlation coefficient Click here to view the data set. Click here to view the critical values table. Critical Values for Correlation Coefficient (a) Draw a scatter diagram of the data. Choose the correct graph below. 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 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 O A. OB. OC. Av 20- 20- 20- 0+ 0- 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. 17 0.482 Because the correlation coefficient is and the absolute value of the correlation coefficient, is V than the critical value for this data set, V linear relation 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 (Round to three decimal places as needed.) i Data set - X 26 0.388 27 0.381 28 0.374 29 | 0.367 30 0.361 4 6. 7 y 8 10 14 20 n Print Done Print Done Cliel to golo onowor(o)
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