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 11PPS
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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.

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: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
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.)
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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