Question

Please help me with part C.

For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y.

​(b) Compute the correlation coefficient.

The correlation coefficient is

requals=0.397

​(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, 0.397 is ____ than the critical value for this data​ set, ____nothing​, ____ linear relation exists between x and y.

Data sets are as follows:

x   y
2   3
6   7
1   6
7   9
9   5

Critical Value Set

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
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

Answer 1

Ans:

c)

n=5

df=5-2=3

use alpha=0.05

critical r value=0.878

(see table for critical r value)

The absolute value of the correlation​ coefficient, 0.397 is less than the critical value for this data​ set, 0.878​,No linear relation exists between x and y.