Question

​(a) Draw a scatter diagram of the data. Choose the correct graph below.

A.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 12); (7, 14); (8, 18).

B.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 12); (7, 9); (8, 18).

C.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 18); (4, 14); (7, 12); (7, 8); (8, 4).

D.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 18); (4, 9); (7, 12); (7, 8); (8, 4).

​(b) By​ hand, compute the correlation coefficient.

The correlation coefficient is

requals=nothing.

​(Round to three decimal places as​ needed.)

​(c) Determine whether there is a linear relation between x and y.

Because the correlation coefficient is

▼

negative

positive

and the absolute value of the correlation​ coefficient,

nothing​,

is

▼

greater

not greater

than the critical value for this data​ set,

nothing​,

▼

no

a negative

a positive

linear relation exists between x and y.

​

x	22	44	66	66	77

Critical Values for Correlation Coefficient

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
n

Answer 1

A)

B)

C)

D)