(a) Draw a scatter diagram of the data. Choose the correct graph below.
A. 0 10 0 10 x y 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 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 1); (9, 5).
B. 0 10 0 10 x y 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 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 9); (9, 5).
C. 0 10 0 10 x y 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 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 4); (9, 5).
D. 0 10 0 10 x y 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 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 6); (9, 5).
(b) Compute the correlation coefficient. The correlation coefficient is r = _______. (Round to three decimal places asneeded.)
(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 correlationcoefficient, nothing, is _______▼( greater, not greater) than the critical value for this data set, _____ nothing,_________ (a positive, a negative, no) linear relation exists between x and y.(Round to three decimal places as needed.)
|
x |
2 |
4 |
6 |
6 |
7 |
|
|---|---|---|---|---|---|---|
|
y |
4 |
8 |
12 |
14 |
18 |
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 |
