Question
(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
(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 |
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