For the accompanying data? set, (a) draw a scatter diagram ofthe? data, (b) compute the correlation? coefficient, and? (c)determine whether there is a linear relation between x and y.
Data set
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 |
Compute the correlation coefficient.
The correlation coefficient is
r=__?__.
?(Round to three decimal places as? needed.)
