For the accompanying data set, draw a scatter diagram of the data. x 2 6 6 7
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Question:
For the accompanying data set, draw a scatter diagram of the data.
x | 2 | 6 | 6 | 7 | 9 |
y | 3 | 2 | 6 | 9 | 5 |
B. by hand compute the correlation coefficient. r = _____
C. Fill in the blanks: Because the correlation coefficient is (positive or negative) and the absolute value of the correlation coefficient, ____, is (greater or not greater) than the critical value for this data set,___, (no, a positive, or a negative) linear relation exists between x and y.
Critical values for the correlation coefficient table
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 |
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