In: Statistics and Probability
Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x | y |
---|---|
1 | 7.58 |
2 | 7.32 |
3 | 9.06 |
4 | 8.1 |
5 | 5.84 |
6 | 6.58 |
7 | 8.32 |
8 | 4.46 |
9 | 5.9 |
10 | 7.44 |
11 | 3.48 |
12 | 4.02 |
13 | 3.16 |
14 | 2.3 |
Number of observation (n) =14
1 | 7.58 | 1 | 57.4564 | 7.58 |
2 | 7.32 | 4 | 53.5824 | 14.64 |
3 | 9.06 | 9 | 82.0836 | 27.18 |
4 | 8.1 | 16 | 65.6100 | 32.4 |
5 | 5.84 | 25 | 34.1056 | 29.2 |
6 | 6.58 | 36 | 43.2964 | 39.48 |
7 | 8.32 | 49 | 69.2224 | 58.24 |
8 | 4.46 | 64 | 19.8916 | 35.68 |
9 | 5.9 | 81 | 34.8100 | 53.1 |
10 | 7.44 | 100 | 55.3536 | 74.4 |
11 | 3.48 | 121 | 12.1104 | 38.28 |
12 | 4.02 | 144 | 16.1604 | 48.24 |
13 | 3.16 | 169 | 9.9856 | 41.08 |
14 | 2.3 | 196 | 5.2900 | 32.2 |