Question 17 You are given the following sample data for two
Question 17,
You are given the following sample data for two variables:
The sample correlation coefficient for these data is approximately r = 0.755.
| Y | X |
| 10 | 100 |
| 8 | 110 |
| 12 | 90 |
| 15 | 200 |
| 16 | 150 |
| 10 | 100 |
| 10 | 80 |
| 8 | 90 |
| 12 | 150 |
Solution
Hence r=0.755 is true.
| X | Y | XY | XX | YY |
| 100 | 10 | 1000 | 10000 | 100 |
| 110 | 8 | 880 | 12100 | 64 |
| 90 | 12 | 1080 | 8100 | 144 |
| 200 | 15 | 3000 | 40000 | 225 |
| 150 | 16 | 2400 | 22500 | 256 |
| 100 | 10 | 1000 | 10000 | 100 |
| 80 | 10 | 800 | 6400 | 100 |
| 90 | 8 | 720 | 8100 | 64 |
| 150 | 12 | 1800 | 22500 | 144 |
| 1070 | 101 | 12680 | 139700 | 1197 |
