6 Fiona and James collected the results for six hockey teams at the end of the season. They then carried out various calculations using Spearman's rank correlation coefficient, \(r _ { s }\).
- Fiona calculated the value of \(r _ { s }\) between the number of goals scored FOR each team and the number of goals scored AGAINST each team. She found that \(r _ { s } = - 1\). Complete the table in the answer book showing the ranks.
| Team | A | B | C | D | E | F |
| Number of goals FOR (rank) | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of goals AGAINST (rank) | | | | | | |
- James calculated the value of \(r _ { s }\) between the number of goals scored and the number of points gained by the 6 teams. He found the value of \(r _ { s }\) to be 1 . He then decided to include the results of another two teams in the calculation of \(r _ { s }\). The table shows the ranks for these two teams.
| Team | G | H |
| Number of goals scored (rank) | 7 | 8 |
| Number of points gained (rank) | 8 | 7 |
Calculate the value of \(r _ { s }\) for all 8 teams.