A marine biologist is studying the relationship between ocean depth and water temperature. She takes readings at 10 different sites in a specific region of the North Atlantic. The depth DDD (in metres) and the water temperature TTT (in ∘^{\circ}∘C) are recorded for each site.
| Site | A | B | C | D | E | F | G | H | I | J |
|---|---|---|---|---|---|---|---|---|---|---|
| Depth DDD (m) | 100 | 250 | 400 | 550 | 700 | 850 | 1000 | 1150 | 1300 | 1450 |
| Temp TTT (∘^{\circ}∘C) | 18.5 | 16.1 | 12.4 | 13.2 | 10.5 | 9.1 | 7.4 | 4.8 | 5.2 | 3.9 |
Calculate Spearman's rank correlation coefficient for these data.
Stating your hypotheses clearly, test at the 5% level of significance whether there is evidence of a negative correlation between ocean depth and water temperature. State the critical value used.
A researcher suggests that if the surface water is artificially heated, the ocean depth at that location will automatically decrease. Comment on this suggestion.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.