A marine biologist is researching the relationship between the depth, $d$ (metres), of a specific reef and the biodiversity index, $b$ , of the surrounding ecosystem. Data is collected from 8 distinct locations as shown in the table below.

Depth $d$ (m)	5	12	20	35	45	60	75	90
Index $b$	7.9	8.2	5.8	6.3	4.4	3.1	2.5	1.2

Calculate the Spearman's rank correlation coefficient between $d$ and $b$ .

The biologist's initial hypothesis was that there would be no correlation between depth and biodiversity index.

Test, at the 5% level of significance, the biologist's claim. State your hypotheses clearly. (The critical value for sample size $n = 8$ at the 5% two-tailed level is 0.7381).

Depth $d$ (m)	5	12	20	35	45	60	75	90
Index $b$	7.9	8.2	5.8	6.3	4.4	3.1	2.5	1.2

Calculate the Spearman's rank correlation coefficient between $d$ and $b$ .

The biologist's initial hypothesis was that there would be no correlation between depth and biodiversity index.

Test, at the 5% level of significance, the biologist's claim. State your hypotheses clearly. (The critical value for sample size $n = 8$ at the 5% two-tailed level is 0.7381).

2.2.2 Scatter diagrams and correlation

Question 66

Markscheme

2.2.2 Scatter diagrams and correlation

Question 66

Markscheme

2.2.2 Scatter diagrams and correlation

Question 66

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 66

2.2.2 Scatter diagrams and correlation Questions