A marine biologist measured the dissolved oxygen level, ddd mg/L, at various depths, hhh meters, in a specific estuary. Data from a random sample of 10 locations are summarized as follows:
∑h=155∑h2=2875∑d=62.4Sdd=18.2∑hd=884.2 \sum h = 155 \quad \sum h^2 = 2875 \quad \sum d = 62.4 \quad S_{dd} = 18.2 \quad \sum hd = 884.2 ∑h=155∑h2=2875∑d=62.4Sdd=18.2∑hd=884.2Calculate the values of ShhS_{hh}Shh and ShdS_{hd}Shd.
Calculate, to 3 significant figures, the product moment correlation coefficient between hhh and ddd.
The biologist also measured the water temperature, ttt °C, at the same 10 locations. The product moment correlation coefficient between hhh and ttt was found to be −0.915-0.915−0.915.
Describe, giving a reason, the nature of the correlation you would expect to find between temperature (ttt) and dissolved oxygen (ddd).
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.