A random sample of 40 oak trees was studied by a biologist. She recorded the height hhh in meters and the trunk diameter ddd in centimeters of each tree.
The following summary statistics were calculated from these data:
∑h=680,∑h2=11776,∑d=1440,∑hd=25012,Sdd=2240 \sum h = 680, \quad \sum h^2 = 11776, \quad \sum d = 1440, \quad \sum hd = 25012, \quad S_{dd} = 2240 ∑h=680,∑h2=11776,∑d=1440,∑hd=25012,Sdd=2240Find ShhS_{hh}Shh and ShdS_{hd}Shd.
Calculate, to 3 significant figures, the product moment correlation coefficient between hhh and ddd.
Give an interpretation of your coefficient in the context of the biologist's study.
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.