A chemical engineer is investigating the relationship between the temperature of a solvent, $T$ (in $∘C^\circ\text{C}$ ), and the mass of a specific solute that dissolves in it, $d$ (in grams). A random sample of 15 trials was conducted, and the following summary statistics were recorded:

\sum T = 975 \quad \sum T^2 = 64125 \quad \sum d = 420 \quad S_{dd} = 560 \quad \sum Td = 27930

Find the values of $S_{TT}$ and $S_{Td}$ .

Calculate, to 3 significant figures, the product moment correlation coefficient between $T$ and $d$ .

The engineer also measured the viscosity of the solvent, $v$ , during these 15 trials. The product moment correlation coefficient between $T$ and $v$ was found to be $- 0.552$ .

Describe, giving a reason, the nature of the correlation you would expect to find between $v$ and $d$ .

\sum T = 975 \quad \sum T^2 = 64125 \quad \sum d = 420 \quad S_{dd} = 560 \quad \sum Td = 27930

Find the values of $S_{TT}$ and $S_{Td}$ .

Calculate, to 3 significant figures, the product moment correlation coefficient between $T$ and $d$ .

The engineer also measured the viscosity of the solvent, $v$ , during these 15 trials. The product moment correlation coefficient between $T$ and $v$ was found to be $- 0.552$ .

Describe, giving a reason, the nature of the correlation you would expect to find between $v$ and $d$ .

2.2.2 Scatter diagrams and correlation

Question 23

Markscheme

2.2.2 Scatter diagrams and correlation

Question 23

Markscheme

2.2.2 Scatter diagrams and correlation

Question 23

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 23

2.2.2 Scatter diagrams and correlation Questions