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 $d$ .

1.2 Measuring Correlation

Question 24

Markscheme

1.2 Measuring Correlation

Question 24

Markscheme

1.2 Measuring Correlation

Question 24

1.2 Measuring Correlation Questions

1.2 Measuring Correlation

Question 24

1.2 Measuring Correlation Questions