A chemical engineer monitors the efficiency of an industrial reactor. Each batch begins with 250 kg of a liquid solvent. Over $n = 10$ trial runs, the engineer records the mean operating temperature, $x$ $∘C^\circ\text{C}$ , and the mass of solvent that evaporates, $kgy\text{ kg}$ . The following summary statistics are obtained:

\sum x = 850, \quad \sum y = 120, \quad \sum xy = 10425, \quad S_{xx} = 650, \quad S_{yy} = 115

Calculate the product moment correlation coefficient between $x\,$ and $y$ .

The mass of liquid solvent remaining in the reactor at the end of each run is $kgw\text{ kg}$ . (i) Write down an equation for $w\,$ in terms of $y$ . (ii) State the value of the product moment correlation coefficient between $w\,$ and $y$ .

State the value of the product moment correlation coefficient between $x\,$ and $w$ .

\sum x = 850, \quad \sum y = 120, \quad \sum xy = 10425, \quad S_{xx} = 650, \quad S_{yy} = 115

Calculate the product moment correlation coefficient between $x\,$ and $y$ .

State the value of the product moment correlation coefficient between $x\,$ and $w$ .

2.2.2 Scatter diagrams and correlation

Question 33

Markscheme

2.2.2 Scatter diagrams and correlation

Question 33

Markscheme

2.2.2 Scatter diagrams and correlation

Question 33

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 33

2.2.2 Scatter diagrams and correlation Questions