A chemical engineer is investigating the relationship between the reaction temperature $T$ , in degrees Celsius, and the volume of byproduct $V$ , in millilitres, produced in a specific industrial process. A sample of 50 reactions was monitored and the results were recorded.

The following summary statistics were calculated from these data:

\sum T = 1250, \quad \sum T^2 = 32000, \quad \sum V = 8000, \quad \sum TV = 198400, \quad S_{VV} = 4500

Find $S_{TT}$ and $S_{TV}$ .

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

Give an interpretation of your coefficient in the context of the engineer's study.

The following summary statistics were calculated from these data:

\sum T = 1250, \quad \sum T^2 = 32000, \quad \sum V = 8000, \quad \sum TV = 198400, \quad S_{VV} = 4500

Find $S_{TT}$ and $S_{TV}$ .

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

Give an interpretation of your coefficient in the context of the engineer's study.

2.2.2 Scatter diagrams and correlation

Question 26

Markscheme

2.2.2 Scatter diagrams and correlation

Question 26

Markscheme

2.2.2 Scatter diagrams and correlation

Question 26

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 26

2.2.2 Scatter diagrams and correlation Questions