Question 43 – 2.2.2 Scatter diagrams and correlation - Questions

An environmental study measures the nitrogen concentration, $x$ mg/L, and the dissolved oxygen level, $y$ mg/L, at 15 different sites along an industrial canal. The data are summarised as follows:

$S_{xx} = 2\,400$ $020\sum y = 1\,020$ $400\sum y^2 = 72\,400$ $S_{xy} = -1\,950$

Determine the value of $S_{yy}$ .

Calculate the product moment correlation coefficient for these data, giving your answer to 3 significant figures.

Interpret the value of the correlation coefficient in the context of the study.

A scientist converts the nitrogen concentration into grams per litre, $w$ , such that $\frac{x}{1000}$ .

State the value of $S_{ww}$ .

State the value of the product moment correlation coefficient between $w$ and $y$ .

An environmental study measures the nitrogen concentration, $x$ mg/L, and the dissolved oxygen level, $y$ mg/L, at 15 different sites along an industrial canal. The data are summarised as follows:

$S_{xx} = 2\,400$ $020\sum y = 1\,020$ $400\sum y^2 = 72\,400$ $S_{xy} = -1\,950$

Determine the value of $S_{yy}$ .

Calculate the product moment correlation coefficient for these data, giving your answer to 3 significant figures.

Interpret the value of the correlation coefficient in the context of the study.

A scientist converts the nitrogen concentration into grams per litre, $w$ , such that $\frac{x}{1000}$ .

State the value of $S_{ww}$ .

State the value of the product moment correlation coefficient between $w$ and $y$ .

2.2.2 Scatter diagrams and correlation

Question 39

2.2.2 Scatter diagrams and correlation

Question 39

2.2.2 Scatter diagrams and correlation

Question 39

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 39

2.2.2 Scatter diagrams and correlation Questions