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 Statistics

Question 271

Markscheme

2 Statistics

Question 271

Markscheme

2 Statistics

Question 271

2 Statistics Questions

2 Statistics

Question 271

2 Statistics Questions