Skip to content

Course home

Sign up

2.2.2 Scatter diagrams and correlation

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182
Question 72

The monthly rainfall, xxx mm, and the average wind speed, yyy knots, were recorded in 10 coastal locations over a period of one month. The data are summarised below:

Sxx=4 225S_{xx} = 4\,225Sxx​=4225 ∑y=145\sum y = 145∑y=145 ∑y2=2 250\sum y^2 = 2\,250∑y2=2250 Sxy=652.5S_{xy} = 652.5Sxy​=652.5

a.

Find SyyS_{yy}Syy​.

[2]
b.

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

[2]
c.

Give an interpretation of your coefficient in context.

[2]
d.

A researcher decides to use the variable www to represent rainfall in centimetres, where w=x10w = \frac{x}{10}w=10x​.

Write down the value of SwwS_{ww}Sww​.

[2]
e.

Write down the value of the product moment correlation coefficient between www and yyy.

[2]
Markscheme

2.2.2 Scatter diagrams and correlation Questions

  1. A Level
  2. /Maths
  3. /2.2.2 Scatter diagrams and correlation

157 exam-style questions on AQA A Level Maths 2.2.2 Scatter diagrams and correlation. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank