Correlation describes the extent to which the relationship is close to a linear relationship.

Checking understanding of correlation

Maths

In the prior unit, pupils explored different graphs and charts as a way of presenting data visually. Pupils were introduced to scatter graphs and learnt how to construct them. In this unit, this understanding is extended to using a line of best fit to allow interpolation.

Graphical representations of data: scatter graphs and time series

{{}} describes the extent to which a relationship between two variables is close to a linear relationship.

Select the scatter graphs which show an association between the two variables.

Which of these scatter graphs show a positive correlation?

This scatter graph shows the number of hours revision and the marks scored in a maths test by a group of year 10 Oak students. The scatter graph shows {{ }} correlation.

No, correlation means one variable causes the other to decrease.

Yes, one variable cause the other variable to increase.

Yes, the change in both variables might be caused by a third variable.

Laura says, ‘A negative correlation does not always mean that one variable is causing the decrease in the other variable.” Is Laura correct?

As median income increases, median house prices also increase.

As median house prices increase, median income also increases.

As median income decreases, median house prices increase.

As median house prices decrease, median income increases.

There is no correlation between median house prices and median income.

This scatter graph shows data taken from the ONS about regions in the UK. Select the correct statement.

A scatter graph is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the two {{}}.

What is a variable that is predicted to be affected by another variable called?

Match each type of variable to the axis it should be plotted on.

The table contains data taken from the Met Office about weather in Stornoway. Sofia plots a scatter graph with sunshine as the dependent variable.  What coordinates should she plot for June?

The graph shows travel data from the  ONS about the commuting  distance and the total number of bus journeys in 2023 for different regions of the UK. Which point shows the highest commuting distance?

Regions in the South have a lower median house price.

Point D represents the highest median income in the North.

Point A represents the lowest median income in the South.

As median income increases, house prices tend to decrease

Point B represents the highest median house price in the South.

The scatter graph shows data taken from the ONS about house prices and annual income. Each point represents a region in England in 2023. Select the correct statements.

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