AQA · A-Level · Geography

    Course version: 7037 · Version from Sept 2018

    Graphical skills: Scatter graphs, and the use of best fit line.

    Scatter graphs plot paired numerical data to investigate the correlation between two continuous variables, such as GDP per capita and life expectancy.

    Checked against the AQA 7037 specification (opens in a new tab) on .

    • Point 3 of 7
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Scatter graphs plot paired numerical data to investigate the correlation between two continuous variables, such as GDP per capita and life expectancy. Each point represents a single observation on the x and y axes. A line of best fit is drawn through the centre of the data cluster to visually represent the trend, ensuring a roughly equal number of points lie above and below the line. This line identifies whether the correlation is positive, negative, or non-existent, and indicates relationship strength based on how closely points cluster around it. The line of best fit is also used to estimate values within the data range (interpolation) and to spot anomalous results that deviate significantly from the general trend.

    What earns the marks

    • Plotting coordinates accurately on both the x and y axes to form a scatter graph.
    • Drawing a valid line of best fit that follows the general trend of the data with balanced points on either side.
    • Interpreting the type (positive/negative) and strength (strong/weak) of correlation shown by the scatter graph.
    • Identifying anomalies or outliers that do not conform to the pattern established by the line of best fit.

    Common mistakes and how to put them right

    • Forcing the line of best fit to pass through the origin (0,0) regardless of the data trend.

      Put it right: Draw the line through the centre of the data points, which may not necessarily intersect the origin.

    • Connecting the dots in a zig-zag pattern instead of drawing a single straight or smoothly curved line of best fit.

      Put it right: Draw one continuous line that represents the overall trend of the scatter plot.

    • Assuming that a strong correlation on a scatter graph proves causation between the two variables.

      Put it right: State that the graph shows a relationship or correlation, but acknowledge that other factors may cause the trend.

    Exam tips

    • When drawing a line of best fit, use a clear ruler so you can see the data points underneath and balance them evenly on both sides.
    • Always quote specific data coordinates from the scatter graph when describing the overall trend or identifying an anomaly.
    • If asked to estimate a value, draw lines from the given axis to your line of best fit, and then across to the other axis to read the result.

    Try the lesson

    The start of the Graphical skills: Scatter graphs, and the use of best fit line. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A student is investigating the relationship between Gross Domestic Product (GDP) per capita and life expectancy for twenty different countries. Why is a scatter graph the most appropriate graphical technique for this investigation?

    Listen

    Scatter graphs plot paired numerical data to investigate the correlation between two continuous variables, such as GDP per capita and life expectancy. Each point represents a single observation on the x and y axes. A line of best fit is drawn through the centre of the data cluster to visually represent the trend, ensuring a roughly equal number of points lie above and below the line. This line identifies whether the correlation is positive, negative, or non-existent, and indicates relationship strength based on how closely points cluster around it. The line of best fit is also used to estimate values within the data range (interpolation) and to spot anomalous results that deviate significantly from the general trend. A strong answer earns marks for these points. Plotting coordinates accurately on both the x and y axes to form a scatter graph. Drawing a valid line of best fit that follows the general trend of the data with balanced points on either side. Interpreting the type (positive/negative) and strength (strong/weak) of correlation shown by the scatter graph. Identifying anomalies or outliers that do not conform to the pattern established by the line of best fit. A common slip: Forcing the line of best fit to pass through the origin (0,0) regardless of the data trend. Instead, Draw the line through the centre of the data points, which may not necessarily intersect the origin. Exam tip: When drawing a line of best fit, use a clear ruler so you can see the data points underneath and balance them evenly on both sides.

    See it

    A top-down flowchart. It starts with a node labelled 'Paired continuous data', which leads to 'Plot points on x and y axes', then to 'Scatter graph'. From the scatter graph the flow goes to 'Draw line of best fit through centre of data cluster', then to 'Balanced points above and below line', then to 'Identify correlation: positive, negative or non-existent', and finally to 'Judge strength: strong or weak'. Two further branches come from the line of best fit node: one leads to 'Estimate values within data range (interpolation)' and the other to 'Spot anomalous results'.
    The sequence from plotting paired data on a scatter graph to drawing a line of best fit and using it to interpret correlation, estimate values and spot anomalies.

    Key words

    Say what each word means before you turn the card.

    Scatter graphs

    Try answering aloud or in your head before turning the card.

    Line of best fit

    Try answering aloud or in your head before turning the card.

    Correlation

    Try answering aloud or in your head before turning the card.

    Interpolation

    Try answering aloud or in your head before turning the card.

    See every definition
    Scatter graphs
    Graphs that plot paired numerical data to investigate the correlation between two continuous variables, with each point representing a single observation on the x and y axes.
    Line of best fit
    A line drawn through the centre of the data cluster to visually represent the trend, ensuring a roughly equal number of points lie above and below the line.
    Correlation
    Whether the relationship shown is positive, negative, or non-existent, with strength indicated by how closely points cluster around the line of best fit.
    Interpolation
    Using the line of best fit to estimate values within the data range.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. It starts with a node labelled 'Paired continuous data', which leads to 'Plot points on x and y axes', then to 'Scatter graph'. From the scatter graph the flow goes to 'Draw line of best fit through centre of data cluster', then to 'Balanced points above and below line', then to 'Identify correlation: positive, negative or non-existent', and finally to 'Judge strength: strong or weak'. Two further branches come from the line of best fit node: one leads to 'Estimate values within data range (interpolation)' and the other to 'Spot anomalous results'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Graphical skills: Scatter graphs, and the use of best fit line.

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge