Pearson Edexcel · A-Level · Mathematics

    Course version: 9MA0 · Version from Mar 2026

    Interpret scatter diagrams and regression lines for bivariate data,…

    Full specification wording

    Data presentation and interpretation: 2.2 Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams which include distinct sections of the population (calculations involving regression lines are excluded). Understand informal interpretation of correlation. Understand that correlation does not imply causation.

    Bivariate data pairs two variables for each individual.

    Checked against the Pearson Edexcel 9MA0 specification (opens in a new tab) on .

    • Point 2 of 4
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Bivariate data pairs two variables for each individual. A scatter diagram plots one variable against the other, and a regression line summarises a linear trend, allowing a prediction of one variable from the other within the observed range. Interpretation means describing direction, strength and form, and recognising distinct sections of the population, such as two clusters or a group of points that follow a different pattern; these may indicate subgroups that should be described separately rather than forced into one line. Correlation is an informal measure of how closely points follow a straight line, from strong positive through weak to strong negative. Crucially, correlation does not imply causation: a third variable or coincidence may explain the association, so causal claims need evidence beyond the scatter diagram.

    What earns the marks

    • Describes a scatter diagram in terms of direction, strength and form of association between the two variables.
    • Interprets a regression line as a model of a linear trend and uses it to predict one variable from the other within the data range.
    • Recognises distinct sections or clusters in a scatter diagram and describes each subgroup separately.
    • Explains informally what a correlation coefficient indicates about the closeness of points to a straight line.
    • States that correlation does not imply causation and suggests a possible confounding or alternative explanation.

    Common mistakes and how to put them right

    • Describing a correlation as proof that one variable causes the other.

      Put it right: Say the association may be explained by a third variable or by chance.

    • Ignoring separate clusters and fitting one description to all points.

      Put it right: Identify the distinct sections and describe each one.

    • Predicting far outside the range of the observed data.

      Put it right: Restrict predictions to values within the data range.

    Exam tips

    • Use the words positive, negative, strong, weak and linear when describing association, and quote the context of the variables.
    • When a diagram shows clusters, state how many sections you see and describe the trend within each.
    • For any causal-sounding question, add a sentence explaining why correlation alone cannot establish cause.

    Try the lesson

    The start of the Data presentation and interpretation: 2.2 Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams which include distinct sections of the population (calculations involving regression lines are excluded). Understand informal interpretation of correlation. Understand that correlation does not imply causation. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A scatter diagram shows points that lie close to a straight line sloping downwards from left to right. What type of correlation does this indicate?

    Listen

    Bivariate data pairs two variables for each individual. A scatter diagram plots one variable against the other, and a regression line summarises a linear trend, allowing a prediction of one variable from the other within the observed range. Interpretation means describing direction, strength and form, and recognising distinct sections of the population, such as two clusters or a group of points that follow a different pattern; these may indicate subgroups that should be described separately rather than forced into one line. Correlation is an informal measure of how closely points follow a straight line, from strong positive through weak to strong negative. Crucially, correlation does not imply causation: a third variable or coincidence may explain the association, so causal claims need evidence beyond the scatter diagram. A strong answer earns marks for these points. Describes a scatter diagram in terms of direction, strength and form of association between the two variables. Interprets a regression line as a model of a linear trend and uses it to predict one variable from the other within the data range. Recognises distinct sections or clusters in a scatter diagram and describes each subgroup separately. Explains informally what a correlation coefficient indicates about the closeness of points to a straight line. A common slip: Describing a correlation as proof that one variable causes the other. Instead, say the association may be explained by a third variable or by chance. Exam tip: Use the words positive, negative, strong, weak and linear when describing association, and quote the context of the variables.

    See it

    A top-down flowchart. The top node reads 'Scatter diagram of bivariate data'. Four branches lead from it. The first goes to 'Describe direction, strength and form'. The second goes to 'Distinct sections of the population', which leads down to 'Describe each subgroup separately'. The third goes to 'Regression line: linear trend', which leads down to 'Predict one variable from the other within the data range'. The fourth goes to 'Correlation: closeness of points to a straight line', which leads down to 'Correlation does not imply causation', which in turn leads down to 'Possible third variable or coincidence'.
    It shows how a scatter diagram is interpreted: describing association, recognising distinct sections, using a regression line to predict within the data range, and why correlation does not imply causation.

    Key words

    Say what each word means before you turn the card.

    Scatter diagrams

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

    Regression lines

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

    Distinct sections of the population

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

    Correlation

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

    See every definition
    Scatter diagrams
    Plots one variable against the other for paired bivariate data, and interpretation means describing direction, strength and form.
    Regression lines
    Summarises a linear trend, allowing a prediction of one variable from the other within the observed range.
    Distinct sections of the population
    Two clusters or a group of points that follow a different pattern, which may indicate subgroups that should be described separately rather than forced into one line.
    Correlation
    An informal measure of how closely points follow a straight line, from strong positive through weak to strong negative.

    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. The top node reads 'Scatter diagram of bivariate data'. Four branches lead from it. The first goes to 'Describe direction, strength and form'. The second goes to 'Distinct sections of the population', which leads down to 'Describe each subgroup separately'. The third goes to 'Regression line: linear trend', which leads down to 'Predict one variable from the other within the data range'. The fourth goes to 'Correlation: closeness of points to a straight line', which leads down to 'Correlation does not imply causation', which in turn leads down to 'Possible third variable or coincidence'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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