AQA · Mathematics · 8300
GCSE Maths: Graphs: scatter graphs (line of best fit)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Graphs: scatter graphs (line of best fit) (Corbettmaths Video 167), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is a line of best fit on a scatter graph?
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A straight line drawn through the points on a scatter graph that best represents the overall trend or relationship between the variables.
What does positive correlation on a scatter graph indicate?
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As one variable increases, the other variable also increases. The points form an upward trend from left to right.
What does negative correlation on a scatter graph indicate?
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As one variable increases, the other variable decreases. The points form a downward trend from left to right.
What does no correlation on a scatter graph indicate?
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There is no clear relationship between the two variables. The points are scattered randomly with no discernible pattern.
How is a line of best fit used to make predictions from a scatter graph?
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By reading from a known value on one axis to the line of best fit, then across to the other axis to estimate the corresponding value.
Why might it be unreliable to use a line of best fit for extrapolation far beyond the data range?
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The relationship may not continue in the same pattern outside the observed data range, making predictions unreliable or inaccurate.
In the context of scatter graphs, what is interpolation?
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Using a line of best fit to estimate values within the range of the existing data points.
A scatter graph with positive correlation shows that generally, as one variable increases, the other variable ?.
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increases
What type of data is most appropriately displayed on a scatter graph?
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Two continuous numerical variables where you want to investigate whether there is a relationship or correlation between them.
Why might a scatter graph not be appropriate for comparing data from different populations?
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The relationship observed in one population may not apply to another population with different characteristics.
What is an outlier on a scatter graph?
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A data point that does not fit the general pattern or trend of the other points.
What should you label on a scatter graph when plotting data?
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Both axes with appropriate variable names and units.
In a scatter graph showing distance from city centre vs. monthly rent, what type of correlation would you typically expect?
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Negative correlation — as distance from the city centre increases, monthly rent typically decreases.
What is the difference between weak and strong correlation on a scatter graph?
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Strong correlation: points lie close to a line. Weak correlation: points are more scattered with a less clear pattern.
If exam scores in two subjects show positive correlation, what does that suggest?
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Students who score well in one subject tend to score well in the other subject.
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