StatisticsDeep Dive

Drawing Lines of Best Fit

Part of Scatter GraphsGCSE Mathematics

This deep dive covers Drawing Lines of Best Fit within Scatter Graphs for GCSE Mathematics. Revise Scatter Graphs in Statistics for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 5 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 7

Practice

14 questions

Recall

20 flashcards

Drawing Lines of Best Fit

Method for Drawing the Line

  1. Plot all points accurately on the graph
  2. Ignore outliers when considering the trend
  3. Draw a straight line that best represents the trend
  4. Balance the line so roughly equal numbers of points are above and below
  5. Make the line long enough to be useful for predictions

Using Lines of Best Fit for Predictions

Interpolation

Predicting values within the range of your data.

Example: If the line shows that 5 hours study gives 75% score, this is interpolation.

Extrapolation

Predicting values outside the range of your data.

Example: Using the line to predict what score someone would get with 12 hours study (if your data only goes up to 10 hours).

Warning: Extrapolation is less reliable - relationships may change outside the measured range.

Keep building this topic

Read this section alongside the surrounding pages in Scatter Graphs. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Scatter Graphs

A scatter graph shows that as temperature increases, ice cream sales also increase. This is an example of:

  • A. Negative correlation
  • B. Positive correlation
  • C. No correlation
  • D. Causation
1 markfoundation

A scatter graph shows a strong positive correlation between the number of ice creams sold and the number of drowning incidents at a beach. A student says: 'Ice cream causes drowning.' Explain why this conclusion is incorrect.

2 marksstandard

Quick Recall Flashcards

What is correlation?
Correlation describes the relationship between two variables. It shows how one variable changes when the other variable changes, but doesn't necessarily mean one causes the other.
What is no correlation?
No correlation (or zero correlation) occurs when there's no clear relationship between the variables. Points on the scatter graph appear randomly scattered with no obvious pattern.

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