Mastering Scatter Graphs & Correlation
Mathematics
GCSE Higher
4 questions
~8 mins
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About This Worksheet
A worksheet covering Scatter Graphs & Correlation for GCSE Higher students.
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Mastering Scatter Graphs & Correlation
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concepts of scatter graphs and correlation before attempting the questions.
1.
The correlation coefficient, denoted as r, measures the strength and direction of a linear relationship between two variables. What are the possible values of r?
[2 marks]2.
In a scatter graph, what does a perfect positive correlation look like?
[2 marks]3.
What is the main purpose of using a scatter graph in data analysis?
[2 marks]4.
Describe what a weak negative correlation looks like on a scatter plot.
[2 marks]B
Procedural Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the data points (2, 3), (4, 5), (6, 7), find the equation of the line of best fit assuming a linear relationship.
[4 marks]2.
Calculate the correlation coefficient r for the following data: (1, 2), (2, 3), (3, 4), (4, 5).
[4 marks]3.
On a scatter graph, points are tightly clustered along a line with a positive slope. What does this indicate about the correlation?
[2 marks]4.
Explain what an r value close to -1 indicates about the data points.
[2 marks]5.
A scatter plot shows no clear pattern with points randomly dispersed. What is the likely correlation coefficient?
[2 marks]C
Reasoning & Application
Use your understanding to interpret or analyze the data.
1.
A dataset has a correlation coefficient r = 0.85. Describe the strength and direction of the relationship.
[2 marks]2.
If the data points in a scatter plot form a perfect straight line with a positive slope, what is the value of r?
[2 marks]3.
A real-world scenario shows a strong correlation between hours studied and exam score. How might this influence teaching strategies?
[4 marks]4.
Interpret a scatter graph where data points show a moderate negative trend. What does this suggest about the variables?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet