Making Predictions: Problem Solving & Reasoning
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on using the line of best fit to make predictions, designed for GCSE Foundation students. It covers procedural skills, problem solving, real-world contexts, and extension challenges.
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Making Predictions: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
The line of best fit is a straight line drawn through a scatter of data points that best represents the overall pattern. It can be used to predict values within the range of data, or in some cases, outside this range. The equation of the line, often written as y = mx + c, allows us to estimate unknown values based on the trend.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the data points: (1, 2), (2, 4), (3, 5), (4, 4), (5, 5). Draw the line of best fit and estimate the value of y when x = 6.
[3 marks]2.
Given the line of best fit y = 0.8x + 1.2, predict the value of y when x = 10.
[2 marks]3.
A scatter plot shows data with a positive trend. Which of the following best describes the purpose of the line of best fit?
A) To find the exact data points
B) To predict missing values
C) To illustrate data trend
D) To calculate averages
[1 mark]4.
The line of best fit for a data set is y = 2x + 3. What is the predicted value of y when x = 0?
[2 marks]5.
Explain why it might be unreliable to use the line of best fit to make predictions outside the range of the data.
[3 marks]6.
You have the data: (2, 3), (4, 7), (6, 11). Draw the line of best fit and use it to predict y when x = 8.
[4 marks]7.
A teacher plots students' hours studied (x) against their test scores (y). The line of best fit is y = 5x + 50. How many points would you expect a student who studied for 8 hours to score?
[2 marks]8.
Construct a scatter plot with the following data: (1, 1), (2, 2), (3, 4), (4, 3), (5, 5). Draw the line of best fit and interpret the trend.
[4 marks]9.
If the line of best fit is y = 1.5x - 2, what is the predicted y-value when x = -4? Is this prediction reliable? Why or why not?
[3 marks]10.
Identify and correct the mistake in the following statement: 'Using the line of best fit y = 3x + 2, the predicted y when x=10 is 32.'
[3 marks]11.
A data set shows a clear positive correlation. The line of best fit is y = 2x + 1. When x = 7, what is the predicted y-value? Justify your answer.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet