Making Predictions: Fluency & Practice

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focused on making predictions using the line of best fit, including procedural practice, reasoning, real-world contexts, and extension challenges.

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Making Predictions: Fluency & Practice

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Given the line of best fit y = 3x + 2, calculate the predicted y-value when x = 5.
[2 marks]
2.
Using the equation y = 2.5x - 1, predict the value of y when x = 8.
[2 marks]
3.
Plot the graph of y = -1.5x + 4 and identify the predicted y-value at x = 6.
[3 marks]
4.
Construct a line of best fit for the following data points: (1,2), (3,4), (5,6). Then predict y when x=7.
[4 marks]
5.
A scatter plot shows that as x increases, y tends to increase. The line of best fit is y = 0.8x + 1. What is the predicted y-value when x = 10?
[2 marks]
6.
Explain why using the line of best fit can sometimes lead to inaccurate predictions.
[3 marks]
7.
A data set has a strong positive correlation. The regression line is y = 4x - 3. Predict y when x = 12.
[2 marks]
8.
A student incorrectly uses the equation y = 2x + 5 to predict y-values for the data. Identify a possible mistake in their approach.
[3 marks]
9.
Given the data points (2,5), (4,9), (6,13), construct the line of best fit and predict y when x=8.
[4 marks]
10.
A real-world scenario: The number of hours studied (x) and exam score (y) have a linear relationship. The line of best fit is y = 5x + 50. How many points would a student need to study to score at least 80?
[2 marks]
11.
Challenge: The line of best fit is y = 2x + 3. The data has some variability. If x = 10, a predicted y-value is 23. What might be a reason for this prediction being inaccurate?
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet