Making Predictions: Real-world Applications
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on making predictions using the line of best fit in real-world contexts. Students will interpret data, draw lines, and make forecasts based on statistical relationships.
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Making Predictions: Real-world Applications
Subject: MathematicsGrade: Year 9
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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 data points (2, 5), (4, 9), and (6, 13), calculate the approximate line of best fit and predict the value of y when x = 8.
[3 marks]2.
Plot the graph of y = 0.5x + 2. Using the graph, estimate the value of y when x = 10.
[2 marks]3.
A student records data on hours studied and exam scores. The line of best fit suggests that for every additional hour studied, the exam score increases by approximately 4 points. If a student studies 3 hours, estimate their exam score.
[2 marks]4.
In a study, the number of hours exercised per week is plotted against weight loss. The line of best fit predicts a weight loss of 5 kg for 4 hours of exercise per week. How much weight loss would be expected for 8 hours?
[2 marks]5.
A car’s speed (km/h) and fuel consumption (litres/100km) are related. The line of best fit indicates that at 60 km/h, fuel consumption is 8 litres per 100 km. Predict the fuel consumption at 100 km/h.
[2 marks]6.
The data for weekly sales (in units) and advertising expenditure (in dollars) shows a positive correlation. The line of best fit is y = 2x + 10. How many units are expected to be sold if advertising expenditure is $15?
[2 marks]7.
A graph shows the relationship between temperature and ice cream sales. The trend line predicts that at 30°C, sales are 150 cones. Using the line of best fit, estimate sales at 20°C.
[2 marks]8.
A researcher finds that the line of best fit for a data set is y = 3x - 4. If x = 7, what is the predicted value of y?
[2 marks]9.
A company tracks the number of new customers relative to marketing spend. The line of best fit suggests that for every $1000 spent, 50 new customers are gained. How many new customers would be expected if the marketing spend is $5000?
[2 marks]10.
Error Analysis: A student calculates a line of best fit and predicts y at x=10 as 25. However, their actual data suggests the correct y should be 30. What common mistake might the student have made?
[3 marks]11.
Challenge & Extension: Given data points (1, 2), (3, 6), (5, 10), construct the line of best fit and predict y when x=7.
[4 marks]12.
Mixed Review: A data set shows that y increases by 2 for every 1 unit increase in x. If y=4 when x=3, write the equation of the line of best fit and predict y when x=10.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet