📊 Statistics District · Scatter graphs
Use plotted paired data to interpret scatter graphs with careful statistical language. In this lesson, focus on straight-line graphs connect coordinates, rates and equations.
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Level 1 · Apprentice0 / 100 XP
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Use plotted paired data to interpret scatter graphs with careful statistical language. In this lesson, focus on straight-line graphs connect coordinates, rates and equations.
Straight-line graphs connect coordinates, rates and equations. Gradient measures vertical change per horizontal step; the y-intercept records the value when x is zero. For scatter graphs, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Scatter graphs: Straight-line graphs connect coordinates, rates and equations. Substitute one plotted coordinate into the equation or count a second rise-and-run triangle. Keep the scatter graphs representation visible until the final line.
Plot draggable points on a coordinate plane, draw the line and compare its rise, run and axis crossing. Use the model to explain one change you notice while working on scatter graphs.
Substitute one plotted coordinate into the equation or count a second rise-and-run triangle. Write that check beside the final scatter graphs answer.
Given information: Scatter graphs — A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Method choice: Substitute the x-coordinate into the equation. Compare the calculated y-value with the point's y-coordinate. Calculation or reasoning: The points rise from left to right: as study time increases, test score tends to increase. This overall upward trend is positive correlation. Final answer: positive correlation. Check: Compare the calculated y-value with the point's y-coordinate.
Visual / interactive
Plot draggable points on a coordinate plane, draw the line and compare its rise, run and axis crossing. Use the model to explain one change you notice while working on scatter graphs.
Worked examples
Understand the idea with small numbers, one representation and one clear step.
Use the standard Year 8 method with mixed examples and normal wording.
Handle multi-step or less familiar questions and explain choices.
Solve a worded question, show reasoning, check accuracy and write a final sentence.
Given information: Scatter graphs — A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Final answer: positive correlation. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: Scatter graphs — The points for temperature and coat sales cluster closely around a downward-sloping line. Describe the relationship fully. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: The points fall from left to right and stay close to a line, so the graph shows strong negative correlation. Final answer: strong negative correlation. Check: substitute or compare with the original information to confirm the result fits the question.
Check: Check the scatter graphs result against the original information.
Given information: Scatter graphs — Most plotted points are near (2, 5), (3, 7), (4, 9), (5, 11), but one point is (9, 2). Which coordinate is the outlier? Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: (9, 2) is far away from the overall upward pattern, so it is the outlier. Final answer: (9, 2). Check: substitute or compare with the original information to confirm the result fits the question.
Try explaining why each step works before checking the answer.
Given information: Scatter graphs — A line of best fit is modelled by y = 4x + 6. Estimate y when x = 4. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: Substitute x = 4: y = 4 × 4 + 6 = 22. Final answer: 22. Check: substitute or compare with the original information to confirm the result fits the question.
Substitute one plotted coordinate into the equation or count a second rise-and-run triangle. Write that check beside the final scatter graphs answer.
Create a scatter graphs problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
Practice · always open
Choose a difficulty, answer questions, ask for hints, see the method, retry, or generate a similar question. XP rewards accurate work and improved scores.
Year 8 practice studio
Foundation, secure, challenge and exam-style questions are available immediately with instant feedback.
Answer the questions, then check your score.
Games · always open
Use plot patrol controls to solve three checked scatter graphs rounds. Solve at least two of three marked rounds and use feedback to correct any error.
Press Start Game to enter a topic-specific maths arena.
Boss challenge
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Timed mixed-difficulty battle. Practice first if you want, or jump in and learn from feedback.
Study cards and flashcards · always open
Scatter graphs: Straight-line graphs connect coordinates, rates and equations. Substitute one plotted coordinate into the equation or count a second rise-and-run triangle. Keep the scatter graphs representation visible until the final line.
Tap to mark reviewedcoordinate · gradient · y-intercept · axis · linear relationship · scatter · graphs
Tap to mark reviewedLabel and read both axes. Plot or identify ordered pairs as x first, then y. Use rise divided by run for gradient or read the y-axis crossing for intercept. Check the relationship with a second point or a table value. Record the check explicitly for scatter graphs.
Tap to mark reviewedGiven information: Scatter graphs — A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Method choice: Substitute the x-coordinate into the equation. Compare the calculated y-value with the point's y-coordinate. Calculation or reasoning: The points rise from left to right: as study time increases, test score tends to increase. This overall upward trend is positive correlation. Final answer: positive correlation. Check: Compare the calculated y-value with the point's y-coordinate.
Tap to mark reviewedGiven information: Scatter graphs — A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Final answer: positive correlation. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Scatter graphs — The points for temperature and coat sales cluster closely around a downward-sloping line. Describe the relationship fully. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: The points fall from left to right and stay close to a line, so the graph shows strong negative correlation. Final answer: strong negative correlation. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Scatter graphs — Most plotted points are near (2, 5), (3, 7), (4, 9), (5, 11), but one point is (9, 2). Which coordinate is the outlier? Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: (9, 2) is far away from the overall upward pattern, so it is the outlier. Final answer: (9, 2). Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Scatter graphs — A line of best fit is modelled by y = 4x + 6. Estimate y when x = 4. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: Substitute x = 4: y = 4 × 4 + 6 = 22. Final answer: 22. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedReading coordinates in the wrong order. This is a key trap when answering scatter graphs questions.
Tap to mark reviewedFor scatter graphs, show the key representation before the final calculation. Use this final check: Substitute one plotted coordinate into the equation or count a second rise-and-run triangle.
Tap to mark reviewedTravel graphs, Fixed fees and rates
Tap to mark reviewedI can explain scatter graphs, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedI’m Stuck
Use this whenever a question feels confusing. Nothing here is locked.
Scatter graphs: Straight-line graphs connect coordinates, rates and equations. Substitute one plotted coordinate into the equation or count a second rise-and-run triangle. Keep the scatter graphs representation visible until the final line.
Think of scatter graphs as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Start by naming the given information and the exact result required for scatter graphs.
Label and read both axes.
Given information: Scatter graphs — A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Method choice: use the scatter graphs method and show each step with the stated values. Calculation or reasoning: A scatter graph for study time and test score has points that rise from left to right. Identify the correlation. Final answer: positive correlation. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Label and read both axes. → Plot or identify ordered pairs as x first, then y. → Use rise divided by run for gradient or read the y-axis crossing for intercept. → Check the relationship with a second point or a table value. Record the check explicitly for scatter graphs.
Reading coordinates in the wrong order. This is a key trap when answering scatter graphs questions.
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