Reach for the Star | GCSE Mathematics

L077: Scatter graphs and correlation

Objective

Describe correlation, use a line of best fit and recognise limits of prediction.

Calculator: Calculator allowed where labelled; non-calculator reasoning remains required.

Visual model for Scatter graphs and correlation
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for scatter graphs and correlation.

Core practice

A trend line predicts 45 at x=8 from data spanning x=2 to 10. Is this interpolation or extrapolation?

Reasoning

A scatter graph shows strong negative correlation between screen time and sleep. Can it prove screen time causes less sleep?

Exam-style

A graph is drawn for a real context. Interpret the gradient, intercept or area as appropriate. State units and justify your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L077: Scatter graphs and correlation

Objective: Describe correlation, use a line of best fit and recognise limits of prediction.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I read or constructed the graph accurately, used the scale and axes correctly and linked the relevant gradient, intercept, shape or trend to my conclusion.

Even Better If (EBI)

I will label units and scale clearly, show the calculation or graphical evidence I used and check that the interpretation fits the context.

Stretch and deep challenge

Stretch: A trend line predicts 45 at x=8 from data spanning x=2 to 10. Is this interpolation or extrapolation?

Deep challenge: A scatter graph shows strong negative correlation between screen time and sleep. Can it prove screen time causes less sleep?