Reach for the Star

Scatter graphs and correlation · Optional extension

L077 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

Interpolation, because 8 lies within the observed x-range.

Deep challenge

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

Reveal a worked check after attempting

No. Correlation alone cannot establish causation; confounding factors or reverse direction may exist.

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?