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Statistics · Scatter graphs & correlation

Chapter 1 · 3

The idea

Scatter graphs & correlation

Why one point on a scatter graph is one individual measured twice, how to describe correlation by type and strength in the words of the question, why a correlation never proves a cause, and how to place a line of best fit — through the bulk of the data, balanced either side, ignoring a genuine outlier.

A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.

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Statistics · Scatter graphs & correlation

Scatter graphs & correlation

Why one point on a scatter graph is one individual measured twice, how to describe correlation by type and strength in the words of the question, why a correlation never proves a cause, and how to place a line of best fit — through the bulk of the data, balanced either side, ignoring a genuine outlier.

Why it works

One individual, measured twice

Almost every graph you have met so far plots one quantity. A scatter graph plots two measurements of the same individual at once, and that is the whole idea. Take ten students and record two numbers for each of them: the hours they revised and the mark they scored. Student four revised for 44 hours and scored 5858, so student four is the single point (4, 58)(4,\ 58). Ten students, ten points, and nothing else on the graph.

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The rest of the explanation, plus 3 worked examples you step through move by move.

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