HSC · Mathematics Standard 1 · Statistics live from the app

Correlation and Causation

A strong r means two variables move together — it does NOT mean one causes the other. This is the trap the exam sets every year: coincidence, a common cause, or confounding can all fake a relationship. This is the real knowscape from knowhere, not a picture of one. Drag it. Watch what actually changes.

mathematics standard 1 · statistics · correlation and causationdrag it · it is yours
the one idea

why this one carries the topic.

A scatterplot shows you two things moving together, and correlation puts a number on how tightly. But together isn't because — the line you draw predicts, it doesn't explain. Every question here is really asking: how strong is the pattern, and how far can you trust it?

Correlation measures association strength but never proves one variable causes another—hidden variables or pure chance can create strong relationships without causation.

what examiners catch — Students wrongly conclude "smoking causes coffee drinking" from correlation data instead of identifying a confounding variable like age or stress that influences both.
what you leave with

four things, not forty.

what's underneath

nothing here is a standalone fact.

knowhere maps every concept to what it rests on and what rests on it — 1 underneath this one, 1 built on top. Each one says why, in a sentence, not as an arrow on a diagram.

this conceptcorrelation and causationCorrelation measures association strength but never proves one variable causes another—hidden variables or pure chance can create strong relationships without causation.
sits under itcorrelation and scatterplotsbecause the Foundation eye trains for the General judgment — the maths-family ladder, drawn
built on itleast squares regressionbecause you fit a line to a relationship you can first see — and doubt
the rest of statistics

4 more, same treatment.

Each one is its own knowscape in the app — built for how a particular student takes things in, not one explanation handed to everybody.

basic probability calculationslive →correlation and scatterplotsin the appcompound probability and tree diagramsin the appthe language of chancein the app
this is one of 865

they don't read it. they run it.

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knowherehsc mathematics standard 1correlation and causation