Statistics and regression — Topic Review | Year 12

QUICK RECAP

Connect the ideas

Keep numerical pairs together and inspect a scatter plot before fitting.

Describe direction, form and strength; distinguish prediction from causation.

Interpret r² on the scale actually fitted.

Fit the response on the intended predictor and interpret coefficients with units.

Calculate residuals as observed minus predicted and look for systematic patterns.

Investigate unusual observations transparently.

Exponential models represent constant proportional change; log fits require positive responses.

Classify interpolation/extrapolation and check contextual limits.

For normal models, distinguish variance and SD, tails and inverse-percentile areas.

Complete each paper and show your working.

Statistics and regression — Practice test 1
10 questions · 55 marks · 70 minutes · Technology-assisted
Read paired data, fit and assess a line, then use normal probabilities and cutoffs.
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Statistics and regression — Practice test 2
10 questions · 53 marks · 70 minutes · Technology-assisted
Analyse a service-data study, compare fits and explain predictions and uncertainty.
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Statistics and regression — Practice test 3
10 questions · 51 marks · 70 minutes · Technology-assisted
Choose and assess exponential models alongside linear summaries and normal calculations.
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Statistics and regression — Practice test 4
10 questions · 49 marks · 70 minutes · Technology-assisted
Critique claims, compare models and investigate how units and observations affect a fit.
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Statistics and regression — Practice test 5
10 questions · 54 marks · 70 minutes · Technology-assisted
Combine full regression analysis, defensible reporting and normal-model decisions.
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Statistics and regression — Applications test
10 questions · 58 marks · 75 minutes · Technology-assisted
Evaluate competing interpretations and models using supplied evidence and transparent calculations.
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