YEAR 12 · STATISTICS AND REGRESSION

Topic review.

Connect the key ideas, then choose a practice paper.

01 / 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.

02 / PRACTICE TESTS

Choose a paper and show your working.

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

SACE Board of South Australia

Stage 2 General Mathematics: statistical models. Original lessons and assessment practice; not an official SACE assessment.