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Year 12 · General Mathematics

Statistical models

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore statistical models for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Bivariate statistics

Statistical process, explanatory/response variables; Scatterplots; direction/form/strength of association; Pearson r and coefficient of determination; Outliers, causality and data validity; Linear regression, slope/intercept and residual plots; Exponential regression, interpolation/extrapolation and prediction reliability

Examples, answers and practice
02

The normal distribution

Mean/SD and bell-shaped symmetry; Emergence as sums of independent random contributions; 68:95:99.7 rule; Non-standard probabilities using technology; Inverse normal/quantiles and contextual predictions

Examples, answers and practice

Make, test and investigate.

Investigate paired data and residuals

Collect anonymous paired data, construct a scatterplot and regression model, inspect residuals and discuss predictions. Test a normal measurement-model assumption separately.

Guided activity · No grade