Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Standard 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 12 – Standard 2

Bivariate data analysis
Bivariate datasets
  • Distinguish between situations involving one variable data and bivariate data and explain when each is needed

  • Explain the difference between variables that show correlation and those that have a causal relationship

  • Identify the independent and dependent variables within a bivariate dataset where appropriate

  • Analyse relationships between independent and dependent variables that may be described as causal

Scatter plots and lines of best fit
  • Represent a bivariate dataset using a scatter plot

  • Create a line of best fit on a scatter plot for a bivariate dataset, by eye and with digital tools

  • Describe the form of a dataset as linear or non-linear based on the association between two variables

  • Describe the strength of a linear relationship between two variables as strong, moderate or weak, and its direction as positive or negative

  • Determine and interpret the intercept and gradient of the line of best fit from a given graph to form an equation of the line

  • Determine the equation of the least-squares regression line for a bivariate dataset using a scientific calculator

  • Use a spreadsheet to construct a scatter plot and the least-squares regression line for a bivariate dataset

  • Examine lines of best fit to make predictions and recognise limitations of interpolation and extrapolation for bivariate datasets within a variety of contexts

Related files