#Statistics #Year12 #Standard >[!info]- [Bivariate data analysis | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-standard-11-12-2024/content/n12-tba2/fadb5e412c) >- MST-12-S2-08 analyses bivariate datasets using statistical processes ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ----------------------------------------------------------------- | ----------------------------- | --------------------- | | [[Data Analysis B]] | - regression analysis | - *repeated content* | | [[Stage 6 Standard 2/Linear Relationships\|Linear Relationships]] | - equation of a straight line | - regression 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 - Calculate and interpret Pearson’s correlation coefficient ($r$) for a bivariate dataset using a scientific calculator to quantify the strength of a linear association between the two variables - 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