Further Mathematics Unit 3 AOS 1 - Data Analysis

This unit is composed of five different modules that can be completed individually (approximately 4 hours each). The modules include:

Further Mathematics Unit 3 AOS 1: 1.1 - Using your CAS

Students will learn and test their knowledge in using their CAS calculator for Data Analysis through the following: 

• Using the CAS Calculator to investigate one and two Variable Data 

• Using the CAS to investigate and model linear association 

• Regression line, residual plot from table & straight from CAS 

• Hints and tips when using your CAS 

Further Mathematics Unit 3 AOS 1: 1.2 - Data Distributions

Students will investigate data distributions, including:

• Types of Data

• Categorical and Numerical data

• Using distribution/s of categorical data

• 5 number Summary, Boxplot and Outliers

• Sample mean and standard deviation

• Normal Distribution and Standardised Values (z-scores)

• Population, sample and random numbers

Further Mathematics Unit 3 AOS 1: 1.3 - Two Variables

Students will be investigating associations between two variables, including:

• Two Variable Statistics

• Response and explanatory variables

• Describing associations between two categorical variables and numerical and categorical variables

• Scatterplots

• Pearson correlation coefficient

• Cause and effect

Further Mathematics Unit 3 AOS 1: 1.4 - Linear Associations

Students will be investigating and modelling linear associations, including:

• Linear Association, Least Square Regression and Predictions

• Coefficient of determination

• Residual analysis

• Data transformation and using this data to make predictions

Further Mathematics Unit 3 AOS 1: 1.5 - Time Series

Students will be investigating and modelling time series data, including:

• Features of time series plots

• Numerical and graphical smoothing

• Seasonal adjustment