- Subject: Mathematics
- AS: AS90645
- Level: 3
- Credits: 3
Statistics and modelling 3.5 Select and analyse continuous bi-variate data
The level of achievement that you reach is decided by the questions that you answer correctly.
- You select and analyse continuous bi-variate data.
- You may collect the data or it may be provided. It should be data for which a linear model is appropriate. Where the data is provided it will involve more than one pair of variables from which you select a pair.
- The analysis will involve:
- developing a purpose statement from the data selected
- graphing data
- using regression to establish a linear relationship between a pair of variables
- describing the relationship between at least one pair of variables in context.
Achievement with Merit
- You need to reach Achievement.
- You carry out an in-depth analysis of bi-variate data.
- Your analysis will include some of the following:
- comparing the relationship between more than one pair of variables
- discussing the appropriateness of the model
- interpreting correlation coefficients, r, and coefficients of determination, R2, when appropriate
- making predictions from regression equations (interpolation and/or extrapolation)
- use of residuals
- discussing the difference between correlation and causality when appropriate.
Achievement with Excellence
- You need to reach Achievement with Merit.
- You report on the validity of the analysis.
- The report will include justified comments on some of the following:
- method(s) of analysis
- assumptions made
- improving regression models, for example discussing the effect of outliers, fitting piecewise or non-linear models
- alternative approaches
- data source or data collection method if you collect your own data
- potential sources of bias
- relevance and usefulness of evidence
- how widely the findings can be applied.