大象传媒

Identifying relationships in data

It is important to be able to identify relationships in data. This allows trends to be recognised and may allow for predictions to be made. Relationships in data can be identified in several ways.

Scatter graphs

These graphs show the relationship between two sets of data, eg number of tourists and number of tourist facilities or weight and height.

A scatter graph showing a positive correlation has points close together, increasing along both axes.

A line of best fit helps to show correlations, or patterns within the data. The line of best fit runs through the middle of points on the graph, ideally with an equal number of points on either side of the line.

  • A strong correlation is when the points are very close to the line of best fit.
  • A weak correlation is when the points are far away from the line of best fit.
  • A is when an increase in one factor is mirrored by an increase in another (the line of best fit goes from the bottom left to the top right).
  • A is when an increase in one factor is mirrored by a decrease in another (the line of best fit goes from the top left to the bottom right).
A line of best fit is a line drawn through points in a way that goes through the majority of the points.

Interpolate trends

This is when a value is found within the data set, using the line of best fit. The value was not originally plotted, but can be read off the line of best fit.

Interpolation is drawing an imaginary line up to the line of best fit, then drawing another imaginary line along the other axis to find a value.

Extrapolate trends

This is when a value is found outside of the data set. Extrapolation may provide uncertain results as it is based on extending the line of best fit beyond a known set of data.

Extrapolation is extending the line of best fit beyond the observed data, and using that to find a value.