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Linear Correlation

Exploring and analysing the existence of a linear relationship between two numerical variables from a graphic perspective (dispersion diagram) and an analytical perspective (with the Pearson linear correlation coefficient).
Investigating the existence of a relationship between pairs of numerical variables in real everyday contexts associated with different areas of knowledge.
Researching statistics on Birth and Fertility in Navarre.

Recipients: 4th ESO. 1st Bachillerato.


2 class sessions (50-55 minutes per session). Exploration and analysis phase.

  • Activities 1 and 2 (1.5 sessions). 
  • Activity 3 (0.5 sessions).

 Note: if the template is built with the students, add one more session.

2 class sessions (50-55 minutes per session). Research phase.

  • Activity 4 (1 session). Only hand out a couple of studies per pair of students. Select context based on the academic pathway.
  • Activity 5 (1 session).


  • Analysis and interpretation of the type and degree of linear correlation between pairs of numerical variables.
  • Finding and obtaining information associated with a real statistical operation from daily life.

Didactic content:

  • Dispersion graph. Point cloud.
  • Covariance. Pearson linear correlation coefficient.
  • Study of the relation between pairs of numerical variables.
  • Importance of viewing data.

Key skills (Spanish Law LOMLOE):

  • Skills in science, technology, engineering, and maths (STEM).
  • Digital skills. (DS).
  • Personal, social, and learning-to-learn skill. (PSLTLS).

Methodology: Individual work. Working in pairs. Analysis activity.

Resources needed: Chromebooks. Projector or interactive monitor. GeoGebra Applet. Google spreadsheet. 

Relationship with other subjects: IT. Social Sciences. Health Science. Science, Technology, and Engineering.