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Linear Regression

Exploring and analysing the existence of a linear dependency between two numerical variables, from a graphic point of view (dispersion diagram) and an analytical point of view (adjusting the pertinent linear regression model, or regression line).
Investigating the existence of linear regression models between pairs of numerical variables in real everyday contexts associated with different areas of knowledge.
Researching statistics on Birth and Fertility in Navarre.

Recipients: 1st Bachillerato.


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

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

  • Activity 1 and 2 (2.5 sessions). 
  • Activity 3 (0.5 sessions).

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

  • Activity 4 (1 session).


  • Analysis of linear regression models between pairs of numerical variables.
  • Finding and obtaining information associated with a real statistical operation from daily life.

Didactic content:

  • History of linear regression models.
  • Dispersion graph. Point cloud. Trend line.
  • Covariance. Pearson linear correlation coefficient.
  • Regression line: intercept, slope, coefficient of determination. 
  • Analysis of residuals in linear regression. 
  • Study of linear regression models between pairs of numerical variables.
  • Obtaining forecasts or expected values. Reliability of forecast.

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. Google spreadsheet. GeoGebra Applet.

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