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MathidiaMathematics Academy
Advanced mathematical modelling
Lesson 65 of 75
Review

Communicating models

Objective. Present evidence, sensitivity and limitations clearly.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Communicating models means presenting a mathematical model's evidence, sensitivity and limitations clearly to an audience that may not share the modeller's technical background. This involves showing not just a central prediction but also a confidence interval or sensitivity range, explaining which assumptions drive the result, and stating what the model cannot answer. For example, instead of reporting "demand will be 500 units", good communication reports "demand is estimated at 500 units, with a 90% interval of 420 to 580, assuming last year's seasonal pattern continues". This lets the audience judge how much weight to place on the prediction.

Worked example

When communicating models to a non-technical audience, which presentation best supports informed decision-making about a demand forecast?

Options
  • Stating only the single predicted value of 500 units
  • Reporting 500 units with a 90% interval of 420 to 580 and the key assumption behind it
  • Showing the full regression output and raw code
  • Rounding the forecast to the nearest hundred without explanation
  1. 1Consider what information helps an audience judge how much to trust a forecast.
  2. 2A single point value hides how uncertain the forecast actually is.
  3. 3Reporting the interval alongside the central estimate and its key assumption shows both the result and its reliability.
  4. 4Raw code or arbitrary rounding does not communicate the forecast's reliability clearly to a non-technical audience.

Answer: Reporting 500 units with a 90% interval of 420 to 580 and the key assumption behind it

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Common mistake. A common mistake is communicating only a single point prediction from a model without any sensitivity range or confidence interval, which hides how much the result depends on uncertain assumptions.

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