Interpreting Linear Model Parameters

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Slope interpretation
  • Linear models
  • Intercept interpretation

Consider a linear model \(y = mx + c\) that models monthly sales (in thousands of dollars) based on advertising expenditure (in hundred dollars). Explain the real-world meaning of the slope \(m\) and the y-intercept \(c\).

Hint Hint

Hint

Think about how monthly sales change with each hundred-dollar increase in advertising, and what sales are when advertising is zero.

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Complete Answer

The slope \(m\) represents the increase in monthly sales (in thousands of dollars) for every hundred-dollar increase in advertising expenditure. The y-intercept \(c\) represents the monthly sales (in thousands of dollars) when there is no advertising expenditure.

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