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Worked Examples · Example 3

Q.Demand curve correctly explains the bivariate data where quantity demanded of a good has an inverse relationship with the price (keeping other factors constant like income), i.e. Price∝1Quantity Demanded\text{Price} \propto \dfrac{1}{\text{Quantity Demanded}}. Explain why this is bivariate data.

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The demand relation links exactly two variables — Price and Quantity Demanded — studied together, so it is bivariate data.

[!FORMULA] Bivariate data — data in which the values of exactly TWO variables are observed/recorded jointly on the same unit, usually written as ordered pairs (x,y)(x, y). Here, Price∝1Quantity Demanded\text{Price} \propto \dfrac{1}{\text{Quantity Demanded}}, i.e. P=kQdP = \dfrac{k}{Q_d} for some constant k>0k>0.

  1. Identify the variables involved: Price (PP) of the good, and Quantity Demanded (QdQ_d) of the good.
  2. Check how they are recorded: for the demand curve, every observation is a PAIR — a given price together with the corresponding quantity demanded at that price, i.e. (Qd,P)(Q_d, P). …

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