NECO 2005 Economics · Question 45

In the equation Q = a - bp + e; Q and P are .... Variables respectively.

Options

  1. A.constant and dependent
  2. B.dependent and independent
  3. C.error term and independent
  4. D.independent and constant
  5. E.independent and dependent

Answer: B. dependent and independent

Explanation written with AI and checked against the answer key

Analyze the question: The equation Q = a − bP + e is a demand function (a simple regression-type equation). We need to say what kind of variable Q and P are, in that order.

Concept:

  • Dependent variable: the variable whose value is determined by others (it appears alone on the left side).
  • Independent variable: the variable that influences the dependent variable (it appears on the right side).
  • Constants/parameters: a and b are fixed values (a is the intercept, b the slope).
  • e: the error (disturbance) term.

Solution:

  1. Q (quantity demanded) is on the left-hand side. Its value depends on the price, so Q is the dependent variable.
  2. P (price) is on the right-hand side and determines Q, so P is the independent variable.
  3. a and b are constants (parameters), and e is the error term. These are not what the question asks about.

So, in the order "Q and P respectively": dependent and independent.

Checking the options:

  • A: Q is not a constant, so this is wrong.
  • B: dependent and independent, which is correct.
  • C: Q is not the error term, so this is wrong.
  • D: Q is not independent and P is not a constant, so this is wrong.
  • E: this is the reverse order, so it is wrong.

**Answer: B.

Tip: Look at which side of the equals sign the variable is on. The variable on the left, "Q = ...", is the one being explained (dependent). The variables on the right that explain it are independent. Also, watch the word "respectively", because it fixes the order of your answer.

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