Which one of the following is the correct estimation model based on software…

2025

Which one of the following is the correct estimation model based on software equation?

  1. A.

    E=[LOC×B0.222/P]2×(1/t4)

  2. B.

    E=[LOC×B0.333/P]3×(1/t4)

  3. C.

    E=[LOC×B0.444/P]4×(1/t3)

  4. D.

    E=[LOC×B0.111/P]6×(1/t3)

Attempted by 44 students.

Show answer & explanation

Correct answer: B

Correct estimation model: E = [ (LOC × B^(0.333)) / P ]^3 × (1 / t^4)

Why this is correct:

  • The exponent 0.333 on B equals 1/3; raising the bracket to the 3rd power restores full influence of B when the bracket is expanded ( (B^(1/3))^3 = B ).

  • Time appears as 1/t^4, indicating effort scales inversely with the fourth power of schedule length in this model; the combination of bracket and time exponents gives the standard scaling relationships used in the software equation.

  • Other answer choices use different numeric exponents (for B, the bracket power, or the time exponent) and therefore do not match the established form of the equation.

Quick check: writing the bracket as [ (LOC × B^(1/3)) / P ] and then cubing it yields the intended scaling; this confirms the choice above is the correct representation.

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