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CUET · MATHS · PYQ PAPER 2025

Consider the following data
Year(X)20102011201220132014
Profit (Rs. in thousands) (y)1012141613
The equation of straight line trend by method of least square for the above data is given by

  1. A \(y = 2x - 26\)
  2. B \(y = 2x + 26\)
  3. C \(y = x - 1999\)
  4. D \(y = x - 13\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(y = x - 1999\)

Step-by-step Solution

Detailed explanation

\( \text{Let } u = X - 2012 \) \( \Sigma u = (-2) + (-1) + 0 + 1 + 2 = 0 \) \( \Sigma y = 10 + 12 + 14 + 16 + 13 = 65 \) \( \Sigma u^2 = (-2)^2 + (-1)^2 + 0^2 + 1^2 + 2^2 = 4 + 1 + 0 + 1 + 4 = 10 \)…
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