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CUET · MATHS · PYQ PAPER 2025

Assuming the same rate of change continues for the following data :
Year(X)20192020202120222023
Profit in Percentage (y)3840657269
The equation of the straight line trend using the least square method is :

  1. A \(y=9.4 x+18940.6\)
  2. B \(y=9.4 x-18940.6\)
  3. C \(y=9.4 x+56.8\)
  4. D \(y=9.4 x-56.8\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(y=9.4 x-56.8\)

Step-by-step Solution

Detailed explanation

\(n=5\) \(x = \text{Year} - 2019\) Data points for \((x, y)\) are: \((0, 38), (1, 40), (2, 65), (3, 72), (4, 69)\) \(\sum x = 0+1+2+3+4 = 10\) \(\sum y = 38+40+65+72+69 = 284\)…