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CUET · MATHS · PYQ PAPER 2025

Consider the following data of expenses (in lakhs) of an organization year wise:
Year20012002200320042005
Expenses (Rs. lakh)160185220300510
Then expected expenses trend for the year 2006 using method of least squares is:

  1. A Rs. 419.5 lakh
  2. B Rs. 620.5 lakh
  3. C Rs. 319.5 lakh
  4. D Rs. 519.5 lakh
Verified Solution

Answer & Solution

Correct Answer

(D) Rs. 519.5 lakh

Step-by-step Solution

Detailed explanation

\( n = 5 \) \( t: -2, -1, 0, 1, 2 \) (for years 2001, 2002, 2003, 2004, 2005 respectively) \( y: 160, 185, 220, 300, 510 \) \( \sum t = -2 - 1 + 0 + 1 + 2 = 0 \) \( \sum y = 160 + 185 + 220 + 300 + 510 = 1375 \)…