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CUET · MATHS · PYQ PAPER 2025

Year (t)2010201120122013201420152016
Sales (in Rs. crores) (y)68911131720
In reference to the above data, which of the following statements are correct?
(where \(x=t-2013\) )
(A) If the equation of the straight line trend is \(y=12+2.29 x\), then the trend value for the year 2017 is 21.16.
(B) If the equation of the straight line trend is \(y=12+2.29 x\), then the trend value for the year 2013 is 11.
(C) If the equation of the straight line trend is \(y=12+2.29 x\), then the trend value for the year 2015 is 17.
(D) If \(\left(t_1, y_1\right),\left(t_2, y_2\right), \ldots,\left(t_n, y_n\right)\) denote the time series and \(y_t\) are the trend values of \(y\), then \(\sum\left(y-y_t\right)=0\).
Choose the correct answer from the options given below :

  1. A (A), (B) and (D) only
  2. B (A) and (D) only
  3. C (A), (B) and (C) only
  4. D (B), (C) and (D) only
Verified Solution

Answer & Solution

Correct Answer

(B) (A) and (D) only

Step-by-step Solution

Detailed explanation

For (A): \(x = 2017 - 2013 = 4\) \(y = 12 + 2.29(4) = 12 + 9.16 = 21.16\) Statement (A) is correct. For (B): \(x = 2013 - 2013 = 0\) \(y = 12 + 2.29(0) = 12\) Statement (B) is incorrect. For (C): \(x = 2015 - 2013 = 2\) \(y = 12 + 2.29(2) = 12 + 4.58 = 16.58\) Statement (C) is…