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| Year (t) | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |---|---|---|---|---|---|---|---| | Sales (in Rs. crores) (y) | 6 | 8 | 9 | 11 | 13 |…

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium
Year (t) 2010 2011 2012 2013 2014 2015 2016
Sales (in Rs. crores) (y) 6 8 9 11 13 17 20

In reference to the above data, which of the following statements are correct? (where x=t−2013x = t - 2013x=t−2013)

(A) If the equation of the straight line trend is y=12+2.29xy = 12 + 2.29 xy=12+2.29x, then the trend value for the year 2017 is 21.16.

(B) If the equation of the straight line trend is y=12+2.29xy = 12 + 2.29 xy=12+2.29x, then the trend value for the year 2013 is 11.

(C) If the equation of the straight line trend is y=12+2.29xy = 12 + 2.29 xy=12+2.29x, then the trend value for the year 2015 is 17.

(D) If (t1,y2),(t2,y2),(t3,y3),......,(tn,yn)(t_1, y_2),(t_2, y_2),(t_3, y_3),......,(t_n, y_n)(t1​,y2​),(t2​,y2​),(t3​,y3​),......,(tn​,yn​) denote the time series and yty_tyt​ are the trend values of the variable y, then ∑(y−yt)=0\displaystyle \sum(y - y_t) = 0∑(y−yt​)=0.

Choose the correct answer from the options given below:

Official previous-year question

Held on 15 May 2025 · Verified 13 Jul 2026.

Options

  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

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