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If (t_1, y_1), (t_2, y_2),......,(t_n, y_n) denote the time series and y_t are the trend values of the variables y, then

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

If (t1,y1)(t_1, y_1)(t1​,y1​), (t2,y2)(t_2, y_2)(t2​,y2​),......,(tn,yn)(t_n, y_n)(tn​,yn​) denote the time series and yty_tyt​ are the trend values of the variables yyy, then

Official previous-year question

Held on 3 Jun 2025 · Verified 13 Jul 2026.

Options

  1. A

    ∑i=1n(yi−yt)=0\sum_{i=1}^{n} (y_i - y_t) = 0i=1∑n​(yi​−yt​)=0

  2. B

    ∑i=1n(yi−yt)=1\sum_{i=1}^{n} (y_i - y_t) = 1i=1∑n​(yi​−yt​)=1

  3. C

    ∑i=1n(yi−yt)=∞\sum_{i=1}^{n} (y_i - y_t) = \inftyi=1∑n​(yi​−yt​)=∞

  4. D

    ∑i=1n(yi−yt)≠0\sum_{i=1}^{n} (y_i - y_t) \ne 0i=1∑n​(yi​−yt​)=0

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