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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−2013x = t - 2013)

(A) If the equation of the straight line trend is y=12+2.29xy = 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+2.29xy = 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+2.29xy = 12 + 2.29 x, 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) denote the time series and yty_t are the trend values of the variable y, then ∑(y−yt)=0\sum(y - y_t) = 0.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

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