For the given 5 values, 15, 18, 21, 27,39; the three year moving averages are:

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 $(t_1, y_2),(t_2, y_2),(t_3, y_3),......,(t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t) = 0$.

Choose the correct answer from the options given below:

Irregular trends in a time series are caused by

(A) Epidemics

(B) Strikes

(C) Festival season

(D) Floods

Choose the correct answer from the options given below:

For a certain data $(x_i, y_i)$, $i = 1,2,...,7$: $\sum_{i=1}^{7} y_i = 246$ and $\sum_{i=1}^{7} u_iy_i = 29$, $\sum_{i=1}^{7} u_i^2 = 28$ where $u_i = x_i - 2004$, then straight line trend by the method of least square is :

For the given five values, 3.6, 4.3, 4.3, 3.4, 4.4, the three years moving averages are:

The rise in prices before festivals is an example of

For the given five values $16, 25, 19, 34, 46$, the three years moving averages are