The behavior and pattern of the data in a time series is NOT based on which of the following component?

If $y = 70 + 0.964(x - 2014)$ be a straight line trend fitted by the method of the least squares to the above data, then the trend value for the year 2015 is:

When data of the variable is collected at distinct time intervals for a specified period of time, it is called

Which of the following statements are TRUE?

(A) The sales of woolen clothes, gold, silver etc. exhibit seasonal trends.

(B) The price of stocks in the share market repeats after a definite time interval.

(C) The rise and fall of the share market is an example of a cyclic trend.

(D) The rise in prices before festivals is an example of a irregular trend.

Choose the correct answer from the options given below:

Which of the following statements are correct?

A. If $x_1,x_2,x_3,\dots,x_n$ is the given annual time series, then 3-yearly moving averages are $\dfrac{x_1+x_2+x_3}{3},\dfrac{x_2+x_3+x_4}{3},\dots\dots$

B. In the method of the least squares, if $(t_1,y_1),(t_2,y_2),\dots(t_n,y_n)$ denote the time series and $y_t$ are trend values of $y$, then $\sum(y-y_t)=0$

C. In the method of the least squares, the sum of squares of the deviations of the values of $y$ from their corresponding trend values is least.

D. The rise in prices before Diwali is an example of a cyclical trend.

Choose the correct answer from the options given below:

For the five values 12, $a$, 17, 21, 22, the three years moving averages are 13, 16, 20. The value of $a$ is

Let $y_t=a+b(x_i-2021)$ be the straight line trend for the following data by least squares method:

the trend value for the year 2025 approximately is: