For the values 22, 25, 28, 31, 40, 43, the three yearly moving averages are

Based on the data available for the production ($y_i$ in thousand tons) of a cloth factory for 7 years ($x_i$) using the method of least squares, the straight line trend is given by $y - a + bx$ with $\sum y_i = 608, \sum x_i = 0, \sum x_iy_i = 116, \sum x_i^2 = 28$. Then, the increase in production per year is:

In a time series, the variations which occur due to general tendency of the data to increase or decrease over a long term are known as:

The pattern of data in the time series is influenced by a large variety of factors. Which of the following are not the components of the time series?

A. Regional component

B. Irregular component

C. Cyclone component

D. Seasonal component

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

The break-even point is the level of production where

If $(t_1, y_1), (t_2, y_2), (t_3, y_3), ..., (t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t)$, the sum of the deviations of y from their corresponding trend value is equal to: