Which of the following are correct? (A) Time series analysis does not help to understand the behavior of a variable in the past. (B) Time series predict the future behavior of variable. (C) Time series helps to plan future operations. (D) The main aim of the time series analysis is to derive conclusions after arranging the time series in a systematic manner. Choose the correct answer from the options given below:

For the given five values 18, 25, 20, 36, 49, the three years moving averages are

For the given 9 values, 4,5,5,6,7,8,9,8,10, the three years moving averages are

For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:

Data available for profit (₹ Thousands) of a company as

Based on the above data using least square method the trend value for the year '2007' is

If 18, Q, 19.2, T, 19.8 are the 5-year moving averages of the following series of observations:

16, P, 20, 18, R, 17, 19, S, 20, then

Match List-I with List-II

Choose the correct answer from the options given below:

The values of '$a$' and '$b$' if the equation of straight line trend by least square method is given by $y = a + bx$ such that $\sum x = 0$, $\sum y = 84$, $\sum xy = 108$, $\sum x^2 = 70$ for 6 observation at are: