If three year moving averages for five data items given by 16, 18, 20, 10, 21 are $x$, $y$ and $z$ respectively, then:

The rise in prices before Diwali is an example of

Time series helps to

(A) derive conclusions after arranging the time series in a systematic manner.

(B) predict the future behavior of a variable.

(C) study the past behavior of data.

(D) plan future operations.

Choose the correct answer from the options given below:

For the given 5 values 24, 18, 33, 42, 24; the 3-year moving averages are:

For the given five values 15,24,18,33,42, the three years moving averages are

Consider the following data of expenses (in lakhs) of an organization year wise

Then expected expenses trends for the year 2006 using method of least square is:

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: