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If $(t_1, y_1)$, $(t_2, y_2)$,......,$(t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variables $y$, then

For the given five values, 16,25,19,34,43, the three year moving averages are

Assuming the same rate of change continues for the following data:

The equation of the straight line trend using the least square method is:

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.

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Components of Time Series are

(A) Secular Trend Component

(B) Seasonal Component

(C) Moving Average Component

(D) Cyclical Component

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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:

The first m-year moving average of the data 10, 20, 30, 40, 50 is 30. The value of m is

Match List-I with List-II

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Calculate Three Yearly moving averages for the following data

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

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

A company is shut down due to unavailability of electricity due to non payment of electricity Bill because of some unavoidable circumstances. Under which component of time series does this situation fall?

Consider the following data:

A straight line trend by the method of least square is:

For the given values 8, 10, 12, 14, 16; the three-year moving averages are:

Increase in the number of patients in the hospitals due to heat stroke is:

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:

The rise in prices before Diwali is an example of

For the given values 27, 35, 42, 45, 51, 34, 43; the five yearly moving averages are:-

In the below mentioned demand supply curve , identify the equilibrium point

The five month moving averages for the following data

is:

Match List-I with List-II

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Consider the following data

Then for the above data the equation of straight line trend by method of least square is given by:

Match List-I with List-II

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Consider the following data

The equation of straight line trend by method of least square for the above data is given by

Match List-I with List-II

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

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:

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

The sale of ice creams is higher in summer than in winter is an example of

Consider the following data:

The equation of straight line trend by using least square method is $y = 138.86 + 7.64 (x - 2007)$, then the trend values for the year 2004 is