A time series is a set of data recorded ________.

(a)

Periodically

(b)

Weekly

(c)

successive points of time

(d)

all the above

The value of ‘b’ in the trend line y = a + bx is ________.

(a)

Always positive

(b)

Always negative

(c)

Either positive or negative

(d)

Zero

The component of a time series attached to long term variation is trended as ________.

(a)

Cyclic variation

(b)

Secular variations

(c)

Irregular variation

(d)

Seasonal variations

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to: ________.

(a)

110

(b)

108

(c)

100

(d)

109

Which of the following Index number satisfy the time reversal test?

(a)

Laspeyre’s Index number

(b)

Paasche’s Index number

(c)

Fisher Index number

(d)

All of them

Explain cyclic variations.

Discuss about irregular variation

Define seasonal index.

Fit a trend line by the method of semi-averages for the given data.

Year	1990	1991	1992	1993	1994	1995	1996	1997
Sales	15	11	20	10	15	25	35	30

Given below are the data relating to the production of sugarcane in a district.
Fit a straight line trend by the method of least squares and tabulate the trend values.

Year	2000	2001	2002	2003	2004	2005	2006
Prod.of Sugarcane	40	45	46	42	47	50	46

Calculate the seasonal index for the quarterly production of a product using the method of simple averages.

Year	I Quarter	II Quarter	III Quarter	IV Quarter
2005	255	351	425	400
2006	269	310	396	410
2007	291	332	358	395
2008	198	289	310	357
2009	200	290	331	359
2010	250	300	350	400

Construct the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Comment on the result.

Commodities	Base Year		Current Year
	Price	Quantity	Price	Quantity
Rice	15	5	16	8
Wheat	10	6	18	9
Rent	8	7	15	8
Fuel	9	5	12	6
Transport	11	4	11	7
Miscellaneous	16	6	15	10

Calculate Fisher’s price index number and show that it satisfies both Time Reversal Test and Factor Reversal Test for data given below.

Commodities	Base Year		Current Year
	Price	Quantity	Price	Quantity
Rice	10	5	11	6
Wheat	12	6	13	4
Rent	14	8	15	7
Fuel	16	9	17	8
Transport	18	7	19	5
Miscellaneous	20	4	21	3