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______ components of time series is indicated by a smooth line - Mathematics and Statistics

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______ components of time series is indicated by a smooth line

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Trend

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Components of a Time Series
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Chapter 2.4: Time Series - Q.2

RELATED QUESTIONS

Use the method of least squares to fit a trend line to the data in Problem 1 above. Also, obtain the trend value for the year 1975.


The following table gives the production of steel (in millions of tonnes) for years 1976 to 1986.

Year 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986
Production 0 4 4 2 6 8 5 9 4 10 10

Fit a trend line to the above data by the graphical method.


Choose the correct alternative :

Which of the following can’t be a component of a time series?


Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?


Fill in the blank :

_______ component of time series is indicated by a smooth line.


_______ component of time series is indicated by periodic variation year after year.


_______ component of time series is indicated by a long wave spanning two or more years.


Fill in the blank :

_______ component of time series is indicated by up and down movements without any pattern.


State whether the following is True or False :

The secular trend component of time series represents irregular variations.


Cyclical variation can occur several times in a year.


Irregular variation is not a random component of time series.


 Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?


Choose the correct alternative:

The following trend line equation was developed for annual sales from 1984 to 1990 with 1984 as base or zero year.

Y = 500 + 60X (in 1000 ₹). The estimated sales for 1984 (in 1000 ₹) is


______ component of time series is indicated by periodic variation year after year.


State whether the following statement is True or False: 

Seasonal variation can be observed over several years


Cyclical variation can occur several times in a year.


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