Question # 1

The additive model of the time series is:

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Y = T + S + C + I

TSCI

Y = a + bX

Y = a + bX + cX²

The sum of deviations=Σ(y-ŷ) =

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0

1

10

-1

Which one is a rough and crude method for measuring secular trend ?

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free hand curve method

semi average method

moving averages method

least square method

The graph of a time series is called

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histogram

polygon

straight line

historigram

The systematic components of time series which follow regular pattern of variations are called:

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Noise

Signal

Additive model

Multiplicative model

In time series seasonal variations can occur within a period of:

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Nine years

Four Years

Three years

One year

The multiplicative time series model is:

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Y = T + S + C + I

TSCI

Y = a + bX

Y = a + bX + cX²

The basic components of a time series are:

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2

3

4

5

For a least squares linear trend Y = a + bX

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ΣY = ΣY

ΣY = 0

ΣY > ΣY

None of them

The method of least square gives too much weight to extremely large deviations from the

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population

parameter

sample

trend

For a least squares linear trend ŷ = a + bx, the Σ(y-ŷ)² = 0 when

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all the y-values lie on the line

all the y-values are positive

all the y-+values lie above the line

none of these

The unsystematic sequence which follows irregular pattern of variations is called:

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Noise

Signal

Linear

Non-linear

Increase the number of patients in the hospital due to heel stock is:

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Seasonal trend

Secular trend

Cyclical movements

Irregular variation

For a least squares linear trend=ŷ= a + b x,

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Σy <Σŷ

Σŷ = 0

Σy =Σŷ

none of these

In the measurement of secular trend the moving averages:

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Give the trend in a straight line

Measure the seasonal variations

Smooth out a time series

None of these

The trend values in freehand curve method are obtained by:

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Equation of straight line

Second degree parabola

Signal

Graph

The secular trend is measured by the method of semi-averages when

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time series contains yearly values

trend is linear

time series contains odd number of values

none of these

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ICS Part 2 Statistics Chapter 16 Online Test MCQs With Answers

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