Question # 1

The trend values in freehand curve method are obtained by:

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Equation of straight line

Second degree parabola

Signal

Graph

For a least squares linear trend=ŷ = a + bx, b is the

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variable

intercept

trend

slope

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 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

For a least squares line trend Y = a + bx, the b is the:

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Intercept

Slope

Variable

Trend

In a straight line equation Y = a + bX; a is the:

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X - intercept

Slope

Y- intercept

None of them

The rise and fall of a time series periods longer than one- year is called.

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Secular trend

Seasonal variation

Cyclical variation

Irregular variation

The equation of the quadratic (parabolic) trend is

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ŷ=a+bx

ŷ=a+by

ŷ=a+bΣx+cΣx²

ŷ=a+bx+cx²

For a least squares linear trend Y = a + bX

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ΣY = ΣY

ΣY = 0

ΣY > ΣY

None of them

The least squares estimates are unbiased estimates of the

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statistic

time series

parameters

variance

In moving average method, we cannot find the trend values of some:

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Middle periods

End periods

Starting periods

Between extreme periods

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 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 elimination or addition of a few more time periods may change its

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speed

value

direction

none of these

ŷ=a+bx, this line will be called least squares line if it makes=Σ(y-a-bx)2

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maximum

constant

minimum

variable

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

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Noise

Signal

Additive model

Multiplicative model

The graph of a time series is called

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histogram

polygon

straight line

historigram

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ICS Part 2 Statistics Chapter 16 Online Test MCQs With Answers

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