Question # 1

The straight line is fitted to a time series when the movements in the time series are

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linear

quadratic

cubic

constant

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

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Intercept

Slope

Variable

Trend

The sum of deviations=Σ(y-ŷ) =

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0

1

10

-1

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

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

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Σy <Σŷ

Σŷ = 0

Σy =Σŷ

none of these

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

The least squares estimates are unbiased estimates of the

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statistic

time series

parameters

variance

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

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X - intercept

Slope

Y- intercept

None of them

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

The basic components of a time series are:

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2

3

4

5

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

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speed

value

direction

none of these

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

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Nine years

Four Years

Three years

One year

For a least squares linear trend Y = a + bX

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ΣY = ΣY

ΣY = 0

ΣY > ΣY

None of them

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

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All the Y-values are positive

All the Y-values lie on the line

All the Y-values lie above the line

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

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

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Statistics Ics Part 2 Chapter 7 Online Test MCQs With Answers

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