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PREFINAL EXAM - MATH

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.
In semi averages method, if the number of values is odd then we drop:
a)
First value
b)
Last value
c)
Middle value
d)
Middle two values
2.
For even number of years when origin is in the center and the unit of X being half year, then X can be coded as:
a)
X = year – average of years
b)
X = (year – average year)/2
c)
X = (year – average of years)/0.5
d)
X = year – ½ average of years
3.
For even number of years when origin is in the center and the unit of X being one year, then X can be coded as:
a)
X = year – 0.5 average of years
b)
X = (year – average year)/2
c)
X = year – average of years
d)
X = average of years – year
4.
For odd number of year, formula to code the values of X by taking origin at center is:
a)
X = year – last year
b)
X = year – first year
c)
X = year – average of years
d)
X = year – ½ average of years
5.
The straight line is fitted to the time series when the movements in the time series are:
a)
Nonlinear
b)
Linear
c)
Irregular
d)
Upward
6.
When the production of thing is decreasing, this stage is called:
a)
Recession
b)
Recovery
c)
Prosperity
d)
Depression
7.
When the production of thing is increasing towards prosperity, this stage is called as:
a)
Recession
b)
Recovery
c)
Boom
d)
Depression
8.
When the production of a thing is minimum, this stage is called:
a)
Prosperity
b)
Recession
c)
Recovery
d)
Depression
9.
When the production of a thing is maximum, this stage is called:
a)
Boom
b)
Recession
c)
Recovery
d)
Depression
10.
A business cycle has:
a)
One stage
b)
Two stages
c)
Three stages
d)
Four stages
11.
A pattern that is repeated throughout a time series and has a recurrence period of at most one year is called:
a)
Cyclical variation
b)
Irregular variation
c)
Seasonal variation
d)
Long term variation
12.
The difference between the actual value of the time series and the forecasted value is called:
a)
Residual
b)
Sum of variation
c)
Sum of squares of residual
d)
All of the choices
13.
A time series has:
a)
Two components
b)
Three components
c)
Four components
d)
Five components
14.
The rise and fall of a time series over periods longer than one year is called:
a)
Secular trend
b)
Seasonal variation
c)
Cyclical variation
d)
Irregular variation
15.
Moving-averages:
a)
Give the trend in a straight line
b)
Measure the seasonal variations
c)
Smooth-out the time series
d)
None of the choices
16.
Depression in business is:
a)
Secular trend
b)
Cyclical
c)
Seasonal
d)
Irregular
17.
The best fitting trend is one which the sum of squares of residuals is:
a)
Negative
b)
Least
c)
Zero
d)
Maximum
18.
In moving average method, we cannot find the trend values of some:
a)
Middle periods
b)
End periods
c)
Starting periods
d)
Between extreme periods
19.
The general pattern of increase or decrease in economics or social phenomena is shown by:
a)
Seasonal trend
b)
Cyclical trend
c)
Secular trend
d)
Irregular trend
20.
Damages due to floods, droughts, strikes fires and political disturbances are:
a)
Trend
b)
Seasonal
c)
Cyclical
d)
Irregular
21.
Increased demand of admission in the subject of computer in Philippines is:
a)
Secular trend
b)
Cyclical trend
c)
Seasonal trend
d)
Irregular trend
22.
The fire in a factory is an example of:
a)
Secular trend
b)
Seasonal movements
c)
Cyclical variations
d)
Irregular variations
23.
A trend is the better fitted trend for which the sum of squares of residuals is:
a)
Maximum
b)
Minimum
c)
Positive
d)
Negative
24.
The most commonly used mathematical method for measuring the trend is:
a)
Moving average method
b)
Method of least squares
c)
Semi average method
d)
None of the choices
25.
Indicate which of the following an example of seasonal variations is:
a)
Death rate decreased due to advance in science
b)
The sale of air condition increases during summer
c)
Recovery in business
d)
Sudden causes by wars
26.
Moving average method is used for measurement of trend when:
a)
Trend is linear
b)
Trend is non linear
c)
Trend is curvilinear
d)
None of the choices
27.
In semi averages method, we decide the data into:
a)
Two parts
b)
Two equal parts
c)
Three parts
d)
Difficult to tell
28.
Value of b in the trend line Y = a + bX is:
a)
Always negative
b)
Always positive
c)
Always zero
d)
Both negative and positive
29.
In a straight line equation Y = a + bX; b is the:
a)
Y-intercept
b)
Slope
c)
X-intercept
d)
Trend
30.
In a straight line equation Y = a + bX; a is the:
a)
Y-intercept
b)
Slope
c)
X-intercept
d)
None of the choices
31.
The method of moving average is used to find the:
a)
Secular trend
b)
Seasonal variation
c)
Cyclical variation
d)
Irregular variation
32.
In time series seasonal variations can occur within a period of:
a)
Four years
b)
Three years
c)
One year
d)
Nine years
33.
The unsystematic sequence which follows irregular pattern of variations is called:
a)
Noise
b)
Signal
c)
Linear
d)
Non-linear
34.
The graph of time series is called:
a)
Histogram
b)
Straight line
c)
Historigram
d)
Ogive
35.
An orderly set of data arranged in accordance with their time of occurrence is called:
a)
Arithmetic series
b)
Harmonic series
c)
Geometric series
d)
Time series
36.

The method used to analyze the long-term trends in a time series is called:

a)

Method of least squares

b)

Exponential smoothing

c)

All of the choices

d)

Moving average method

37.

Which of the following is an example of cyclical variations?

a)

Economic recession and recovery phases

b)

Seasonal weather changes

c)

Random fluctuations in stock prices

d)

Annual sales increase during holidays

38.

In time series analysis, the component that represents the underlying trend is known as:

a)

Seasonal component

b)

Cyclical component

c)

Trend component

d)

Irregular component

39.

Which of the following methods is commonly used to smooth out short-term fluctuations in a time series?

a)

All of the choices

b)

Method of least squares

c)

Moving average method

d)

Exponential smoothing

40.

What type of variation is characterized by patterns that repeat over a specific period, such as quarterly sales?

a)

Secular trend

b)

Cyclical variation

c)

Seasonal variation

d)

Irregular variation

41.

In time series analysis, the component that captures random noise is referred to as:

a)

Irregular component

b)

Trend component

c)

Cyclical component

d)

Seasonal component

42.

The method used to smooth out fluctuations in a time series is known as:

a)

Moving average

b)

Exponential smoothing

c)

Weighted average

d)

All of the choices

43.

Which of the following is a characteristic of seasonal variations?

a)

None of the choices

b)

Occurs at irregular intervals

c)

Repeats at fixed intervals

d)

Lasts for several years

44.

In time series analysis, the component that reflects long-term movements is called:

a)

Cyclical component

b)

Seasonal component

c)

Trend component

d)

Irregular component

45.

In time series analysis, which component is typically associated with short-term fluctuations?

a)

Cyclical component

b)

Seasonal component

c)

Irregular component

d)

Trend component

46.

What is the primary purpose of using the method of least squares in time series analysis?

a)

To minimize the sum of squares of residuals

b)

To find seasonal variations

c)

To analyze irregular components

d)

To identify cyclical trends

47.

Which of the following best describes a secular trend in a time series?

a)

Short-term fluctuations

b)

Long-term movement

c)

Seasonal changes

d)

Cyclical patterns

48.

Which of the following methods is primarily used to analyze seasonal variations in a time series?

a)

All of the choices

b)

Seasonal decomposition

c)

Exponential smoothing

d)

Moving average

49.

In time series analysis, the component that reflects long-term movements is known as:

a)

Cyclical component

b)

Seasonal component

c)

Trend component

d)

Irregular component

50.

What is the main objective of using exponential smoothing in time series forecasting?

a)

To eliminate seasonal variations

b)

To provide a weighted average of past observations

c)

To calculate the moving average

d)

To identify cyclical trends

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