Answer the following fundamental questions for each time series (exercise 1-10):
i. What is measured? (definition of the time series)
ii. How is it measured? (measurement units)
iii. What is the periodicity? (frequency of the series)
iv. What are the dominant features of the time series? (trends, non-seasonal cycles, seasonal cycles)
a)
Note :
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Time series analysis
is a statistical technique that deals with time series data, or
trend analysis. Time series data means that data is in a series of
particular time periods or intervals. The data is considered in
three types:
Time series data:
A set of observations on the values that a variable takes at
different times.
Cross-sectional data:
Data of one or more variables, collected at the same point in
time.
Pooled data:
A combination of time series data and cross-sectional data.
b)
Measurement units are
Medical Household income
Saving rate
Case shiller home price index
Inflation rate
Mortgage rate
c)
Periodicity
A fundamental characteristic of time series data is how frequently
the observations are spaced in time. How often the observations of
a time series occur is called the sampling frequency or the
periodicity of the series.
For example, a time series with one observation each month has a monthly sampling frequency or monthly periodicity and so is called a monthly time series.
Figure E .1: Frequency/Periodicity is 3 years
Figure E. 2:Frequency/Periodicity is 2 years
Figure E.3 : Frequency is 1.6 years
Figure E.4 frequency is 2 years
Figure E,5 frequency is 1.6 years
Figure E 10: Frequency or periodicity is 6 month
d)
Dominant features of time series here are
Seasonal cycles
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