A time-series which has no significant upward or downward trend is referred to as:[Fill in the blank]

Question

BlackTom AI · Accepted Answer

The question asks: A time-series which has no significant upward or downward trend is referred to as: [Fill in the blank]

Option a: static. While 'static' might imply no movement, time-series analysis uses 'stationary' to describe a series whose statistical properties do not change over time, not simply 'static'. This makes 'static' an imprecise choice in this context.

Option b: stationary. This is the standard term in time-series analysis for a series that does not exhibit a trend (neither upward nor downward) and whose properties like mean and variance are constant over time. The absence of a trend aligns with the definition of stationarity.

Option c: non-moving. This is a colloquial phrasing and not a formal term in time-series methodology. It lacks the precise statistical meaning that 'stationary' conveys, so it is not the correct technical label.

Option d: non-stationary. By definition, a non-stationary series shows changing statistical properties or a trend. Since the prompt specifies there is no significant upward or downward trend, this option contradicts the given description.

In sum, the concept described matches the technical definition of a stationary time-series, where the lack of trends corresponds to stationarity rather than the other descriptors listed. The terms 'static' and 'non-moving' do not capture the formal statistical notion, 'non-stationary' contradicts the absence of a trend, and 'stationary' precisely conveys the intended idea within time-series analysis.

A time-series which has no significant upward or downward trend is referred to as:[Fill in the blank]

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