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Seasonality is a time series component which:
A
Reflects variability due to natural disasters
B
Reflects variability during a single year
C
Reflects a regular, multi-year pattern of being below or above the trend line
D
Reflects gradual variability over a full season, usually taken to be 5 years long
Explanation:
Seasonality in time series analysis refers to regular, predictable patterns that repeat at fixed intervals within a single year. The correct definition is that seasonality reflects variability during a single year, not multi-year patterns.
Let's analyze each option:
A. Reflects variability due to natural disasters - ❌ Incorrect. This describes irregular or random events, not seasonal patterns.
B. Reflects variability during a single year - ✅ Correct. Seasonality captures patterns that repeat annually (e.g., higher retail sales in December, tourism peaks in summer).
C. Reflects a regular, multi-year pattern of being below or above the trend line - ❌ Incorrect. This describes cyclical patterns (business cycles) that occur over multiple years, not seasonal patterns.
D. Reflects gradual variability over a full season, usually taken to be 5 years long - ❌ Incorrect. This is not a standard definition of seasonality; seasons typically refer to periods within a year.
Key Concepts:
The text incorrectly identifies option C as the answer. The correct answer should be B because seasonality specifically refers to patterns that repeat within a single year.