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Given T = Underlying trend, C = Cyclic variations within the trend, S = Seasonal variation within the trend and R = Residual, remaining or random variation, as per the time series analysis of sales forecasting, the demand will be a function of: 
  • a)
    T and C  
  • b)
    R and S  
  • c)
    T, C and S  
  • d)
    T, C, S and R 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given T = Underlying trend, C = Cyclic variations within the trend, S ...
Sale forecasting should not be influenced by the random variations in demand. 
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Given T = Underlying trend, C = Cyclic variations within the trend, S ...
The demand in sales forecasting can be influenced by various factors, including the underlying trend, cyclic variations, seasonal variations, and residual or random variations. In time series analysis, these factors are represented by the variables T, C, S, and R, respectively.

To understand why the correct answer is option 'C' (T, C, and S), let's break down the meaning of each factor:

1. Underlying trend (T):
- This represents the long-term movement or direction of the demand.
- It indicates the overall growth or decline in the demand over time.
- The underlying trend can be affected by factors such as economic conditions, population growth, technological advancements, etc.

2. Cyclic variations (C):
- These are fluctuations in the demand that occur in regular cycles or patterns.
- Cyclic variations can be influenced by factors such as business cycles, seasonal factors, or other repetitive events.
- These variations are usually longer than seasonal variations but shorter than the overall trend.

3. Seasonal variations (S):
- These are regular and predictable patterns in the demand that repeat within a year.
- Seasonal variations can be caused by factors such as weather conditions, holidays, festivals, or other seasonal factors.
- These variations occur within the trend and are usually shorter in duration.

4. Residual or random variations (R):
- These are unpredictable fluctuations or noise in the demand that cannot be explained by the underlying trend, cyclic variations, or seasonal patterns.
- Residual variations can be caused by random events, unexpected changes in consumer behavior, external shocks, etc.

Based on the above explanations, it is clear that the demand in sales forecasting is influenced by all three factors: underlying trend (T), cyclic variations (C), and seasonal variations (S). Therefore, the correct answer is option 'C' (T, C, and S). The residual or random variations (R) are not considered in this case as they are independent of the other factors and cannot be predicted or explained.
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Given T = Underlying trend, C = Cyclic variations within the trend, S = Seasonal variation within the trend and R = Residual, remaining or random variation, as per the time series analysis of sales forecasting, the demand will be a function of:a)T and C b)R and S c)T, C and S d)T, C, S and RCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Given T = Underlying trend, C = Cyclic variations within the trend, S = Seasonal variation within the trend and R = Residual, remaining or random variation, as per the time series analysis of sales forecasting, the demand will be a function of:a)T and C b)R and S c)T, C and S d)T, C, S and RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given T = Underlying trend, C = Cyclic variations within the trend, S = Seasonal variation within the trend and R = Residual, remaining or random variation, as per the time series analysis of sales forecasting, the demand will be a function of:a)T and C b)R and S c)T, C and S d)T, C, S and RCorrect answer is option 'C'. Can you explain this answer?.
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