Formula of seasonal index and seasonal forecasting?
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ChatGPT
Jun 20, 2024
The formula for calculating a seasonal index is:
Seasonal Index = (Average of a particular season's data) / (Average of all data)
Seasonal forecasting involves using the seasonal index to adjust historical data and make predictions for future periods. The formula for seasonal forecasting is:
Seasonal Forecast = (Trend Forecast for the period) * (Seasonal Index for that period)
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Google Gemini AI
Jun 20, 2024
Seasonal Index
The seasonal index is a measure that quantifies the seasonal variation in a time series. It is calculated by dividing the average value of the time series for each season by the overall average for the entire series.
Formula for Seasonal Index:
``` Seasonal Index = (Average Value of Season) / (Overall Average) ```
Seasonal Forecasting
Seasonal forecasting involves making predictions about future values of a time series by considering its seasonal patterns.
Steps for Seasonal Forecasting:
1. Calculate the seasonal index: Divide the time series data into seasons (e.g., quarters, months) and calculate the average value for each season. 2. Adjust the data: Adjust the data by dividing each value by the corresponding seasonal index. This removes the seasonal variation from the series. 3. Forecast the adjusted data: Use an appropriate forecasting method (e.g., ARIMA, Holt-Winters) to forecast the adjusted data. 4. Adjust the forecast: Multiply the forecasted values by the corresponding seasonal index to account for seasonality.
Formula for Seasonal Forecasting:
``` Forecasted Value = Adjusted Forecast - Seasonal Index ```