Question
In time series forecasting, what is the primary role of
the ARIMA model ?Solution
Explanation: The ARIMA model (AutoRegressive Integrated Moving Average) is one of the most robust techniques for forecasting time series data. It combines three components: autoregressive (AR), which uses past values to predict future ones; integrated (I), which accounts for differencing to stabilize the series; and moving average (MA), which models the error terms. ARIMA works well for non-seasonal data and requires pre-processing such as stationarity checks. It is widely used in finance, sales forecasting, and inventory management. Option A: Exponential smoothing techniques, not ARIMA, focus on smoothing data for short-term forecasting. Option B: ARIMA handles more than linear trends; it also accounts for autoregressive and moving average aspects. Option D: Decomposition is a preparatory step for analysis, not ARIMAβs primary role. Option E: Seasonal indices are relevant for seasonal models like SARIMA, not ARIMA.
In a total 80-liter mixture of milk and water, there is 25% milk. How many liters of water should be added so that the quantity of milk in the mixture b...
A milkman mixed milk and water in an empty container in the ratio 14:9. The quantity of milk mixed was bought by the milkman at the rate of Rs. 25/litre...
In a mixture, the milk and water are in the ratio 9:2. When 44 liters of the mixture is replaced with 20 liters of water, the ratio becomes 9:4. Find t...
Quantity of water in a 350 litres mixture (Milk + Water) is 50 litres less than the quantity of milk in it. Find the quantity of water to be mixed so th...
- 360 litres of mixture 'P' has milk and water in the ratio 4:1, and 240 litres of mixture 'Q' has them in the ratio 5:3. What is the ratio of milk to water ...
(X + 140) liters of mixture A contains milk and water only such that quantity of water in it is (X β 100) liters less than quantity of milk in it. 75%...
A mixture contains liquid A and liquid B in the ratio of 5:3, respectively. If 12L of liquid B is added to this mixture, the respective ratio of liquid ...
In a 120-litre chemical mixture, the chemicals A and B are in the ratio 5:7. How much of chemical A must be added to make the ratio 7:7 (i.e., equal amo...
A vessel contains 200 litres of milk and water in the ratio of 5:3. If 10 litres of milk is added to the mixture, then find the ratio of milk to water i...
A mixture contains 30 ml water and rest βxβ ml milk. When 0.6x ml of water is added to the mixture, the quantity of water becomes 2/5th of the mixtu...