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 ARIMA’s primary role. Option E: Seasonal indices are relevant for seasonal models like SARIMA, not ARIMA.
If (7a + b) : (7a - b) = 7:3, then find the value of a:b?
522 + 160% of 80 - 130 = ? X 13Â
140% of 75 + 152 - 160 = ?
25% of 240 + √? = (2/3) × 120
961 × 4 ÷ 31 – 15% of 180 = ? – 73
Calculate the simplified value of the given expression:

What will come in the place of question mark (?) in the given expression?
√1936 + (84 ÷ 2 × 1.5) – 35² + 18² = ?
8(3/4) + 5(1/6) – 4(3/4) = ?
{(80% of 650 + 25 × 12) – 20 × ?} = 760
36×?² + (25% of 208 +13) = 60% of 2400 + 17×18