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The Dickey-Fuller test is a statistical test used to determine whether a time series is stationary or not. A stationary time series has constant mean and variance over time, which is an important assumption in many time series forecasting models, including ARIMA. If a time series is not stationary, it can be made stationary by differencing the data. The Dickey-Fuller test specifically tests the null hypothesis that a time series has a unit root, indicating non-stationarity. Option A is incorrect because the Dickey-Fuller test is not used to determine the best forecasting model. Option C is incorrect as the Dickey-Fuller test does not specifically address seasonal patterns but rather focuses on stationarity. Option D is incorrect because the Dickey-Fuller test is a diagnostic tool and not a forecasting method. Option E is incorrect because the test does not detect outliers but rather checks for stationarity.
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. x³= ((4)5+ (15)³)/(3)4
II. 8y³=(-13)3÷ √1521+ (3y)³
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 33x² - 186x + 240 = 0
Equation 2: 35y² - 200y + ...
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. x2 - 11x + 24 = 0
II. y² - 5y + 6 = 0
What will be the product of smaller roots of both equations.
I. 8x – 3y = 85
II. 4x – 5y = 67
If x2 - 3x - 18 = 0 and y2 + 9y + 18 = 0, which of the following is true?
I. 10x² - 11x + 3 = 0
II. 42y² - 23y – 10 = 0