Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by At and Ft respectively.
A) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|A_{t}-F_{t}\right|}{n}} $

B) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n} \sqrt{\left|A_{t}-F_{t}\right|}}{n}} $

C) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left(\lambda t-F_{t}\right)^{2}}{n}} $

D) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|\frac{A_{t}+F_{t}}{2}\right|}{n}} $

Question

Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by At and Ft respectively. 
A) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|A_{t}-F_{t}\right|}{n}} $

B) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n} \sqrt{\left|A_{t}-F_{t}\right|}}{n}} $

C) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left(\lambda t-F_{t}\right)^{2}}{n}} $

D) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|\frac{A_{t}+F_{t}}{2}\right|}{n}} $

Quizplus · Accepted Answer

The Answer of Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by At and Ft respectively. 
A) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|A_{t}-F_{t}\right|}{n}} $

B) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n} \sqrt{\left|A_{t}-F_{t}\right|}}{n}} $

C) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left(\lambda t-F_{t}\right)^{2}}{n}} $

D) RMSE $ =\sqrt{\frac{\sum_{t=1}^{n}\left|\frac{A_{t}+F_{t}}{2}\right|}{n}} $

Identify the Formula Used to Calculate the Root Mean Square =∑t=1n∣At−Ft∣n =\sqrt{\frac{\sum_{t=1}^{n}\left|A_{t}-F_{t}\right|}{n}} =n∑t=1n​∣At​−Ft​∣​​

Identify the Formula Used to Calculate the Root Mean Square $=\sqrt{\frac{\sum_{t=1}^{n}\left|A_{t}-F_{t}\right|}{n}}$