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Chapter 11
Chapter 11

...  Least Squares gives equal weight to all observations.  Weighted Least Squares gives each observation a weight that is inversely related to its value of the square root of xt  large values of xt which we have assumed have a large variance will get less weight than smaller values of xt when estima ...
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< 1 ... 29 30 31 32 33 34 35 36 37 ... 76 >

Forecasting

Forecasting is the process of making predictions of the future based on past and present data and analysis of trends. A commonplace example might be estimation of some variable of interest at some specified future date. Prediction is a similar, but more general term. Both might refer to formal statistical methods employing time series, cross-sectional or longitudinal data, or alternatively to less formal judgmental methods. Usage can differ between areas of application: for example, in hydrology, the terms ""forecast"" and ""forecasting"" are sometimes reserved for estimates of values at certain specific future times, while the term ""prediction"" is used for more general estimates, such as the number of times floods will occur over a long period.Risk and uncertainty are central to forecasting and prediction; it is generally considered good practice to indicate the degree of uncertainty attaching to forecasts. In any case, the data must be up to date in order for the forecast to be as accurate as possible.
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