Mathematical curve fitting is probably the most objective method of isolating trend. This method enables us to obtain precise estimates of the trend values based on some objective criterion. One of the major problems in using this method is the selection of an appropriate ...

Read MoreThe long term cyclical movements in a time series can be studied more or less in the same way as the seasonal movements. The data for the study of cyclical movements consists of large number of yearly observations and seasonal variations are assumed to be absent. The multi ...

Read MoreUsing the additive model i.e., the de-trended series may be obtained by subtracting the trend values from the actual observations i.e., The remainder now consists of the seasonal and the residual components. The trend values that are subtracted mig ...

Read MoreUsing the multiplicative model i.e., the ratio detrended series may be obtained by dividing the actual observations by the corresponding trend values i.e., The remainder now consists of the seasonal and the residual components. The seasonal compone ...

Read MoreWhen the values of the independent variable occur with unequal spacing the formula discussed earlier is no more applicable. In this situation another formula which is based on divided difference is used. Before presenting the formula let us first discuss about what are div ...

Read MoreExample No 1: The following supply schedule gives the quantity supplied in hundreds of a product at prices in rupees: 80 90 ...

Read MoreA number of different formulae were given by Newton, however, two of these formulae are more common. One of these formulae is used when the independent variable assumes values with equal interval while the other is applicable when the interval is not equal. The first formu ...

Read MoreExample No 1: Interpolate the value of the function corresponding to , using Lagrange’s Interpolation formula from the following set of data: 2 ...

Read MoreLagrange’s formula is applicable to problems where the independence variable occur with equal and unequal intervals, but preferably this formula is applied in a situation where there are unequal intervals in the given independence series. Let the values of the inde ...

Read MoreThe time series data which is recorded after regular or irregular interval of time consists of values of a phenomenon at a certain point in time or the values of some hypothetical function corresponding to a few values of independent variable are not sufficient to prov ...

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