Leading indicators
Compound indexes Diffuse indexesCollection of opinions and reviews of goals
Econometric methods
The simplest model
Time series analysis
The simplest model
Time series analysis
^
Forecasting techniques:
] Y – the experimental value of the analyzed variable
Y – the predicted value of the analyzed variable
t – index to distinguish periods
^
Y t+1 = Y t
^
Proportionaly - changing model
The value of a variable changes from current to next period will be proportional to the value of a variable changes from the previous period to the current period
Y t+1 = Y t + k ∆ Y t
^
Evaluation of k based on retrospective information.
K = 1 is a uniformly changing the model
Mechanical extrapolation
Forecasting techniques:
The simplest models:
Forecasting techniques:
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
Seasonal changes can be taken into account in the forecast using the seasonal index, which can be calculated by the method of moving average
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
Volume of sales
quarter
total
Step 2: Centralized moving average for each quarter is calculated as the average of each consecutive pair of 4-period moving averages
Step 3: Seasonal indexes are calculated by dividing the actual volume of sales for the corresponding quarter by centralized moving average for the same period
Step 4: arrange seasonal indexes quarterly
quarter
Year
Sales
4-period
moving
average
centralized
moving
average
Seasonal
index
0,99 1,38 0,98 0,65
Year
Average Seasonal index
total
Data to calculate Seasonal indexes
Average Seasonal index
0,99 1,38 0,98 0,65
4-period
moving
average
centralized
moving
average
Seasonal
index
Sales
Step 6: preparation of the forecast for each quarter of the coming year: multiply the last centered moving average for the quarter by its seasonal index
quarter
Year
The method consists of the selection of a regression line according to the observations so that the squares of their deviations from the regression line were minimal
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
^
^
Regression line is presented by: Y = a + bt, where a and b - parameters of evaluation, t – number of period
^
Taking partial derivatives of D function relative to a and b and equate them with zero, we obtain:
To find the values of the parameters a and b, it is necessary to solve the system of equations
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