SlideShare a Scribd company logo
BY:
Devyani Jain (09310)
Madhu Vuppuluri (09314)
Malvika Bahety (09315)
Saloni Grover (09328)
Utpala (09337)
Vasudha Gupta (09340)
MeasurementofForecasting
error
Mean error
Mean absolute deviation
MAD= mean of absolute
value of errors
Mean square error
MSE= mean of squared
errors
Mean percentage
error
Mena absolute
percentage error
Mean absolute
deviation
Mean square error
Error of an
individual
forecast=
actual value-
forecast value
Time series
components
•Trend
•Cyclicality
•Seasonality
•Irregularity
SMOOTHING
TECHNIQUES
Naïve
Forecasting
Models
Averaging
Models
Simple
Averages
Moving
Averages
Weighted
Moving
Averages
Exponential
Smoothing
 Linear Regression Trend Analysis
𝑌𝑖 = β0 + β1 + ϵi
 Regression Trend Analysis Using Quadratic Models
Yi = β0 + β1Xti + β2X²ti + ϵi
 Holt’s Two-Parameter Exponential Smoothing Method
Decomposition Technique
Uses the multiplicative model
Multiplicative Model=T.C.S.I
Winter’s three parameter exponential
smoothing model
Uses a weight for seasonality
Develops forecasts that include a
smoothing value for observations, a
trend value and a seasonal value
Seasonal effects are patterns of data behaviour that occur in periods of time of less than 1
year.
Autocorelation
Definition: When error terms of regression forecasting model are limited.
Problem: Coefficients of regression may not have minimum variance and may
be inefficient.
Solutions:
 Adding important predictor variables that have been left out.
 Transforming data into variables that may help solving the problem
Autoregression
A multiple regression when independent variable are time lagged version of
dependent variable.
𝑦 = 𝑏0 + 𝑏1 𝑌𝑡−1 + 𝑏2 𝑌𝑡−2 + 𝑏3 𝑌𝑡−2
SIMPLE INDEX NUMBERS
Makes possible conversion of prices, costs,
quantities etc. for different time periods into a no.
scale with base year equaling 100%
Ii = Xi/Xo
UNWEIGHTED AGGREGATE PRICE INDEX
NUMBERS
This is a technique used for combining several items
and determining index no. for total (aggregate)
Ii = ƩPi/ƩPo
WEIGHTED AGGREGATE PRICE INDEX NUMBERS
Computed by multiplying quantity weights and item prices in determining the
market base worth for a given year
IL = ƩPIQI/Ʃ PoQo
LASPEYRES PRICE INDEX
Computed by using quantities of the base
period of all other years.
ADVANTAGE – Price index for all years can
be compared
IL = ƩPIQI/Ʃ PoQo
PAASCHE PRICE INDEX
Computed by using the quantities for the year
of interest in computations for a given year.
ADVANTAGE – Incorporates current quantity
figures in the calculations.
IL = ƩPIQI/ƩPoQi
Qt presentation

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Qt presentation

  • 1. BY: Devyani Jain (09310) Madhu Vuppuluri (09314) Malvika Bahety (09315) Saloni Grover (09328) Utpala (09337) Vasudha Gupta (09340)
  • 2. MeasurementofForecasting error Mean error Mean absolute deviation MAD= mean of absolute value of errors Mean square error MSE= mean of squared errors Mean percentage error Mena absolute percentage error Mean absolute deviation Mean square error Error of an individual forecast= actual value- forecast value Time series components •Trend •Cyclicality •Seasonality •Irregularity
  • 4.  Linear Regression Trend Analysis 𝑌𝑖 = β0 + β1 + ϵi  Regression Trend Analysis Using Quadratic Models Yi = β0 + β1Xti + β2X²ti + ϵi  Holt’s Two-Parameter Exponential Smoothing Method
  • 5. Decomposition Technique Uses the multiplicative model Multiplicative Model=T.C.S.I Winter’s three parameter exponential smoothing model Uses a weight for seasonality Develops forecasts that include a smoothing value for observations, a trend value and a seasonal value Seasonal effects are patterns of data behaviour that occur in periods of time of less than 1 year.
  • 6. Autocorelation Definition: When error terms of regression forecasting model are limited. Problem: Coefficients of regression may not have minimum variance and may be inefficient. Solutions:  Adding important predictor variables that have been left out.  Transforming data into variables that may help solving the problem Autoregression A multiple regression when independent variable are time lagged version of dependent variable. 𝑦 = 𝑏0 + 𝑏1 𝑌𝑡−1 + 𝑏2 𝑌𝑡−2 + 𝑏3 𝑌𝑡−2
  • 7. SIMPLE INDEX NUMBERS Makes possible conversion of prices, costs, quantities etc. for different time periods into a no. scale with base year equaling 100% Ii = Xi/Xo UNWEIGHTED AGGREGATE PRICE INDEX NUMBERS This is a technique used for combining several items and determining index no. for total (aggregate) Ii = ƩPi/ƩPo WEIGHTED AGGREGATE PRICE INDEX NUMBERS Computed by multiplying quantity weights and item prices in determining the market base worth for a given year IL = ƩPIQI/Ʃ PoQo LASPEYRES PRICE INDEX Computed by using quantities of the base period of all other years. ADVANTAGE – Price index for all years can be compared IL = ƩPIQI/Ʃ PoQo PAASCHE PRICE INDEX Computed by using the quantities for the year of interest in computations for a given year. ADVANTAGE – Incorporates current quantity figures in the calculations. IL = ƩPIQI/ƩPoQi