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7/25/2019 Least Square Method for Forecasting
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LEAST SQUARE METHOD FOR FORECASTING
The data for demand of soft drinks in one month for ario!s distri"ts of
Chhattis#arh is "o$$e"ted from the sa$es de%artment and the estimation for
demand of soft drinks for Rai%!r &'ith %o%!$ation of () $akh* is to +edetermined !sin# Least S,!are Method +- fittin# $inear re#ression.
Usin# the Least S,!are Method the demand for Rai%!r distri"t is "a$"!$ated as
fo$$o's/
X Y XY X2
5 01 2(3 0)7 (3 013 (4
15 5) 46) 00)
22 13 2653 (1(
27 45 0)40 604
36 273 (513 2045
X = 112 Y =439 XY = 10427 X2= 2808
The e,!ations for Least S,!are Method are/
Y = n a + b X
XY = a X + n X2
i.e.
(74 8 5 a 9 220 +
2(306 8 220 a 9 0131 +
So$in# the a+oe e,!ations:
a = 15.076
DISTRICT POPULATION(IN LAK!
D"#AND(NO O$ %OTTL"S IN LAK!
DHAMTARI ) 01
;OR
7/25/2019 Least Square Method for Forecasting
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& = 3.112
E,!ation for Line of Re#ression/
Y = a + b X
i.e.: @ 8 2).365 9 7.220 &()*
Y = 155.116
or 2)).225 $akhs of +ott$es
The demand of soft drinks for Rai%!r is estimated as 2)).225 $akh +ott$es.