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

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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.