Page 175 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI
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bdkbZ—10% lglaca/ % fo{ksi&fp=k fof/] dkyZ fi;lZu dk lglaca/ xq.kkad




                                           30                                                         uksV
                                    −    − 306
            ⇒             r =              12
                              R      25 U R      36 U
                              S 255  − V S 704 − V
                                       W T
                              T
                                                   W
                                     12
                                                 12
                                       −     − 306  2 5
                                               .
                                 =
                                    ( 255 −  . )(  − 2 1 704  3)
                                                                   .
                                                        .
                                      − 308 5.     − 308 5    − 308 5
                                 =             =            =         = – 0.733
                                                                 .
                                                          .
                                                   ,
                                                      ,
                                    252 9  × 701  177 282 9   42105
                                        .
            mnkgj.k (Illustration) 9: fuEu lkj.kh 12 LFkkuksa ij tkM+s esa cks;s tkus okys xsgwa osQ fy, X (4 bap xgjkbZ
            ij Hkwfe dk rkiØe iQkjsugkbV va'k esa) rFkk Y (mxus esa yxk le; fnuksa esa) osQ ewY;ksa dks iznf'kZr djrh gS
            %
               X  :  57    42     40   38    42   45    42   40   44    46   44    43
               Y  :  10    26     30   41    29   27    27   19   18    19   31    29
            gy (Solution):
                      Hkwfe dk rkiØe                         fnu

                          X – 44                           Y – 26                 d d
                                                                                   x y
                X         d x        d x 2       Y          d y        d y 2
               57         + 13        169        10        – 16        256       – 208
               42          – 2          4        26           0          0           0
               40          –  4        16        30         +  4        16        –  16
               38          – 6         36        41        + 15        225        – 90
               42          – 2          4        29         + 3          9         – 4
               45          + 1          1        27         + 1          1         + 1
               42          – 2          4        27         + 1          1         – 2
               40            0          0        19         – 7         49           0
               44          –  4        16        18         –  8        64        +  32
               46          + 2          4        19         – 7         49        – 14
               44            0          0        31         + 5         25           0
               43          – 1          1        29         + 3          9         – 3

                                                                       2
             ΣX = 523  Σd  = – 5  Σd  = 225   ΣY = 306   Σd  = – 6  Σd  = 704 Σd d  = – 306
                                     2
                          x
                                                           y
                                                                                x y
                                                                      y
                                    x
            [pwafd X  rFkk Y iw.kk±d ugha gSa vr% dfYir ekè;e ls fopyu ysuk lqfo/ktud jgsxkA]
                        ΣX   523
                   X =      =     = 43.58
                         N    12
                          Σ  2   Σd F  d I  2                    Σ  2   Σd F  d I  2
                              −G
                                                                           y
                            x
                                   x
                                                                    y
                   σ x  =   N H   N K J                    σ x  =   N H G  N K J
                                                                      −
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