Page 226 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI
P. 226

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡




                    uksV                                          2310
                                                               x =
                                                                   35
                                                              x = 66
                                  x dk eku leh- (1) esa j[kus ij]
                                                        12y – 45x = – 1590
                                                     12y – 45 × 66 = – 1590
                                                        12y – 2970 = – 1590
                                                             12y = 1380
                                                                  1380
                                                               y =
                                                                   12
                                                               y = 115
                                  lg&lEcUèk xq.kkad dh x.kukμlg&lEcUèk xq.kkad Kkr djus osQ fy, nksuksa izrhixeu xq.kkad fudkyus gksaxsA
                                  lehdj.k Li"V :i ls ugha fn;s gSaA vr% igys dks y dk x ij vkSj nwljs dks x dk y ij izrhixeu lehdj.k
                                  ekudj nksuksa xq.kkad fudkys tk;saxsA
                                             y dk x ij izrhixeu                 x dk y ij izrhixeu
                                            4y – 15x + 530 = 0                    – 3y + 20x = 975
                                                      4y =15x                          20x =3y
                                                          15                                 3
                                                     byx =                              bxy =
                                                           4                                 20
                                                     byx = 3.75                         bxy = 0.15
                                                             r =  byx −  bxy

                                                               =  375.  ×  0 15
                                                                        .
                                                             r = .75

                                  mgkgj.k (Illustration) 11: nks ;kn`fPNd pj&ewY; x vkSj y ls lEcfUèkr izrhixeu lehdj.k fuEu izdkj gSaμ
                                                   3x + 2y – 26 = 0
                                                     6x + y – 31 = 0
                                  Kkr dhft,μ
                                     (d) x vkSj y osQ eè;d ewY;

                                     ([k) x vkSj y esa fu'p;u xq.kkad rFkk lg&lEcUèk xq.kkad
                                      (x) y dk izeki fopyu σ  ;fn x dk izlj.k  σ x 2  = 25
                                                           y
                                  gy (Solution): loZizFke x vkSj y osQ ewY; dh x.kuk djus ij]
                                                        3x + 2y = 26                                         ...(1)
                                                         6x + y = 31                                         ...(2)
                                  leh- (2) esa 2 dk xq.kk djus ij
                                                         3x + 2y = 26
                                                       12x + 2y = 62                                     (?kVkus ij)
                                                         –     –  –
                                                           – 9x = – 36
                                                                 − 36
                                                             x =
                                                                 − 9

        220                               LOVELY PROFESSIONAL UNIVERSITY
   221   222   223   224   225   226   227   228   229   230   231