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SAI INTERNATIONAL SCHOOL


                                            Statistics for Economics


                                                       Class-XI


                                                  CHAPTER - 11

                                               Correlation analysis


                                                    (Module-64 )





               Calculation of Karl Pearson’s Coefficient of Correlation


               Direct Method


               Short Cut Method


               Step Deviation Method


               Direct method of measuring coefficient of correlation: -



                       When data size is small and             is in fraction then we apply the direct
                       method based on the data to easily calculate coefficient of correlation.


                                                                    −      .     
                                               =
                                                                           2
                                                                   2
                                                       2
                                                       − (    )       − (    )        2
               Example-2: - From the following data calculate coefficient of correlation.


                     X           1            2            3            4           5            6
                     Y          18           16           14           12           10           08
                       Solution:- Calculation of coefficient of correlation.


                                                                         2
                                                      2
                     X              Y                                                         ×   
                     1              18               1                 324                   18
                     2              16               4                 256                   32

                     3              14               9                 196                   42
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