Page 2 - Home assignment-correlation analysis.
P. 2

EX: -    a.      =   (  )


                              b.        =   (  )  where
                                         
                                     ′   ′                                                           ′  ′                                .
                                          
                              c.        =   (  )  where
                                         
                                     ′   ′                                                          ′  ′                                .
                                          

                                     The above examples come under simple correlation as we
                                     deal with only two variables.

                              The correlation is said to be Multiple when the degree of

                              relationship between three or more variables are studied
                              simultaneously.

                                .              =   (  ,   )

                                      Here we study the relationship between 3 variables x, y & z.


                              ii.       =      ,   ,    ,         where
                                         
                                                       
                                        ′
                                     ′                                                       
                                          
                                                                        .
                                                                                                       
                                        

                                                                                                       

                                                                                            .

                              When the degree of relationship between more than two
                              variables are studied out of many variables, assuming the role of

                              others as silent or neutral we call it partial correlation.

                                        =      ,    where                                                       
                                         
                                                                
                                                                        .


                                                                                                       

                              In the above example it is observed that only the relationship
                                     between three variables   ,              are studied and
                                                                    
                                                  are assumed to be silent or neutral as per
                                        
                                     example-2 above is called partial correlation.

                     2.  Positive and negative correlation: -
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