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					 Median-Median Model by Hand
         Finding the MMM from 3 Summary Points




                  (2,9)                (4,10)
                                       )




            (1,4)




Coons: Med-Med By Hand                           Page 1 of 5
         Finding the MMM from 3 Summary Points
Detailed answer to previous problem




             Median-
                                            L
           Median Model


    (2,9)                              (4,10)
                                       )

                                       1)   Find the equation of the line, L,
                                            containing the outer two summary
                                            points:
                                                       10  4
                                            L : mL           2
                                                        4 1
                                             y  4  2(x 1)
                                             y  2x  2
                               2) Slide L one-third of the way to the middle
                                  summary point:
                                  a) Find a point on L with the same first-
                                  
                                      coordinate as the middle summary point.
            (2,6)                     If x= 2 then y = 2(2) + 2 = 6  (2,6)

                                  b) Find 1/3 the vertical distance, d, from the
                                   middle summary point to L:
                                         1
                                     d  (9  6)  1
                                         3
                                  c) Slide L d-units in the proper direction: Slide
                                     L up one unit.
(1,4)                              The Median-Median Model is y  2x  3 .



                                                         




Coons: Med-Med By Hand                                               Page 2 of 5
                              In Class Exercise
     Find the MMM for the given 3 summary points:



                     (6,26)
                     )




                                                  (12,14)


                                   (10,12)




     Answer : y = – 2x + 36



     Coons: Med-Med By Hand                                 Page 3 of 5
                      Finding Summary Points
 A. Given data.

 Independent Variable           3        2           1        5           4
 Dependent Variable             20       8           10       20          18

 B. Sort data by independent variable.

 Independent Variable           1        2           3            4       5
 Dependent Variable

 C. Break data into 3 “equal” groups.

     1      2               3                    4        5


 D. Find the summary points of each group based on the
    median of the independent values and then the
    median of the dependent-values.

         SL = (   ,   )   SM = (     ,       )   SR = (       ,       )


 E. Find the Median-Median Model.

         Answer : y = 10 x + 6
                       3







 Coons: Med-Med By Hand                                                        Page 4 of 5
                          In Class Exercise
 Finding Median-Median Model Exercise #1
 A. Given data.

 Independent Variable        3          4         1            2        6         5
 Dependent Variable          14         18        10           8        30        20

 B.

 Independent Variable
 Dependent Variable

 C.




 D.

       SL = (    ,   )    SM = (   ,     )    SR = (       ,        )


 E.

        Answer : y = 4x + 8 3

 Finding Median-Median Model Exercise #2

 Independent Variable      4       6         1         2           7     3         5
 Dependent Variable        18      30        10        8           28    14        20

        Answer : y = 4x + 8 3



 Coons: Med-Med By Hand                                                      Page 5 of 5

				
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posted:9/25/2012
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