# med-med_by_hand

Document Sample

```					 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

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

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 5 posted: 9/25/2012 language: English pages: 5