Tsu-2011 - ieeetsu

B trestis
monacemebi
5. rac ufro koncentrirebulia monacemebi raime wrfis midamoSi,
miT ufro didia korelaciis koeficienti.
6. or sidides Soris kavSiri arsebobs, Tu adgili aqvs Tanafardobas:
| r| 2/ n, sadac n SerCevis moculobaa.
7. Tu mocemulia monacemTa ori simravle x 1
,..., x
n
da y 1
,..., y
n
, maSin
monacemTa axali z i
x i
y i
( i
1,..., n) simravlisaTvis SerCeviTi dispersia
2 2 2
2 2 2
ase gamoiTvleba: s s s 2cov( x, y)
(Tu cov( xy , ) 0, maSin s s s ).
analogiurad,
z x y
s s s 2cov ( x, y)
, sadac
'2 '2 '2 '
z x y
1
n
.
n
'
cov ( x, y) ( xi
x)( yi
y) cov( x, y)
n1
i1
n1
z x y
magaliTi 5. mocemulia ori trestis wliuri saprocento Semosavlis
monacemebi bolo 10 wlis ganmavlobaSi:
tresti A 8.3 -6.2 20.9 -2.7 33.6 42.8 24.4 5.2 3.1 30.5
tresti B 12.1 -2.8 6.4 12.2 27.8 25.3 18.2 10.7 -1.3 11.4
avagoT gabnevis diagrama da gamovTvaloT korelaciis koeficienti.
amoxsna. A trestis monacemebi gadavzomoT x RerZze, B trestisa ki
y RerZze.
gabnevis diagrama
30
25
20
15
10
5
0
-20 -5 0 20 40 60
A trestis monacemebi
am SemTxvevaSi x 16 , y 12, s 17.65 da s 10.51 . amitom gvaqvs:
x
n
1
cov( x, y)
x y xy
n i 1
1
[8.3 12.1 ( 6.2) ( 2.8) 30.5 11.4] 16 12 71.48 ,
10
Sesabamisad,
cov( xy , ) 71.48
r 0.39 .
ss 17.65 10.51
x
y
i
i
y
212