, σ, σ 2, Vσ . 5 6 ( ).
6
, .. | , | , fj | ||||
20,0-28,0 | 24,0 | -16,0 | 256,0 | |||
28,0-36,0 | 32,0 | -8,0 | 64,0 | |||
36,0-44,0 | 40,0 | 0,0 | 0,0 | |||
44,0-52,0 | 48,0 | 8,0 | 64,0 | |||
52,0-60,0 | 56,0 | 16,0 | 256,0 | |||
- | - | - |
:
..
:
..
:
σ2= 8,52= 72,5
:
. σ , 40,0 .., 8,5 .. ( 21,3%), 31,5 48,5 .. ( ).
Vσ = 21,3% 33%, , . , ( =40,0 .., =41,0 .., =40,4 ..), . , (40,0 ..) , .
:
..
, (39,6 ..) (40,0 ..), , 30- , , , . , (40,0 ..), .
2
. 1 1 :
|
|
1. , .
2. , .
3. .
2.
2
, , .
, . , , .
2 (X), (Y).
1.
j- Y. ( ), X Y .
3, , - Y - . (. 7):
7
, .., x | , fj | , . | ||
, | ||||
5=4:3 | ||||
3 ( 4), . . 8:
8
, .., x | , fj | , . . | ||
, | ||||
5=4:3 | ||||
20,0-28,0 | 29,0 | |||
28,0-36,0 | 35,0 | |||
36,0-44,0 | 39,0 | |||
44,0-52,0 | 46,0 | |||
52,0-60,0 | 53,0 | |||
40,0 |
. . 8 , , .
|
|
2.
() Y Y :
Y,
() Y.
, Y ( )
yi ;
;
n .
, - ( )
,
,
j- ,
k .
, :
. 8 ( 3 4 ). , :
= =40,0 . .
12.
12
, . . | |||
-12,0 | 144,0 | ||
-11,0 | 121,0 | ||
-10,0 | 100,0 | ||
-9,0 | 81,0 | ||
-5,0 | 25,0 | ||
-5,0 | 25,0 | ||
-5,0 | 25,0 | ||
-4,0 | 16,0 | ||
-4,0 | 16,0 | ||
-4,0 | 16,0 | ||
-3,0 | 9,0 | ||
-2,0 | 4,0 | ||
-2,0 | 4,0 | ||
-1,0 | 1,0 | ||
-1,0 | 1,0 | ||
-1,0 | 1,0 | ||
0,0 | 0,0 | ||
1,0 | 1,0 | ||
1,0 | 1,0 | ||
2,0 | 4,0 | ||
2,0 | 4,0 | ||
4,0 | 16,0 | ||
5,0 | 25,0 | ||
5,0 | 25,0 | ||
6,0 | 36,0 | ||
6,0 | 36,0 | ||
8,0 | 64,0 | ||
11,0 | 121,0 | ||
13,0 | 169,0 | ||
15,0 | 225,0 | ||
- | 1316,0 |
:
=
13. . 8 ( 5).
13
, .., x | , fj | , . | ||
20,0-28,0 | 29,0 | -11,0 | 363,0 | |
28,0-36,0 | 35,0 | -5,0 | 150,0 | |
36,0-44,0 | 39,0 | -1,0 | 11,0 | |
44,0-52,0 | 46,0 | 6,0 | 288,0 | |
52,0-60,0 | 53,0 | 13,0 | 338,0 | |
40,0 | - | 1150,0 |
:
:
87,2%
. 87,2% , 12,8 % .
|
|
:
: .
3. .
, .. . - , , , . , , , , , .
() . F- ,
,
n ,
m ,
,
j- (j=1,2,,m),
.
, :
,
.
F- F F k1, k2, n m: k1=m-1, k2=n-m. F , k1, k2 , ( ) F- , k1, k2. - 0,05 ( =0,95).
F>F, , .. , . , , , .
F<F, , , , .
F- =0,05; k1=3,4,5; k2=24-35 :
k2 | ||||||||||||
k1 | ||||||||||||
3,01 | 2,99 | 2,98 | 2,96 | 2,95 | 2,93 | 2,92 | 2,91 | 2,90 | 2,89 | 2,88 | 2,87 | |
2,78 | 2,76 | 2,74 | 2,73 | 2,71 | 2,70 | 2,69 | 2,68 | 2,67 | 2,66 | 2,65 | 2,64 | |
2,62 | 2,60 | 2,59 | 2,57 | 2,56 | 2,55 | 2,53 | 2,52 | 2,51 | 2,50 | 2,49 | 2,48 |
F- =87,2%, =43,9, =38,3:
F
F- = 0,05:
n | m | k1=m-1 | k2=n-m | F (,5, 25) |
2,76 |
: F>F, =87,2% () 95% , , , .
|
|
3
1 0,683 :
1) , .
2) 44 . , .
3
, , 44 .. .