, . :
K(ti) - (. .);
L(ti) - (. .).
X(ti) - (..) (. 1).
1
t | X | K | L |
132,61 | 70,3 | ||
138,58 | 71,7 | ||
145,68 | 73,1 | ||
154,38 | 74,6 | ||
161,64 | 76,1 | ||
157,97 | 79,1 | ||
153,15 | 82,3 | ||
148,03 | 85,6 | ||
144,66 | |||
154,21 | 94,4 | ||
164,55 | |||
177,35 | |||
194,69 | 116,6 | ||
227,11 | 128,3 | ||
266,52 | 141,1 |
- , :
, α1, α2. :
lnX(ti) = lnA + α1* lnK(ti) + α2* lnL(ti).
ln () "Excel", lnX(ti), lnK(ti), lnL(ti) (. . 2).
2
lnX, lnK, lnL
t | lnX | lnK | lnL |
4,887 | 6,583 | 4,253 | |
4,931 | 6,723 | 4,272 | |
4,981 | 6,863 | 4,292 | |
5,039 | 7,003 | 4,312 | |
5,085 | 7,143 | 4,332 | |
5,062 | 6,920 | 4,371 | |
5,031 | 6,696 | 4,410 | |
4,997 | 6,472 | 4,450 | |
4,974 | 6,250 | 4,489 | |
5,038 | 6,346 | 4,548 | |
5,103 | 6,441 | 4,605 | |
5,178 | 6,535 | 4,663 | |
5,271 | 6,631 | 4,759 | |
5,425 | 6,968 | 4,854 | |
5,585 | 7,304 | 4,949 |
, Excel, - - .
:
3
R | 0,99987465 |
R- | 0,999749315 |
R- | 0,999707535 |
0,003245661 | |
4
df | SS | MS | F | F | |
0,504139918 | 0,252069959 | 23928,46725 | 2,48179E-22 | ||
0,000126412 | 1,05343E-05 | ||||
0,50426633 |
t- | P- | 95% | 95% | |||
Y- | 0,040532091 | 0,024625807 | 1,645919259 | 0,1257001 | -0,0131229 | 0,0941871 |
lnK | 0,259057537 | 0,002890817 | 89,61394525 | 2,49046E-1 | 0,25275898 | 0,26535608 |
lnL | 0,737895089 | 0,003966108 | 186,0501958 | 3,9084E-22 | 0,72925368 | 0,74653649 |
|
|
F- . , 0. F- , , . e F 0 (2,48-E), .. ( ). , 0.
- . .
, , "" "Excel". : =1,04.
, - :
:
- X = f(K) L = Lmax = const;
- X = f(L) K = Kmax = const.
K L 0 . Lmax = 141,1 Kmax = 1486. :
K = Kmax/20, L = Lmax/20 (74,3 7,005 ). , TP Excel. ( 1 2).
, ,
X(ti) - (. .). (ti) - (. .) L (ti) - ( . .).
- , : . :
β(ti) - ;
γ(ti) - .
:
( ) f(ti) α1 < l, - p(ti) α2 < 1.
5 , , 3 - , .
5