y = bx + a + ε
ε - (, ).
εi i , :
1) xi yi α β
2) α β b, , .. ;
x | y | y(x) | x2 | y2 | x y | (yi-ycp)2 | (y-y(x))2 | (xi-xcp)2 | |y - yx|:y |
74.4 | 17.49 | 6.76 | 4.37 | 0.0338 | |||||
69.86 | 0.67 | 4.57 | 15.28 | 0.0297 | |||||
66.84 | 23.21 | 1.36 | 62.55 | 0.0171 | |||||
64.57 | 96.4 | 2.45 | 119.01 | 0.0249 | |||||
69.1 | 33.85 | 4.43 | 24.1 | 0.0314 | |||||
73.64 | 7.94 | 13.27 | 1.19 | 0.052 | |||||
78.18 | 17.49 | 1.4 | 50.28 | 0.0153 | |||||
82.72 | 84.31 | 0.52 | 171.37 | 0.00878 | |||||
77.43 | 38.21 | 2.48 | 37.1 | 0.0199 | |||||
72.89 | 0.0331 | 0.0128 | 0.00826 | 0.00155 | |||||
71.37 | 0.0331 | 2.64 | 3.64 | 0.0223 | |||||
319.64 | 39.9 | 488.91 | 0.26 |
.
.
:
.
. , :
( ).
y = 0.76 x -1.24
.
rxy = 0.94.
:
.
, , .
R2= 0.942 = 0.88
.
α H1 ≠ 0,
, α k = n - 2 t . t < t . |t| > t .
|
|
α=0.05 k=9 t:
t (n-m-1;α/2) = (9;0.025) = 2.262
m = 1 - .
( ).
r(0.85;1.02)
.
:
S2y = 4.43 - ( ).
Sy = 2.11 - ( ).
Sa - a.
Sb - b.
1) t-. .
t (n-m-1;α/2) = (9;0.025) = 2.262
.
(b - t Sb; b + t Sb)
(a - t Sa; a + t Sa)
2) F-. .
k1=1 k2=9, F = 5.12
.
5%-7% .
.
(a + bxp ε)
, 95% Y Xp = 120