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conditions of Task 4.1 and 4.3
Solving:
Variance of coefficients of equation of regression is
determined by the formula (4.13):
4
2 11 , 945 10 5
S , 9 95 10
b i
4 3
Determining root mean square deviation:
2 3
S S 9 , 97 10 ,
b i b i
Estimated value of Student's criterion is determined by
the formula (4.14):
0 , 481
t op 48 , 24
9 , 97 10 3
0 , 096
t 9 , 62
1 p 3
9 , 97 10
0 , 242
t 24 , 27
2 p 3
9 , 97 10
Tabular values of Student's criterion at degree of freedom
f o = 4∙(4-1) = 12 and significance level q = 0.05 is determined
t
from Table 4.2: Т = 2.18.
All coefficients of equation of regression are significant
t t
because ip Т .
The second way is to compare absolute values of
coefficients b i with the value of the confidence interval Δb i.
Determining the confidence interval:
b S , 9 97 10 3
i i b
So for:
-3
b o 0,481 > 9,97∙10 ;
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