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parameters) must be found.
у і = b o∙x 0 + b 1∙x 1 + b 2∙x 2. (4.7)
Coefficients are determined by equations:
1 N
b    X  y u , (4.8)
i iu
N u  1
i = 0, 1, 2, ..., k
m
1
y    y , (4.9)
k
m  j 1 uj

j = 1, 2, ..., m
where N is number of rows of planning matrix;

y
u is an average value of variable of condition for
parallel studies for line “u” of matrix of planning;
m - number of experiments which were parallelly
conducted;
k - number of factors and column of value of
dummy variable.

Task 4.1
Considering process of planning of experiment during the
studying of kinetic of reaction of hydrochloric acid with
carbonate rock. This reaction occurs in the case of hydrochloric
acid treatments of well. The reaction rate mainly depends on the
pressure P, temperature T and acid concentration C.
Supposing the concentration C is a constant, equal to
15 %, pressure and temperature during experiment will be
o
changed from 1 to 40 MPa and from 20 to 120 C. During
the experiment, we measure the mass fraction of soluble rock
from its original mass. Planning the experiment takes place on
two levels.

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