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In
the simple linear case
,
describes the
mean Y value as a function of
x
.
Similarly to the linear case
, the
population regression function
,
, gives the expected
value of Y as a function of
. The
are called the population regression coefficients.
The regression coefficients
can be understood as the expected change in Y related
with a one unit increase in
while all other variables are held constant [2].
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actual value
simple case