Chapter One
Review of Ordinary Linear
Regression and Its Assumptions
1.1 THE ORDINARY LINEAR REGRESSION EQUATION
AND ITS ASSUMPTIONS
A linear regression equation can be alternatively specified as
(1.1)
[y.sub.i] = [
ß.sub.0] + [
ß.sub.1]
[x.sub.i] +
[[element of].sub.i] or
[
µ.sub.
y|
x] = [
ß.sub.0] + [
ß.sub.1]
x or
E(
y|
x) = [
ß.sub.0] + [
ß.sub.1]
x
to describe the quantitative relationship between a single predictor
x and an outcome
y. In the population health research projects described in the Introduction,
y may be a measured GHb or the score of a very low birth weight (VLBW) child
on a test, or the systolic blood pressure ( ...
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