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Chapter 8 – Linear Regression
ActivStats:
81 to 84
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Chapter 8
Linear regression model
is a model of a relationship
beween two variables x, and y
Response = linear function of x + Error
y = b
o
+ b
1
x + Error
b
o
and
b
1
are
parameters
of the model
Goal:
Estimate b
o
and
b
1
and the regression line
x
b
b
y
1
0
ˆ
+
=
Method:
Least squares regression line – the line that
minimizes the sum of squared vertical distances between
points on the scatterplot and the line.
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x
b
b
y
1
0
ˆ
+
=
x
y
s
s
r
b
=
1
x
b
y
b
1
0

=
where
x
is the mean of
x
y
is the mean of
y
x
s
is the standard deviation of
x
y
s
is the standard deviation of
y
r
is the correlation coefficient (in regression
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This note was uploaded on 07/25/2008 for the course STT 200 taught by Professor Dikong during the Summer '08 term at Michigan State University.
 Summer '08
 dikong

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