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Multiple Linear Regression
h
Models the relationship between many quantitative variables
h
If we can model the relationship between two quantitative variables, we can use a set of variables, Xs, to
predict another variable, Y.
h
h
Example.
Reaction time of braking can be a result of
o
Age of driver
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Time of day
o
Weather conditions
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Probabilistic model that includes more than one independent variable
Regression Equation
y = deterministic model + random error
g G ±
²
³ ±
´
µ
´
³ ±
¶
µ
¶
³ ·³ ±
¸
µ
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³ ¹
y is the dependent variable
x
1
, x
2
,…, x
k
, are independent variables
β
i
is the contribution of the independent variable x
i
º»g¼ G ±
²
³ ±
´
µ
´
³ ±
¶
µ
¶
³ ·³ ±
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µ
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is the deterministic portion of the model.
Analyzing a Multiple Regression Model
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Hypothesize the determinist component of the model. What variables should go into the model?
o
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This note was uploaded on 10/03/2011 for the course STAT E509 taught by Professor Wheatley during the Spring '10 term at South Carolina.
 Spring '10
 Wheatley
 Linear Regression

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