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A second course in statistics regression analysis 7th by mendenhall ch04

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Chapter 4
Multiple
Regression
Models

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Section 4.1
General
Form of a
Multiple
Regression
Model

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4- 3


Section 4.2
Model
Assumptions

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Section 4.3


A First-Order
Model with
Quantitative
Predictors

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4- 6


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4- 7


Figure 4.1 Graphs of
E(y) = 1+ 2x1 = x2 for x2 = 0,1,2

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4- 8


Section 4.4
Fitting the
Model: The
Method of

Least Squares

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4- 10


Figure 4.2 MINITAB side-by-side
scatterplots for the data of Table 4.1

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4- 11


Figure 4.3 SAS regression output for
the auction price model, Example 4.1

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4- 12


Section 4.5
Estimation of
σ 2, the
Variance of ε


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4- 14


Section 4.6
Testing the
Utility of a
Model:
The Analysis
of Variance
F-Test
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4- 16


Figure 4.4 Rejection region for the
global F-test

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Figure 4.5 MINITAB regression
printout for grandfather clock model

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4- 18


Section 4.7
Inferences
About the
Individual β
Parameters

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4- 20


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Figure 4.6 SAS regression output for

the auction price model, Example 4.4

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4- 22


Section 4.8
Multiple
Coefficients of
Determination:
2

2

R and R a

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Figure 4.7 A portion of the SPSS
regression output for the auction price
model

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4- 24


Section 4.9

Using the
Model for
Estimation
and Prediction

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