Copyright © 2012 Pearson Education, Inc.. All rights reserved.Chapter 3 Simple Linear Regression... Copyright © 2012 Pearson Education, Inc.. Copyright © 2012 Pearson Education, Inc.. C
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Chapter 3
Simple Linear
Regression
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Section 3.1
Introduction
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Figure 3.1 The straight-line model
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Figure 3.2 Scatterplot for data in
Table 3.1
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Figure 3.3 Visual straight-line fit to
data in Table 3.1
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Figure 3.4 Plot of the least squares
line y ^ = .1 7x
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Figure 3.5a SAS printout for
advertising-sales regression
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Figure 3.5b SPSS printout for
advertising-sales regression
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Figure 3.5c MINITAB printout for
advertising-sales regression
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Section 3.4
Model
Assumptions
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Figure 3.6 The probability
distribution of
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Section 3.5
An Estimator
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Figure 3.7 SAS printout for
advertising-sales regression
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Figure 3.8 Graphing the model
with 1 = 0: y = 0 +
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Figure 3.9 Sampling distribution of
^ 1
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Figure 3.10 Rejection region and
calculated t-value for testing whether the
slope 1 = 0
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Figure 3.11 SAS printout for
advertising-sales regression
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Section 3.7
The
Coefficient of
Correlation
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Figure 3.12a&b Values of r and
their implications
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Figure 3.12c&d Values of r and
their implications
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Figure 3.12e&f Values of r and
their implications
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Figure 3.13 MINITAB correlation
printout for Example 3.1
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Figure 3.14 MINITAB scatterplot
for Example 3.1
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Figure 3.15 SPSS correlation
analysis of tire data
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Figure 3.16 SPSS scatterplot of
tire data
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Section 3.8
The
Coefficient of
Determination
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Figure 3.17 A comparison of the sum of
squares of deviations for two models
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Figure 3.18 Portion of SPSS printout
for advertising-sales regression
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Figure 3.19 MINITAB graph of simple
linear model relating price (y) to floor height
(x)
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Figure 3.20 Estimated mean value and
predicted individual value of sales revenue
y for x = 4
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Figure 3.21 SAS printout showing
95% confidence intervals for E(y)
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Figure 3.22 SAS printout showing
95% prediction intervals for y
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Figure 3.23 Error of estimating the
mean value of y for a given value of x
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Figure 3.24 Error of predicting a future
value of y for a given value of x
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Figure 3.25 Comparison of widths of
95% confidence and prediction intervals
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Section 3.10
A Complete
Example
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Figure 3.26 SAS printout for fire
damage linear regression
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Figure 3.27 Least squares model
for the fire damage data
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Figure 3.28 SPSS regression through
origin printout for Example 3.6
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Figure 3.29 MINITAB scatterplot
for data in Example 3.6
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Figure 3.30 SPSS spreadsheet
with 95% prediction intervals
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Figure 3.31 Using a straight line to
approximate a curvilinear relationship when
the true relationship passes through the origin